having trouble with this problem, pls help :/ I know the answer, just not how to get there. (ap calc ab, integrals)

Having Trouble With This Problem, Pls Help :/ I Know The Answer, Just Not How To Get There. (ap Calc

Answers

Answer 1

Answer: D) 101

Step-by-step explanation:

By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out

[tex]\int\limits^{10}_{-1} {(2x+0.5f'(x))} \, dx =\int\limits^{10}_{-1} {2x} \, dx +0.5\int\limits^{10}_{-1} {f'(x)} \, dx =x^2|^{^{10}}_{_{-1}}+0.5f(x)|^{^{10}}_{_{-1}}\\=(100-1)+0.5(f(10)-f(-1))=99+0.5(8-4))=101[/tex]

I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?


Related Questions

what is 4 3/4-1/3 or 19/4 -1/3

Answers

Answer:

4 and 5/12

Step-by-step explanation:

what is 4x-2=3(x-3) ​

Answers

Answer:

x = -7

Step-by-step explanation:

4x - 2 = 3(x - 3)

use the distributive property

4x - 2 = 3x - 9

    +9         +9

4x + 7 = 3x

-4x        -4x

7 = -1x

x = -7

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

About 40% of athletes at a gym use a professional trainer. The proportion of successes is when p = 0.4. You choose a random sample of 50 athletes at the gym.

Answers

Answer: 0.089

Step-by-step explanation:

Math

Select the correct answer.
Choose the number sentence that illustrates the distributive property of multiplication over addition.

6 × (5 + 8) = (6 × 5) + 8

6 × (5 + 8) = (6 + 5) × (6 + 8)

6 × (5 + 8) = (6 × 5) + (6 × 8)

Answers

Answer:

Probably B.

Step-by-step explanation:

Given you select a female, what probability will they prefer playing NBA2K20? Round your answer to the nearest thousandth. __________A. 0.609 B. 0.463 C. 0.185 D.0.398

Answers

Answer:

B

Step-by-step explanation:

just divide 152 by 328 and youll get 0.463

5. The recursive formula NEXT = 3. NOW models the number of goldfish in a pond each year. If there are 36 goldfish in the pond after 3 years, how many goldfish will be in the pond after 6 years? A 324 B. 936 c. 972 D. 2,916​

Answers

Answer:

B

Step-by-step explanation:

Who can help me with this please

Answers

Answer:

I cant see the full question, what is it ?

Step-by-step explanation:

Will give brainliest if the answer is correct

Answers

Answer:

The answer to 5 is 3 and the answer to 6 is -2

Step-by-step explanation:

-8=2x-14

add 14 to each side

6=2x

divide by 2

3=x

----------------------------

11x+13=-9

subtract 13 from both sides

11x=-22

divide each side by 11

x=-2

Answer:

5.x=3

6.x=-2

Step-by-step explanation:

you're welcome

I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8

Answers

The product of 4 and 7 would be 28!
When someone says the product of x means they are looking to multiply!

Answer:

8? I think I'm not quite sure. lmk

A rectangular prism has a volume of 80 m3. What is the length of the rectangular
base if it has a height of 10 m and width of 2 m?

Answers

the length will be 4 m.

Hey there!

The answer is 4 meters, or 4 m.

The formula for volume is lwh, or Length * Width * Height, so we can set up an equation plugging in the values we know:

lwh = V

l(2)(10) = 80

Simplify:

20l = 80

Divide both sides by 20:

l = 4

Have a terrificly amazing day! :)

Are lines JN and KM parallel?

Answers

Answer:yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if you remove the triangle, they will continuously go on both sides with one on the other.

This graph is the parent function of quadratic functions
True or false

Answers

true the graph is the parent function of quadratic functions

Please help cus I don’t know

Answers

Answer:

D) 53°

Step-by-step explanation:

All interior angles of any triangle add up to 180°

? = 180° - 43° - 84°

? = 53°

Answer:

Its B. 53

Step-by-step explanation:

To find the unknown angel you need to add the number you already have AKA 43 and 84 you need to add up to 180 so 43+84+53= 180

to 3 d.p.
9.
The head of the axe shown in figure 14.1 is a wedge of length 18.3 cm and
width 12 cm. It has a cylindrical hole of diameter 4 cm and its greatest
thickness is 6 cm. Find the volume of the metal used in making the axe.
18.3 cm
12 cm
6 cm
Fig. 14.1​

Answers

Answer:

12 cm (I don't understand bro):(

Which expression is equivalent to 6x - 3y?

2 (3x - 2y)

3 (2x - y)

-2 (3x - 2y)

-3 (2x - y)

Answers

3(2x-y)
because if you multiply on both sides it equals 6x-3x
3 (2x - y). This is because you would multiply 2x and y by 3 giving you 6x - 3y

the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age? ​

Answers

Answer:

15 years (180 months)

Step-by-step explanation:

turn it into months first

147

216

163

206

180

168

add them together, then divide by how many there are

1,080/6=180 months

180/12 =15

please help! I need the answer​

Answers

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x+1}{2} + \frac{x}{3} = 3\\\\LCM = 6\\\\So, Multiply \ both \ sides \ by \ 6\\\\ (\frac{x+1}{2} * 6) + (\frac{x}{3} * 6) = 3*6\\\\3(x+1) + (x*2) = 18\\\\ 3x + 3 + 2x = 18\\\\5x + 3 = 18\\\\Subtract \ 3 \ to \ both \ sides\\\\ 5x = 18-3\\\\5x = 15\\\\Divide \ both \ sides \ by \ 5\\\\\boxed{ x = 3}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile 5 5,280 feet) (make it simple)

Answers

Answer:

3 miles

Step-by-step explanation:

1 hour = 3,600 seconds (3,600 ÷ 10 = 360)

360 x 44 = 15,840 Feet

1 mile = 5,280 feet

15,840 feet ÷ 5,280 feet = 3 miles

Kenji walks 3 miles in 1 hour.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Write the equation of b with center b(-2,3) and radius 10.

Answers

Answer:

(x+2)^2+(y-3)^2=100

Step-by-step explanation:

so the equation is (x-h)^2+(y-k)^2=r^2

(h,k)=center

r^2=radius

in this case (h,k)=(-2,3)

r^2=r^2

10^2=100

(x-(-2))^2+(y-3)^2=100

Hope fully that helps :)

Find the slope of the coordinates plane points

Answers

Answer:

-2

Step-by-step explanation:

When they give you 2 points use the formula so y2-y1/x2-x1

So -2-8/1 - -4

-10/1+4 so -10/5 = -2

combine like terms in the expression 10g+14k-3k-8g-10k-2g​

Answers

1k i think cuz the g got cancelled out since 10-8-2 is zero

help plz
The first four terms of a sequence are shown below:
9, 5, 1, −3
Which of the following functions best defines this sequence?
A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B.) f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C.) f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D.) f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1

Answers

Answer:

A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Step-by-step explanation:

The first four terms of a sequence are shown below.

Let

f(1) = 9

f(2) = 5

f(3) = 1

f(4) = -3

Therefore we know that

f(2) - f(1) = 5 - 9

f(2) - f(1) = - 4

f(2) = f(1) - 4

f(3) - f(2) = 1 - 5

f(3) - f(2) = - 4

f(3) = f(2) - 4

f(4) - f(3) = -3 - 1

f(4) - f(3) = - 4

f(4) = f(3) - 4

Hence the answer is A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

A diver jumps off of a diving board and is modeled by the equation d(t)= -16t2 +8t + 30. How long will it take for her to reach the water?

Answers

Answer: (1/4,31)

Step-by-step explanation: Use the formula x = − b/2a a to find the maximum and minimum.

Which expressions are equivalent to 8.9 x + 6.2 + 8.7? Check all that apply.
A.9 x + 6 + 9
B. 8.9 + 6.2 + 8.7 x
C. 8.9 x + 8.7 + 6.2
D. 8.7 + 8.9 x + 6.2
E. 6.2 + 8.7 + 8.9
F.6.2 + 8.7 + 8.9 x
G.8.9 + 6.2 x + 8.7​

Answers

Answer:

option c.

8.9x+8.7+6.2

option f.

6.2+8.7+8.9x

find the missing value no trolling please

Answers

Answer: 2

The equivalent ratios are 1:2 and 5:10

Step-by-step explanation:

A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?

Answers

Answer:

240$$

Step-by-step explanation:

find the area

A=LW

A=8x10

A=80

80x3=240

A store sold 6 fruit trees. Five of the trees were apple trees.


What fraction of the trees were apple trees?

Answers

5/6 of the trees were apple trees

POSSIBLE
Name the relationship: complementary, supplementary, vertical, or adjacent.
1)
2)
b
b
A) supplementary
B) complementary
C) corresponding
D) alternate interior
A) complementary
B) vertical
C) alternate exterior
D) alternate interior
3)
4)
I

Answers

I believe the answer is supplementary


I REALLY NEED HELP PLEASE!!

Answers

Answer:

it's a

Step-by-step explanation:

True or False: To calculate the amount of change, you must find the
difference between the new and original values. *

Answers

initial amount subtract the cost
False would be your answer.
Other Questions
Sara has recently joined a sports club and her parents are noticing some changes in her behavior. Which of these indicates that Sara might be using performance-enhancing drugs? stunted growthincreased aggressionskin infectionshigh blood pressure HELP 40 POINTS!!!! ILL GIVE BRAINLIEST TOO Help me and if the answer is correct and neat I will give you brainliest. Its about line plots. if you were running a business. what would be one fear you would have about working with a partner ? Jane's cell phone plan is $58 each month plus $0.20 per minute for each minute over 200 minutes of call time. Jane's cell phone bill last month was $67.00. Write an equation that can be used to determine the number of minutes over 200 that Jane was billed. How many minutes over 200 was Jane billed last month? Which domain-specific words can be used to replace the bolded phrase?The statue is made up of many different kinds of things. A) Ablend of odds and endsB)A variety of thingsC)Bunches of stuffD) Composite materials write a letter to your friend telling her how you spend your weekend Which of the following is true of an Authoritarian government? HELP URGENT!!!!!!What did Roosevelt, Churchill, and Stalin agree to at the yalta conference. can someone help me with this problem please:Write and solve the inequality for each word problem. Show work. 1. The waiter makes $10 per hour plus $65 in tips. He wants to earn AT LEAST $150. How many hours should he work?2. Matteo was told he could spend AT MOST $80 to spend at the mall. He bought lunch for $25. He wants to buy phone cases for his friends. If the phone cases cost $5. How many phone cases can he buy? What are your pranks for aprils fools day today i need pranks for my sister to scare her What is the chemical name for CO? Penny paid off a loan with a simple interest rate of 11.2% in 6 months. What was the APR?11.2%9.6%22.4%19.2%5.6% Shannon wants to buy some muffins and a greeting card for her friend's party. A local grocery store sells muffins for $2.75 each and greeting cards for $2.00. If Shannon buys 12 muffins and 1 card, how much money does she spend at the grocery store?A. $57.00. $33.00C. $35.00D. $26.75 Please help fast this is due pretty soon and I have to go somewhere any explanation or answer would be great Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. x2 4y2 PLZ HELP WILL GIVE BRAINLEST HELP ASAP Find the center and radius of x2+2x+y2+10y=15 please help i will give 100 points please and really answers Justin wants to know how much gas his mother will save if he rides his bike to school rather than being driven in the car. For one month, Justin rides his bike to school. Every week, he asked his mother how much gas she put in the car. The next month, Justin had his mother drive him to school. Again, every week he asked her how much gas she put in the car. What could Justin do to improve this experiment?