Can someone help me with this question please !!
I have to know how to solve it to pass my exam

I'll give brainly to the right answer .

Answers

Answer 1

Answer:

Step-by-step explanation:

you'll need to know L'Hôpital's Rule. Obviously this problem goes to zero in the denominator if you let x go to zero, which is a big problem :P sooo use L'Hopital's rule to solve this messy problem.

L'Hoptial's rule takes the advantage that you can find the derivative of something but still find it's limit just like you didn't take a derivative. soo

take derivative of numerator and denominator separately

remember how to take derivative of sin^2(3x) ??

pull the two down, then chain rule

d/dx (sin^2(3x) = 2sin(3x) * cos(3x) * 3 = 6*sin(3x)*cos(3x)

d/dx (4x^2) = 8x

we still have the same issue if we take the limit if x goes to zero :0

but it's okay... just take L'Hopitals' again :P

d/dx (6*sin(3x)*cos(3x)) = 6*cos(3x) *3 *(-sin(3x)*3 = 54*cos(3x)*(-sin(3x))

d/dx (8x) = 8

now we can let the limit go to zero

lim ( x ->0)[54*cos(3x)*(-sin(3x)) / 8]

we can see that sin(x) will get closer and closer to zero so we have 0/8

so we can fairly say, without guessing, that yes... this limit goes to zero as X goes to zero. :) nice

Related Questions

Pleaseee help me
a +3> 14 or a -5 ≤3

Answers

Answer:

a>11
[tex]a\leq 8[/tex]

Step-by-step explanation:

a+3>14
-3. -3

a>11
a-5<=3

+5. +5

a<=8

Hopes this helps please mark brainliest

Determine an nth degree polynomial that satisfies the aforementioned conditions.

Answers

The nth-degree polynomial that satisfies the aforementioned conditions is the polynomial p (x) = -3 (x + 9) (x - 1 - 6i) (x - 1 + 6i).

Given that:

p is of degree 3.

1 + 6i and -9 are zeros of p.

Since 1 + 6i is an imaginary number equal to zero so 1 - 6i must also be the one equal to zero.

So, p (x) = A (x + 9) (x - (1 + 6i)) (x- (1-6i))

p (x) = A (x + 9) (x - 1 - 6i) (x - 1 + 6i) ........ (Z)

Using formula:

(a-b) (a+b) = a² - b²

(a-b)² = a² - 2ab + b²

Assume, x - 1 = a, 6i = b

p (x) = A (x + 9) (x² - 2x + 1 + 36)

As i² = -1

p (x) = A (x + 9) (x² - 2x + 37)

Solving this equation we get,

p (x) = A (x³ - 2x² + 37x + 9x² - 18x + 333)

p (x) = A (x³ + 7x² + 19x + 333) ....... (1)

Given that:

p(2) = -1221

Putting the value of x = 2 and p(2) = -1221 in equation (1).

p(2) = A (2³ + 7(2²) + 19(2) + 333)

=> -1221 = A (8 + 28 + 38 + 333)

=> A = -1221/407

=> A = -3

Putting the value of A = -3 in equation (Z).

Hence, the polynomial p (x) = -3 (x + 9) (x - 1 - 6i) (x - 1 + 6i).

To learn more about the polynomial visit: https://brainly.com/question/11536910

#SPJ1

A freight train and a passenger train leave Portland at the same time on parallel tracks heading for Springfield. The passenger train goes 30 mi/hr faster than the freight train, and in 6 hr the passenger train travels three times farther. What is the speed of each train?

Answers

The passenger train traveling at 30 mi/hr faster than the freight train and traveling 3 times the distance traveled by the freight train, through the kinematic equations, indicates that the speed of the freight train is 15 mi/hr and the speed of the passenger train is 45 mi/hr.

What is kinematics?

Kinematics is the study of the motion of an object without reference to the force that causes the motion.

The speed of the passenger train = 30 + The speed of the freight train

Distance traveled by the passenger train in 6 hours = 3 × The distance traveled by the freight train

Let v represent the speed of the freight train and let d represent the distance traveled by the freight train in 6 hours

From kinematic equations, we get;

Speed of the passenger train = 30 + v

Distance traveled by the passenger train in 6 hours = 3 × d

(30 + v) × 6 = 3•d

6•v = d

Which gives; (30 + v) × 6 = 3 × 6•v

180 + 6•v = 18•v

12•v = 180

v = 180 ÷ 12 = 15

The speed of the freight train is v = 15 mi/hr

The speed of the passenger train = 30 + v

The speed of the passenger train is (30 + 15) mi/hr = 45 mi/hr

Learn more about the kinematic equations here:

https://brainly.com/question/24458315

#SPJ1

I really need help on this one I am confused and if someone could explain that would be great. also I am sorry the picture is flipped I couldn't turn it.

Answers

The hourly rate that the business owner should pay the employees to obtain the desired net income of $40,000 is of:

$17.

How to calculate the net income?

The net income is calculated as the subtraction of the total income by the expenses.

In the context of this problem, the expenses are given as follows:

Building and equipment: $900 a month = $10800 a year.Hearse: $200 per month = $2400 per year.Lead car: $150 per month = $1800 per year.Insurance: $1500 per year.Licensing/Certification: $250.Three employees, each working 20 hours a week = 52 x 20 = 1040 hours a year.

Hence the expression for the net income is given as follows:

110000 - [10800 + 2400 + 1800 + 1500 + 250 + 3(1040x)] = 40000

93250 - 3120x = 40000

3120x = 53250

x = 53250/3120

x = $17 an hour.

More can be learned about net income at https://brainly.com/question/25895372

#SPJ1

What happens to a parabola when you change certain elements of the equation?

Answers

Supoose a<1 compared to the parent function then parabola is wider than the parent function.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Direction the parabola opens the value of p as positive, the parabola opens up.

The focus and vertex both have the same x position, so the distance would be in terms of the y-coordinates only.

Supoose a<1 compared to the parent function then parabola is wider than the parent function

If "a" is a fraction less than one, therefore the parabola becomes wider.

Learn more about conic sections here:

brainly.com/question/12854078

#SPJ1

A regular polygon has 18 sides. If one of its angles measures (4h − 25)°, what is the value of h?

Answers

Answer: h = 46.25

Step-by-step explanation:

You can use the formula below to calculate the value of its interior angle:

n = number of sides = 18

[tex]\frac{(n-2)*180}{n} =\frac{(18-2)*180}{18} =\frac{16*180}{18} =160[/tex]

So, each one of its interior angles is equal to 160°. Set that equal to the given angle measure and solve:

[tex]160=4h-25\\\\4h=160+25=185\\\\h=46.25[/tex]

Consider the following linear equation.

y=−43x+2
Step 1 of 2 : Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.

Answers

Slope: -1/9

Y-Intercept: 2

Getting rain at least once in 11 days if Probability of rain on each single day is 0.4

Answers

Answer:

because u can't predict the days rain will fall so u can say it will fall in ratio 0:4

Best Buy has an iPad for $540. This weekend it’s on sale for 30% off. Best Buy charges 8% sales tax. If you were to purchase this iPad this weekend, what is the amount of money do you give the clerk? Show your work.

Answers

Answer:

Step-by-step explanation:

540x0.30=378

378x0.08=30.24

378+30.24=408.24

132.16 kg of beef was placed into 16 packages of equal weight. what is the weight of one package beef?

Answers

The weight of one package beef is 8.26kg

What is division of numbers?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

For example, if 10 students are to share 100 oranges, if they are to share it equal, then each students will receive 100/10= 10 oranges

Similarly 132.16kg was placed into 16packages of equal weight.

Therefore the weight of each package beef will be 132.16/16= 8.26kg

learn more about division of numbers from

https://brainly.com/question/941863

#SPJ1

On a January evening in upstate New York, 8 inches of snow was on the ground. At 11pm, it began snowing 1/4 inch per hour and snowed consistently for 14 straight hours.

Answers

The slope of the linear function that models this situation is given as follows:

m = 0.25.

How to obtain the parameters of a linear function?

The slope-intercept representation of a linear function is given as follows:

y = mx + b

Hence the coefficients of the function and their meaning are obtained as follows:

m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the amount represented by the function, i.e., the numeric value of the function when the input variable x assumes a value of 0.

In this problem, these parameters are defined as follows:

Intercept of 8, as it was the initial amount of snow on the ground.Slope of 1/4 = 0.25 inches, as it is the amount by which the amount of snow on the ground increases each hour.

Hence the linear function modelling the situation is:

y = 8 + 0.25x.

Missing Information

The problem asks for what is the slope of this situation.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Yoga pants are on sale for 1/3 off the original price. If a pair of yoga pants normally costs $60, what is sales price?

Answers

The sales price of the yoga pants is $20.

How to calculate the price?

It should be noted that from the information illustrated, the Yoga pants are on sale for 1/3 off the original price and a pair of yoga pants normally costs $60.

The sales price will be:

= Fraction given × Original price

= 1/3 × $60

= $20

The price is $20.

Learn more about price on:

brainly.com/question/1153322

#SPJ1

Suppose that the functions and are defined as follows.

Find the following.

Answers

The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))= -38

Given that,

All real numbers x are defined by the functions r and s.

r(x) =2x+1

s(x) =-2x²-2

We have to find the expression

r( s(-3))

Take the functions,

r(x) =2x+1

s(x) =-2x²-2

Now, Take

r( s(-3))

Substitute s function first

r(-2(-3)²-2)

r(-2(9)-2)

r(-18-2)

r(-20)

Now substitute r function

2(-20)+2

-40+2

-38

Therefore, The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))=-38

To learn more about expression visit: https://brainly.com/question/14083225

#SPJ1

ron picked 7/10 bushels of apples ben picked 9/10 bushels of apples how many apples did they pick all together give your answer in lowest terms

Answers

7/10+9/10=16/10=8/5bushels of apples

This number line models the division problem 14÷5 .

What is the quotient?

Enter your answer as a fraction in simplest form by filling in the boxes.

$$

Answers

The simplest form of fraction (1/4)/5 is 1/20.

What is quotient?

A quotient is the simplest or resultant value of division of two numbers. In two numbers, one number is dividend and another number is divisor,

quotient=dividend/divisor

The simplest form for fraction (1/4)/5,

(1/4)/5=1/(4×5)

= 1/20

So, the simplest form of (1/4)/5 is 1/20.

To know more about Quotient on:

https://brainly.com/question/17486526

#SPJ1

What is the first step in estimating the quotient for 492 divided by 50?

Answers

Answer:

Step-by-step explanation:

Round 492 to 500, then estimate 500/50

Question 5 (1 point) O O The angles that are marked the same are congruent. One mark congruent to one mark; two marks congruent to two marks; three marks congruent to three marks For the image shown, which of these statements is true? O O TH a HA If vertical angles are congruent, then the lines are parallel. If alternate interior angles are congruent, then the lines are perpendicular. If corresponding angles are supplementary, then the lines are parallel. d If corresponding angles are congruent, then the lines are parallel. b

Answers

Answer:

d. If corresponding angles are congruent, then the lines are parallel

Step-by-step explanation:

This is an example of two lines intersected by a transversal. If corresponding angles on both lines are equal, then the lines must be parallel! Think about it! If both of the two-mark angles were 30 degrees, both lines would be pointing in the exact same direction - parallel!

If corresponding angles are congruent, then the lines are parallel thus option (d) is correct.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

As per the given two parallel lines and one transversal.

The angle with a single mark is collectively known as the corresponding angle.

If the corresponding angle is the same insure that both lines which intersect at single lines will be parallel.

Hence "If corresponding angles are congruent, then the lines are parallel".

To learn more about parallel lines;

https://brainly.com/question/16701300

#SPJ2

The technician at the store worked on the computer for 4.25 hours and charged him $141 for parts. The total was $332.25. Write and solve an equation which can be used to determine x the cost of the labor per hour.

Answers

The cost of the labor per hour is $ 45

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total cost of the parts is = $ 141

The total number of hours worked by the technician = 4.25 hours

The total cost of repair = $ 332.25

Let the cost of the labor be = y

The total cost of labor =
Cost of the labor per hour x Number of hours worked by the technician

The total cost of labor = 4.25y

Now ,

The total cost of repairing the computer =
Total cost of labor + Total cost of the parts

The total cost of repairing the computer = 141 + 4.25y

332.25 = 141 + 4.25y

Subtracting 141 on both sides , we get

4.25 y = 191.25

Divide by 4.25 on both sides , we get

y = $ 45

Therefore cost of labor per hour y = $ 45

Hence , the total cost of labor per hour is $ 45

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

Present value interest rate? You expect to receive $10000 as a bonus after 5years on the job. You have calculated the parent value of this bonus and the answer is $8000 what discount rate did you use in your calculation

Answers

The discount rate used in calculator wound be 4.56%.

Given that,

You anticipate getting a bonus of $10000 after five years on the job.

We have the result of your calculation for the parent value of this bonus is $8000. what percentage of a discount rate did you use.

We know that to find the present value of a future sum of money .

PV= FV/(1+r)ⁿ

Here,

PV is present value = $8000

FV is future value = $10000

r is discount rate we have to find

n is time = 5 years

Substitute in the formula,

$8000=$10000/(1+r)⁵

(1+r)⁵=$10000/$8000

(1+r)⁵=1.25

1+r=[tex]1.25^{1/5}[/tex]

1+r=1.0456

r=1.0456-1

r=0.0456

r=4.56%

Therefore, The discount rate used in calculator wound be 4.56%.

To learn more about calculator visit: https://brainly.com/question/15380536

#SPJ1

In the past, Jessica got paid $197,980 annually. Since switching to a new career, she has been making 35% more. How much does Jessica make now?
$
thanks if you answer!!!! :")

Answers

Answer: $267,273

Step-by-step explanation:

$197,980 × 0.35 (35%) = $69,293

$197,980 + $69,293 = $267,273

Jessica now makes $267,273 annually.

PLEASE URGENT PLEASE

Answers

The equation of the line in slope-intercept form is y = 5x-22.

What is slope-intercept form of an equation?

The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line.

The slope-intercept form of an equation is given as

Formula:

y₂-y₁/x₂-x₁ = y-y₁/x-x₁........... Equation 1

Where:

y₂ = 4y₁ = 3x₂ = 10x₁ = 5

Substitute these values into equation 1

(4-3)/(10-5) = (y-3)/(x-5)1/5 = (y-3)/(x-5) (y-3) = 5(x-5)y-3 = 5x-25y = 5x-25+3y = 5x-22

Hence, the equation in slope-intercept form is y = 5x-22.

Learn more about slope-intercept form: https://brainly.com/question/1884491

#SPJ1

Find the next 3 numbers in the sequence: 2, 9, 11, 18, 20, 27, ___, ___, ___

Answers

Answer: 29, 36, 38

Step-by-step explanation:

The sequence starts with 2 and proceeds to go to 9, which is a difference of 7.

After 9 it is 11, and the difference is 2.

After 11 it is 18 which is a difference of 7 again.

The pattern is difference of 7, difference of 2.

Since there was a difference of 7 between 20 and 27, the next difference will be 2, which is 29.

So, the pattern is +2, +7, +2 . . .

Therefore, your next three numbers will be 29, 36, 38

Tan 5 pi / 9- tan 7 pi / 18 / 1+tan 5pi/ 9 tan 7pi/18

Answers

The Mathematical Final Answer:

Find the eigenvalues and eigenvectors

Answers

Answer:

Step-by-step explanation:

6. Use the data below to make a scatter plot in Desmos and find the
exponential regression equation. Round to the nearest hundredth if
necessary. Do not type spaces.
Time (years)

7. Using your equation from #6, find out how much the Fire Dragons
comic book would be worth in 55 years.
Your answer

Answers

Answer:

I hope that the picture below helps.

Step-by-step explanation:

It takes a word processor 30 minutes to word process and spell check 4 pages. Find how long it takes her to word process and spell check 22 pages.

Answers

It will take the word processor 165 minutes to check 22 pages

How to determine the time to check the pages?

The given parameters in the question are:

Speed = 30 minuter per 4 pages

Number of pages = 22 pages

The number of hours to check the pages can be calculated using the following equation

Time = Speed * Number of pages

Substitute the known values in the above equation So, we have the following equation

Time = 30/4 * 22

There is no unit to convert

So, we have

Time = 30/4 * 22

Evaluate

Time = 165

Hence, the time is 165 minutes

Answers

The liters of synthetic oil that are needed is 456 liters.

How to calculate the liters?

From the information, petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil.

To make 836 liters of oil, the liters of synthetic oil will be:

= 6 / (6+5) × 836

= 6/11 × 836

= 456

Therefore, 456 liters are needed.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

which of these statements below are true? Select all that apply

Answers

Answer:

Step-by-step explanation:

the answer is D i'm pretty sure

Deshaun's gas tank is 1/4 full. After he buys 9 gallons of gas, it is 5/8 full. How many gallons can Deshaun's tank hold?

Answers

Answer:

Step-by-step explanation:

so what is the difference from 1/4 to 5/8 ? is the question

2/8=1/4

5/8-2/8 = 3/8

9 gallons of fuel fill 3/8 of the tank

since 3/8 is 9 gallons we can see that 1/8 will be 3 gallons or 9/3=3

then multiply 3 gallons by the 8 parts for the whole tank

3*8=24 gallons.

Than tank can hold 24 gallons

What is the equation in standard form 0f the line y=1/9x+5

Answers

Answer:

The equation in standard form of the line y=1/9x+5 is y-5=1/9(x-0)

Other Questions

A roll of ribbon was 8m long karmila cut 6 pieces pf ribbon each length 2/3 to tie some present then cut the remaining ribbon into some peices each of length 3/4a) how many peices of ribbon each 3/4 m did karmila haveb) what was the length of ribbon left over find the slope of (1,2) and (7,-1) In what region would you find deep rooted plants and vines such as olives and grapes? question 15 options: the alps mountain region the mediterranean coast the british isles the north and baltic sea shores absolute veto is the term for the executive authority to reduce or eliminate funds for individual programs from a budget adopted by a legislative body. rest and motion are relative terms give reasons an advantage of the herfindahl-hirschman index (hhi) over the n-firm concentration ratio as a summary measure of the market structure of an industry is that the hhi is more sensitive to: In the open area near the entrance steps, there were a few swing dancers. Julissa nudged me as we passed them. They were jumping and jiving and tapping joyously to a recording of Take the A Train (which was exactly what we were about to do). Their energy was so contagious that a group of people had stopped to watch and snap along. I found myself tip-tip-tapping as I skipped down the stairs after my sister. What can you conclude about Lakeisha based on this information? A. She appreciates the energy of the swing dancers and feels affected by it. B. She decides to become a swing dancer. C. She does not like the music the swing dancers are using. D.She decides that she should leave the city for somewhere quieter. A 750 kg car is at rest at a red light. If the light turns green and it zooms away with an acceleration of 7. 8 m/s2 how fast will it be traveling in 7 seconds? express your answer in meters per second. if someone cannot remember their first drum lesson, but they can play the drums, they have a problem with ________ memory, but their ________ memory is intact. 6. create a new query in query design view using the properties and stateabbreviations tables. join the properties and stateabbreviations tables using the state field from marcus borrows $3,000 from his local credit union, to be repaid with 3.5% simple interest over 4 years. What are the principal, interest rate, and time in this situation? . The temperance movement was linked to thealcohol.A prohibitionB productionC reductionD requisition The figure below is dilated by a factor of centered at the origin. Plot the resultingimage.Click twice to plot a segment.Click a segment to delete it. Olivia is gathering sugar for a cookie fundraiser for her soccer team. Olivia needs to gather at least 54 1/3 cups of sugar. She has already collected 15 2/3 cups of sugar. If she can collect 3 1/3 cups of sugar per day, how many more days will it take her to collect at least 54 1/3 cups of sugar? what electronic check-out coupon program allows marketers to deliver coupons only to consumers who satisfy the manufacturer's specific targeting requirements? group of answer choices p: -3x + 8x - 5x = x q: (3x)(5y) = 15xy which of the following statements is false? Which variables would the scatter plot at the right be most likely to represent?Question 2 options:The number of people at a concert and the total concession salesThe number of guests at a hotel and the total water consumptionThe number of siblings a person has and the person's GPAThe total number of miles driven and the total gallons of gas used a nurse cares for a client with iron-deficiency anemia. which treatment will the nurse anticipate the client receiving? Did Petey visit the vet for a routine exam or because he was injured? How do you know? Jerome spoke softly to Petey, but it was of no use. He squawked all the way to the vet. Jerome carried Peteys cage inside, and Petey screamed every word he knew at the dogs and cats in the waiting room. The vet put on gloves and checked Petey all over. He then pronounced him fit as a fiddle and said, See ya next year, Pete. What is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?.

Can someone help me with this question please !! I have to know how to solve it to pass my exam I'll give brainly to the right answer .

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Can someone help me with this question please !!
I have to know how to solve it to pass my exam

I'll give brainly to the right answer .