Question

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 area of the region under the graph of f on the interval [8, 10]?

_________square units

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f(x) = x2, and compute the Riemann sum of f over the interval [5, 7],...
Let f(x) = x2, and compute the Riemann sum of f over the interval [5, 7], choosing the representative points to be the left endpoints 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 area of the region...
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...
1. Evaluate the Riemann sum for f(x) = 2x − 1, −6 ≤ x ≤ 4,...
1. Evaluate the Riemann sum for f(x) = 2x − 1, −6 ≤ x ≤ 4, with five subintervals, taking the sample points to be right endpoints. 2. sketch a graph 3. Explain. The Riemann sum represents the net area of the rectangles with respect to the .....
Evaluate the Riemann sum for f ( x ) = 0.4 x − 1.7 sin (...
Evaluate the Riemann sum for f ( x ) = 0.4 x − 1.7 sin ( 2 x ) over the interval [ 0 , 2 ] using four subintervals, taking the sample points to be midpoints. M 4 = step by step solution is needed. answer to 6 decimal place.
Consider the region bounded by f(x) = x^3 + x + 3 and y = 0...
Consider the region bounded by f(x) = x^3 + x + 3 and y = 0 over [−1, 2]. a) Find the partition of the given interval into n subintervals of equal length. (Write ∆x, x0, x1, x2, · · · , xk, · · · , xn.) b) Find f(xk), and setup the Riemann sum ∑k=1 f(xk)∆x. c) Simplify the Riemann sum using the Power Sum Formulas. d) Find the area of the region by taking limit as n...
Let f(x) = e^x. Evaluate a right Riemann sum for the interval [−1, 1] for n...
Let f(x) = e^x. Evaluate a right Riemann sum for the interval [−1, 1] for n = 4. You should include a picture of the corresponding rectangles and state if this is an under or over approximation of the area beneath the graph of f, above the x-axis and between x = −1 and x = 1. In your solution, you should write out all terms that go into the Riemann sum.
A) Find an approximation of the area of the region R under the graph of the...
A) Find an approximation of the area of the region R under the graph of the function f on the interval [0, 2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. f(x)=x^2+5 =_____ square units B) Find an approximation of the area of the region R under the graph of the function f on the interval [-1, 2]. Use n = 6 subintervals. Choose the representative points to be the left endpoints...
Evaluate the Riemann sum for f ( x ) = ln ( x ) − 0.9...
Evaluate the Riemann sum for f ( x ) = ln ( x ) − 0.9 over the interval [ 1 , 5 ] using eight subintervals, taking the sample points to be right endpoints. R 8 = step by step and answer please..
(a) Find the Riemann sum for f(x) = 3 sin(x), 0 ≤ x ≤ 3π/2, with...
(a) Find the Riemann sum for f(x) = 3 sin(x), 0 ≤ x ≤ 3π/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.) R6 = (b) Repeat part (a) with midpoints as the sample points. M6 = Express the limit as a definite integral on the given interval. lim n → ∞ n 7xi* + (xi*)2 Δx, [3, 8] i = 1 8 dx 3
Let R denote the region that lies below the graph of y = f(x) over the...
Let R denote the region that lies below the graph of y = f(x) over the interval [a, b] on the x axis. Calculate an underestimate and an overestimate for the area A of R, based on a division of [a, b] into n subintervals all with the same length delta(x) = (b - a)/n. f(x) = 9 - x2 on [0, 3]; n = 5
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT