Find area of the region under the curve y=9−3x^2 and above the x-axis.

Find Area Of The Region Under The Curve Y=93x^2 And Above The X-axis.

Answers

Answer 1

Answer:

A = 12√3

Step-by-step explanation:

first find the limits by finding the zeros

0 = 9 − 3x²

3x² = 9

x² = 3

x = ±[tex]\sqrt{3}[/tex]

[tex]A = \int\limits^a_b ({9 - 3x^2\\}) - 0\, dx[/tex]

where b = [tex]-\sqrt{3}[/tex] and a = [tex]\sqrt{3\\}[/tex]

A = 9x - x³ [tex]\left \{ {{\sqrt{3} } \atop {-\sqrt{3} }} \right.[/tex]

[tex]A = 9\sqrt{3} - \sqrt{3} ^3 - (9(-\sqrt{3)} - (-\sqrt{3} )^3)[/tex]

[tex]A = 9\sqrt{3} -3\sqrt{3} +9\sqrt{3} - 3\sqrt{3}[/tex]

[tex]A = 12\sqrt{3}[/tex]

Find Area Of The Region Under The Curve Y=93x^2 And Above The X-axis.

Related Questions

A student concludes that the solution to the equation ( 2×+1+3=0 is×=4

Answers

Answer:

x = -2

Step-by-step explanation:

2x + 1 + 3 = 0

2x + 4 = 0

x = -2

What is another way to write 54?


5×5×5×5

4+4+4+4+4

4×4×4×4×4

5+5+5+5
IT CANT BE NONE OF THE ABOVE

Answers

Answer: 5^2.48 is honestly as close as you can get.

I’m assuming you mean 5^4

So 5x5x5x5

Hope this helps

3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks​

Answers

Step-by-step explanation:

2wks = 24 days

If he spent 60days going 127.8 miles

He will spend 14 days going X miles

60/14 =127.8/X cross multiply

60X= 14×127.8

X=( 14×127.8)÷60

X= 29.82 miles

Help me please I would really apparated it thanks.

Answers

14 minutes at 100 degrees

Through what angle does the minute hand of a clock turn in 45 minutes?

Answers

Answer:

2700

Step-by-step explanation:

A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.

so

45 * 6 =

2700

Given that

P

=

x

+

y

.

Find

P

when:

x

=

3

and

y

=



11

Answers

Answer:

-8

Step-by-step explanation:

3-11=-8

Answer:

8

Step-by-step explanation:

PLLLZZZ NO ONE WILL HELP ME!!!
Given this equation in slope-intercept form…
y = 2x + 5
Identify or solve for the following:
Slope
y-intercept
x-intercept
Independent variable
Dependent variable
Domain
Range
We would like to represent a line passing through the point (5,0) with a slope of 2. Please write the equation for this line in slope-intercept form and in point-slope form.

What is the rate of change of the function above?

Answers

Answer:

y = m x + b    standard form of straight line

y = 2 x + 5

The slope is m and = 2

the y intercept is 5  because when x = o y = 5

if y = 0 then x = -2/5 and would be the x intercept

x is the independent variable and y is the dependent variable

I am not familiar with your definitions for domain and range but

both x and y can vary from -∝ to = ∝

Luis wants to but a skateboard that usually sell for $79.64. All merchandise is discounted by 12%

Answers

Answer:

$79.64

Step-by-step explanation:

I think it's still 79.64

Answer:

it will be equal 70.08 $

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

Answers

The correct comparison as shown in the figures are:

QR < QSAB >  CDm<FJG > m<HJGm<QSP > m<QSR

From the given diagram, we are to fill in the blank spaces with a < or > symbol.

21) The measure of the angles is a function of the measure of the sides.

Since the angle facing the side QR is less than that of QS, hence QR < QS

22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB >  CD

23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG

24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR

Learn more on angles here: https://brainly.com/question/16281260

f(x)=5x+4, g(x) square root of x find the domain of gof

Answers

(gof)(x)=sqrt(5x+4)
If you do not include the imaginary plane, the square root can only take in values bigger than or equal to zero. So we just need to fix when 5x+4=0. That is when x=-4/5. So, the domain is [-4/5,inf)

Adelle starts a savings account with $250. If the interest rate is 3%, find the total amount in the account after 2 years.

Answers

Answer:

265

Step-by-step explanation:

The table shows a linear relationship between x and y.​ how can you tell that x and y are NOT porportianal

Answers

If y/x does not always equal the same

#10) Mrs. Sommer states that angle I is 65 degrees. Is she correct? why or why not​

Answers

Answer: Mrs. Somner is correct.

Step-by-step explanation: In a triangle, the angles add up to 180 degrees. Since we know that Triangle ABC is equal to Triangle RST, we can assume that their angle values are equal as well. Angle A is 41 degrees, and Angle B is 74 degrees. This adds up to 115 degrees. If we subtract 115 from 180, we get 65. Therefore, Mrs. Somner is correct.

Justin is making cookies, using a recipe in which the ratio
of flour to chocolate chips to sugar is 4: 2: 1 for each
batch.
a. If he is using 8 cups of flour how many cups of sugar
does he need?
b. To make 3 batches of cookies, what is the ratio of flour
to chocolate chips to sugar?

Answers

Answer:

Part A - he will need 2 cups of sugar  

Part B - 12 : 6 : 3

Step-by-step explanation:

Part A :

8 divided by 4 is 2

Part B :

Multiply all the numbers by 3

Hope this helped! :)

To check out a customer, a grocery store cashier needs 2 seconds to scan each item being purchased, as well as 30 seconds to process payment. If it takes 44 seconds to ring up a particular customer, how many items is the customer purchasing?

Answers

Answer:

7

Step-by-step explanation:

Let's say the customer has x items. For each item, we add 2 seconds. For 3 items, we need 2 + 2 + 2 = 2*3 seconds. For x items, we need 2 * x seconds. Then, we add the processing payment time of 30 seconds, so for x items, the total amount of time = 30 + 2 * x

Here, the total amount of time is 44, so we have

44 = 30 + 2x

subtract 30 from both sides to isolate the variable and its coefficient

14 = 2x

divide both sides by 2 to isolate x

x = 7

What is Jada‘s vertical jump

Answers

It's probably 52 or 40.

Hello can anyone help me with these problems please and ty

Answers

12. x= 4

13. x= 4

14. x= -1

Check the steps in the picture above

Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get

Answers

Answer:

67 quarters

Explanation:

50 POINTS
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box.

Answers

Taking 2x from both sides gives
3y = -2x + 6

Dividing through by 3 gives us

y = -2x/3 + 2

The price of gas on Wednesday was $2.03/gallon. On Friday, the price of gas was $2.26. What is the percent change in the price of gas?

Answers

Answer:

Percent change in the price of gas is [tex]9.85\%[/tex]

Step-by-step explanation:

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by [tex]100[/tex] .

[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]

Here

[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]

[tex]V_{1}=2.03\$/gallon[/tex]

The percent change in the price of gas

[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]

Percent change in the price of gas is [tex]9.85\%[/tex]

Michael drove 638 miles in 11 hours.

At the same rate, how many miles would he drive in 8 hours?

Answers

she will drive 754 miles in 13 hrs.

After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?

Answers

Answer:

24

Step-by-step explanation:

Let total number of the chocolates be x.

25% of x = 6 (because 100 - 75 = 25% of chocolates left).

25/100 x x = 6

x = 600/25

x = 24

Hence, 24 is the total amount of chocolates.

Hope it helps :)

Isaac bought 7 chicken wings for $12.60. How much does each wing cost?

Answers

Answer:

Each chicken wing costs $1.80.

Explanation:

To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7

this gives us:

1.80

2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest form





Thanks for the help!!!!

Answers

Answer:

1  7/10

Step-by-step explanation:

= 17/6 ÷ 5/3

= 17 x 3

= 6 x 5

= 51/30

= 1 7/10

Solve 3-x/2<18.
A. X>-42
B. x > -30
C. X< -30
D. X<42

Answers

The solution of the given equation will be C -x< 30

What does it mean to solve an equation?

An equation represents the equality of two or more mathematical expressions.

A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.

We have been given the equation as 3-x/2<18.

Now solving for x

3-x/2<18.

Eliminate 3

-x/2 < 18 - 3

-x/2 < 15

Multiply by 2 on both sides;

-x/2 < 15 (2)

-x< 30

Therefore, the solution of the given equation will be C -x< 30

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ1

Please help me understand

Answers

Step-by-step explanation:

A=2(wl+hl+hw)=2x(14x7+7x7+7x14)=490

Option B is the correct answer

write 321.51 to the nearest whole​

Answers

Answer:

322.

Hope that helped. x

Step-by-step explanation:

We have 321.51,

So what we need to do is check the number straight after the decimal point and see if it is less than 5 or 5 and above. (5 and above mean increasing the number, less than 5 means decreasing the number.)

Since the number is 5 we change the 1 to a 2. So the answer is 322.

The nearest whole is 322 because it the closes I know

Determine the probability of the event.
A survey found that about 90% of the junior class is right handed. If 2 juniors are chosen at random out of
100 juniors, what is the probability that at least one of them is not right handed?
Give an exact answer as a decimal.

Answers

Answer:

The probability is 1/100

Step-by-step explanation:

This is because there are only ten left-handed juniors (on average). Therefore there isn't a great chance that you would end up with one.

A B C or D? please help​

Answers

Answer:

(x-1) and (x-5)

Step-by-step explanation:

option a .......

Choose the symbol that correctly compares the fractions below.

Answers

Answer:

[tex] \frac{2}{5} > \frac{1}{6} [/tex]

Answer: B. >

#CarryOnLearning

Other Questions
Do you think origami is an important part of Japanese culture? why? can someone please answer this question x+1=2xhope someone can help thanks! how does carbon move through the system when there is light In 2000, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 65% per year after 2000. How many cell phone subscribers were in Centerville in 2020? ?/5 =8/10 type the missing number that makes this fraction equal Helppppppppppppppppppppp what was Ewing young role in setting up a provisional goverment in oregon country What describes a scientific theory What is the net force on a car with a mass of 1000 kg if itsacceleration is 35 m/s^2? Fill in the blank. We should take the side of the __________ and the victims when they are illegally compelled to suffer. Express your answer in scientific notation. PLS HELP 60W of power is taken by a small electrical heater from a 12V supply Determine the current flowing through the heater help help help help help help help help What type of evidence does Machiavelli use to support his claim that a prince should have no aim other than war and its rules and discipline? logical evidence anecdotal evidence empirical evidence both logical and anecdotal evidence. How would this impact the organism? really need help with this Miss Watson runs a distance of 200 meters in 25 seconds.Work out the average speed of Miss Watson in meters per second? Someone please help me with this its an emergency Describe how you felt when you found out how many ways you were being tracked. (full paragraph response) A billiard ball with a speed of 5 m/s strikes another stationary billiard ball in a perfectly elastic collision. After the collision, the first ball has a speed of 4.35 m/s and is traveling at an angle of 30 below its original line of motion. Find the speed and angle of the second ball, with respect to the initial line of motion, after the collision.