Question

Consider the function f(x)=4x2-x3 provide the graph the region bounded by f(x) and the x-axis over...

Consider the function f(x)=4x2-x3 provide the graph the region bounded by f(x) and the x-axis over the interval [0,4], then estimate the area of this region using left reman sum with n=4, 10 and 20 subintervals. you may use the graphing calculator to facilitate the calculation of the Riemann sum. use four decimal places in all your calculations and answers.

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
For the function f(x) = x, estimate the area of the region between the graph and...
For the function f(x) = x, estimate the area of the region between the graph and the horizontal axis over the interval 0≤x≤4 using a . a. Riemann Left Sum with eight left rectangles. b. Riemann Right Sum with eight right rectangles. c. A good estimate of the area.
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 R be the region bounded above by f(x) = 3 times the (sqr root of...
Let R be the region bounded above by f(x) = 3 times the (sqr root of x) and the x-axis between x = 4 and x = 16. Approximate the area of R using a midpoint Riemann sum with n = 6 subintervals. Sketch a graph of R and illustrate how you are approximating it’ area with rectangles. Round your answer to three decimal places.
1. Find the area of the region bounded by the graph of the function f(x) =...
1. Find the area of the region bounded by the graph of the function f(x) = x4 − 2x2 + 8, the x-axis, and the lines x = a and x = b, where a < b and a and b are the x-coordinates of the relative maximum point and a relative minimum point of f, respectively. 2.Evaluate the definite integral. 26 2 2x + 1 dx 0 3. Find the area of the region under the graph of f...
Find the area of the region bounded by the graph of f(x) = 4x^3 + 4x...
Find the area of the region bounded by the graph of f(x) = 4x^3 + 4x + 9 and the x axis between x=0 and x=2 using Riemann sums.
Find the upper and lower sums for the region bounded by the graph of the function...
Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on the given interval. Leave your answer in terms of n, the number of subintervals. Function     Interval f(x) = 9 − 2x     [1, 2] lower sums(n)= upper sumS(n)=
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...
Estimate the area of the region bounded between the curve f(x) = 1 x+1 and the...
Estimate the area of the region bounded between the curve f(x) = 1 x+1 and the horizontal axis over the interval [1, 5] using a right Riemann sum. Use n = 4 rectangles first, then repeat using n = 8 rectangles. The exact area under the curve over [1, 5] is ln(3) ≈ 1.0986. Which of your estimates is closer to the true value?
f (x) = x3 - x2 + x Finding the area of the region bounded by...
f (x) = x3 - x2 + x Finding the area of the region bounded by inverse function with the help of integral
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT