Answer:
[tex]\frac{d}{dx}(-xcos3x)= 3x \ sin(3x)- cos(3x)[/tex]
Step-by-step explanation:
Use the Product Rule for derivatives, which states that:
[tex]\frac{d}{dx} =[f(x)g(x)]= f(x)g'(x)+f'(x)g(x)[/tex]In the function we are given, [tex]f(x)=-x \cos3x[/tex], we can break it up into two factors: -x is being multiplied by cos3x.
Now, we have the factors:
[tex]-x \\ $cos 3x[/tex]Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.
[tex]\frac{d}{dx}(cos3x)= \frac{d}{dx} (cos3x) \times \frac{d}{dx} (3x) \\ \frac{d}{dx}(cos3x)= (-sin3x) \times 3 \\ \frac{d}{dx} (cos3x) = -3sin(3x)[/tex]Now let's apply the product rule to f(x) = -xcos3x.
[tex]\frac{d}{dx}(-xcos3x)= (-x)(-3sin3x) + (-1)(cos3x)[/tex]Simplify this equation.
[tex]\frac{d}{dx}(-xcos3x)= (x)(3sin3x) - (cos3x)[/tex]Multiply x and 3 together and remove the parentheses.
[tex]\frac{d}{dx}(-xcos3x)= 3x \ sin(3x)- cos(3x)[/tex]Therefore, this is the derivative of the function [tex]f(x)=-xcos3x[/tex].
Hi there!
[tex]\large\boxed{f'(x) = -cos3x + 3xsin3x}[/tex]
[tex]f(x) = -xcox3x\\\\\text{Use the product rule and chain rule to solve for the derivative:}\\\\\frac{dy}{dx}= -cos3x + (-x * (-sin3x) * 3)\\\\= -cos3x + 3xsin3x[/tex]
A circular table top has a radius of 3 feet. A decorative trim is placed along
the outside edge of the table. How long is the trim?
6.28 feet
18.84 feet
12.56 feet
25.12 feet
Answer:
6.28
Step-by-step explanation:
I think it might be 6.28
1 hundred + 3 tenths =
Answer:
100 3/10, 1003/10, or 100.3
Step-by-step explanation:
Converting your word to numbers, we have the equation:
x = 100 + 3/10
We could automatically leave it as a mixed number. Or, if you want to get a bit more complicated, you could turn it into an improper fraction or decimal:
1003/10 or 100.3
Answer:100.3
Step-by-step explanation:
1 . What do you need to find ?
2. Write an equation to represent the problem?
3. What is the solution to the problem?
At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 12 dozen oatmeal cookies for $4.50.
Becky bought 8 oatmeal cookies for $6.00.
Part A
Which graph represents the situation?
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 1 point 5 comma 1 point 7 5, 5 comma 6, and 6 comma 7 point 5 0.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 1 comma 1 point 6, 3 comma 5 point 2 5, and 4 comma 7 point 5 0.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 2 comma 1 point 5, 6 comma 4 point 5, and 8 comma 6.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 2 comma 0 point 7 5, 6 comma 2 point 2 5, and 8 comma 3.
Part B
Look at the graph you chose in Part A. Do the number of cookies and the cost have a proportional relationship?
Use the drop-down menus to show and explain your answer.
Choose...
; the graph
Choose...
a straight line through the
Choose...
.
Part C
What does the point (1, 0.75) represent in this situation? What does the point (0, 0) represent?
1 cookie costs $0.75; no cookies cost $0
1 cookie costs $7.50; no cookies cost $0
0.75 dozen cookies cost $1; 0 dozen cookies cost $0
1 dozen cookies cost $0.75; 0 dozen cookies cost $0
Answer:
A=3rd one
B=Yes, Its a straight line through the origin
C=1 cookie costs $0.75
Step-by-step explanation:
The reason why C is $0.75 is because of ratios.
2:$1.5
2 divided by 2=1
2 divided by $1.50=$0.75
$0.75 per cookie
A function is ?????????
Answer:
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Step-by-step explanation:
Please help me with all thank you I’ll mark Brainly please number each answer
For which of the following sample sizes would it not be possible to estimate the mean of a population from the mean and standard deviation of a sample of that population? A. 50 B. 200 C. 100 D. 5
Answer:
i would say a hope this helps!
Step-by-step explanation:
upike 5 1/2 miles from your house to a skatepark you travel one half of that distance in the woods Buck along the bank of a stream for the last half of the woods on how many miles of your trip do you bike along the bank of the stream
Answer:
1
Step-by-step explanation:
hi how u doin
Step-by-step explanation:
Mateo has 7/2 pounds of apples. He needs 3/4 pounds of apples for each batch of applesauce. How many batches of applesauce can make?
Answer:
2 batches-
Step-by-step explanation:
Marcus corrió 5 millas en 45 minutos.
A. Calcula su tasa unitaria en millas por hora. (Redondea a la décima de milla más cercana)
B. Encuentre su tasa unitaria en millas por minuto. (Redondea a la décima de milla más cercana)
Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Serena can make?
Answer:none
j0Step-by-step explanation:
Frank bought 4.3×10^4 yards of carpet to install in the new house. His wife said "We needed 5,000 yards! You didn't buy enough!"
Who is correct, Frank or his wife? Demonstrate with math to show your answer.
Answer:
Frank is correct.
Step-by-step explanation:
To convert 4.3 x [tex]10^{4}[/tex] into regular notation I move the decimal 4 places to the right and get 43,000. This is way more than enough for the 5,000 yards needed for the carpet. So, Frank's wife is wrong about it not being enough.
Answer:
The husband is correct. They needed 5,000, and he brought 43000.
Step-by-step explanation:
4.3*(10^4)=43000
2 Solve the equation for t. Show your work.
5(2t - 3) – 7.5t = 0.5(12 – t)
PLEASEEEE HELP ME
Answer:
t = 7
Step-by-step explanation:
5(2t - 3) – 7.5t = 0.5(12 – t)
5*2t - 3*5 - 7.5t = 12*0.5 - t *0.5
10t - 15 - 7.5t = 6 - 0.5t {Now, combine like terms}
10t - 7.5t - 15 = 6 - 0.5t
2.5t -15 = 6 - 0.5t {Add 15 to both sides}
2.5t = 6 - 0.5t + 15
2.5t = 21 - 0.5t { Add 0.5t to both sides}
2.5t + 0.5t = 21
3t = 21 {Divide both sides by 3}
t = 21/3
t = 7
PLLLLEASSSSEEEEEW HELLLLLLLLPPPPPP
Answer:
21 i think
Step-by-step explanation:
to solve for the sine you have to look at the hypotenuse aka the opposite side.
Sorry I cannot solve for the Sin, I am a child of God, a brother to Jesus. I do not believe in sins, since I have never sinned in my life. I have been enlightened from the gods themselves. They taught me right from wrong and wrong from right. Anybody can be forgiven for their sins, such as now. Your sins are now forgiven by a higher being.
NUMBER 3. (p^1/5)(p^7/12)^-2
Answer:
1
Step-by-step explanation:
Natalie wants to buy 5 feet of ribbon for her scrap book supplies. The store only sells the ribbon in inches. How much ribbon does Natalie need in inches? (number only)
Answer:
60 inches
Step-by-step explanation:
Natalie will need to buy 60 inches of ribbon. This was calculated as 12 x 5 = 60
There are 12 inches in a foot, so I just multiplied that by how many feet she needs.
How much does kaylynn earn per week if she makes $8.75 per hour and works 37.5 hours?
Answer:
$328.12
Step-by-step explanation:
8.75X37.5
Please helpp!!
Harriet is making loaves of bread for her grandmothers bakery. She has 12 1/12 cups of flour. The recipe calls for 5 1/2 cups of flour to make 3 loaves of bread. Which equation can be used to find L, the total number of loaves of bread that Harriet can make?
no c q desir xd slnddlnsod
Last month 184 people attended the monthly town hall meeting. This month 170 people attended the meeting. To the nearest tenth of a percent, what is the percent decrease in attendance from last month to this month?
Answer:
7.60%
Step-by-step explanation:
Answer: 7.60%
Step-by-step explanation: took the k12 test
PLZZZ HELPPPP PLZZZ......
Answer:
45 units squared
Step-by-step explanation:
Basically you know that two parts of the square is equal to a whole, as 50 plus 50 is 100.
So on the left diagonal, it is equal to 3 units squared, since there are 6 parts and each unit diagonal is equal to 1/2 of a square.
On the right side, there are also 3 units squared, since there are 6 parts and blah blah blah.
Even if it looks different, two partial squares will still add up to one whole square. So the diagonals are equal to 6 units.
Then you can add up your full squares that you already know of so there are 9 units on the bottom row and another 9 on top.
Then you add 7 for the third layer and 6 more on the next.
There are 4 on the next layer and 3 and another square.
So 9 + 9 + 7 + 6 + 4+ 3 + 1.
That is 39.
But you may say: BUT WAIT SCOTTY THERE IS ANOTHER 6
me: oh yah i frgot bro thanks m8
So since there is another 6 more units, it is 45 since 39 + 6 is 45.
Hope this helps boi
Use substitution to write an equivalent quadratic equation.
(3x + 2)2 + 7(3x + 2) – 8 = 0
ANSWER IS ✔ u² + 7u - 8 = 0, where u = 3x + 2
Answer:
it's u^2+7u-8=0 where u=3x=2
AKA the second one down
1. A baseball team sells snacks at their games to raise money. At their last game, they
made as much money as they made at their first game.
Did they make more money at their first or last game? Explain how you know.
Answer:
They're the same.?
Step-by-step explanation:
If they made the same amount on their last game as their first they'd be the same.
Answer:
If I am reading it right, they would have made the same amount of money considering it said "At their last game, they made as much money as they made at their first game."
Zoe and Maria plan to hike at a rate of 3 miles per hour and canoe at a rate of 6 miles per hour. They want to travel no more than 8 hours and cover at least 40 miles in one day. Which system of inequalities models the situation?
Answer:
h + c ≤ 8
3h + 6c ≥ 40
where h is the number of hiking hours
c is the number of canoeing hours
Step-by-step explanation:
Here, we want to write a system of inequalities;
Let number of hiking hours be h and the number of canoeing hours be c
h + c ≤ 8
Covering at least 40 miles;
Recall;
distance = speed * time
for 3 miles, h hours, we have 3h miles
for 6 miles , c hours , we have 6c
At least 40 miles, inequality will be ;
3h + 6c ≥ 40
23+3/5r r=-1/2
Please help
is 12/4 and 21/7 proportional?
Answer:
Yes
Step-by-step explanation:
12 ÷ 4 = 3
21 ÷ 7 = 3
3 = 3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
tAnswer:
Step-by-step explanation:2+2= 4
5_5=0
A red die is tossed and then a green die is tossed. What is the probability that red die shows a number larger than three and the green die shows a number less than three?
Answer:
1/6
Step-by-step explanation:
;)
How much would 110 commercial
solve for x and y graphically, 2y= 3x+1 and y=2x+3
Answer:
[tex](-\frac{1}{3},\frac{1}{2} )[/tex] , [tex](-\frac{3}{2} ,3)[/tex]
Step-by-step explanation:
2y = 3x + 1
y = 2x + 3
Graph 2y = 3x + 1.
Divide each term by 2 and simplify.
[tex]y=\frac{3x}{2}+\frac{1}{2}[/tex]
Rewrite in slope-intercept form.
[tex]y=\frac{3}{2}x+\frac{1}{2}[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y = mx + b.
[tex]m=\frac{3}{2}[/tex]
[tex]b=\frac{1}{2}[/tex]
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: [tex]\frac{3}{2}[/tex]
y-intercept: [tex](0,\frac{1}{2} )[/tex]
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Find the x-intercept.
x-intercept(s): [tex](-\frac{3}{2},0 )[/tex]
y-intercept(s): (0, 3)
Create a table of the x and y values.
_x_|_y_
[tex]-\frac{3}{2}[/tex] | [tex]0[/tex]
[tex]0[/tex] | [tex]3[/tex]
Graph the line using the slope and the y-intercept, or the points.
Slope: 2
intercept: (0, 3)
_x_|_y_
[tex]-\frac{3}{2}[/tex] | [tex]0[/tex]
[tex]0[/tex] | [tex]3[/tex]
Graph y = 2x + 3
Use the slope-intercept form to find the slope and y-intercept.
Slope: 2
intercept: (0, 3)
x-intercept(s): [tex](-\frac{3}{2},0)[/tex]
y-intercept(s): (0, 3)
Plot each graph on the same coordinate system.
Each individual letter in TENNESSEE is placed on
a piece of paper in a hat. If one letter is selected at
random from a hat, determine probability that:
15. Letter S is selected
16. A consonant is selected
17. Letter T or N is selected
18. The letter V is not selected
19. The letter W is selected
20. The letter S is not selected
If Jack runs at 6 feet per second for an hour, how many miles does he run in 20 minutes? (Round to the nearest hundredth of a mile.)