Question

A, B, and C wanted to compute the area under the curve f(x)=x−2+2x−6x3+cos(x) over the interval...

A, B, and C wanted to compute the area under the curve f(x)=x−2+2x−6x3+cos(x) over the interval [2,10]. To do this, each one used a different anti-derivative.

B used the antiderivative F(x)=−1x11+x2−2x3+sin(x).
A used the antiderivative F(x)=−x−11+x2−2x3+sin(x)+2020.
C used the antiderivative F(x)=−2x−3+x2−2x3+sin(x).

Who, if anyone, completed this problem correctly?

a) All three are correct

b) Only B

c) Only A and B

d) Only C

e) Only A

f) None of them.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Find the area between the curve f(x)=sin^3(x)cos^2(x) and y=0 from 0 ≤ x ≤ π...
1. Find the area between the curve f(x)=sin^3(x)cos^2(x) and y=0 from 0 ≤ x ≤ π 2. Find the surface area of the function f(x)=x^3/6 + 1/2x from 1≤ x ≤ 2 when rotated about the x-axis.
f(x) = 2x  from  a = 4  to  b = 5 (a) Approximate the area under the curve from a...
f(x) = 2x  from  a = 4  to  b = 5 (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 5 rectangles. Use the method described in Example 1 on page 351, rounding to three decimal places.   square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem.    square units
A. The derivative of f(x)=(5x3+4)(6ln(x)-2x) B. The derivative of c(x)=ln(4x3-x2)
A. The derivative of f(x)=(5x3+4)(6ln(x)-2x) B. The derivative of c(x)=ln(4x3-x2)
An approximation to the integral of a function f(x) over an interval [a, b] can be...
An approximation to the integral of a function f(x) over an interval [a, b] can be found by first approximating f(x) by the straight line that goes through the end points (a, f(a)) and (b, f(b)), and then finding the area under the straight line, which is the area of a trapezoid. In python, write a function trapezint(f, a, b) that returns this approximation to the  integral. The argument f is a Python implementation of the mathematical function f(x). Test your...
F(x)=4x-x^2 x= 0 to 2 two sub intervals Approximate the area under the curve over the...
F(x)=4x-x^2 x= 0 to 2 two sub intervals Approximate the area under the curve over the interval.
Use finite approximations to estimate the area under the graph of the function ​f(x) = 24−x2+2x...
Use finite approximations to estimate the area under the graph of the function ​f(x) = 24−x2+2x between x = −4 and x = 6 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width
f(x) = 1/x   from  a = 1  to  b = 3. (a) Approximate the area under the curve from...
f(x) = 1/x   from  a = 1  to  b = 3. (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 10 rectangles. Use the method described in Example 1 on page 351,rounding to three decimal places. _____________square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem. _____________square units
Use finite approximations to estimate the area under the graph of the function ​f(x) =8−x2+2x between...
Use finite approximations to estimate the area under the graph of the function ​f(x) =8−x2+2x between x = −2 and x = 4 for each of the following cases. a. Using a lower sum with two rectangles of equal width b. Using a lower sum with four rectangles of equal width c. Using an upper sum with two rectangles of equal width d. Using an upper sum with four rectangles of equal width
Let f(x)=10-2x a.) Sketch the region R under the graph of f on the interval [0,5],...
Let f(x)=10-2x a.) Sketch the region R under the graph of f on the interval [0,5], and find its exact area using geometry. b.) Use a Riemann sum with five subintervals of equal length (n=5) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals. c.) Repeat part (b) with ten subintervals of equal length (n=10). d.) Compare the approximations obtained in parts (b) and (c) with the exact area found in...
6.3 2. Let f(x) = x2, and compute the Riemann sum of f over the interval...
6.3 2. Let f(x) = x2, and compute the Riemann sum of f over the interval [8, 10], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.) a. two subintervals of equal length (n = 2) ___________ b. five subintervals of equal length (n = 5) __________ c. ten subintervals of equal length (n = 10) _________ d. Can you guess at the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT