Question

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.

Homework Answers

Answer #1

The given function is

We have to evaluate the Riemann sum over the interval [0,2] using four subintervals i.e. n = 4.

The subintervals starting at 0 by successively adding 0.5 are

The midpoints of the subintervals are

Hence, the Riemann sum is

Hence,

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
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..
Evaluate the Riemann sum for f(x)=0.4x−1.8sin(2x)f(x)=0.4x-1.8sin(2x) over the interval [0,2][0,2] using four subintervals, taking the sample...
Evaluate the Riemann sum for f(x)=0.4x−1.8sin(2x)f(x)=0.4x-1.8sin(2x) over the interval [0,2][0,2] using four subintervals, taking the sample points to be right endpoints. R4= step by step with answer please
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 .....
(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
If f(x) = 2x2 − 7, 0 ≤ x ≤ 3, find the Riemann sum with...
If f(x) = 2x2 − 7, 0 ≤ x ≤ 3, find the Riemann sum with n = 6, taking the sample points to be midpoints. What does the Riemann sum represent? Illustrate with a diagram.
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...
5. A problem to connect the Riemann sum and the Fundamental Theorem of Calculus: (a) Evaluate...
5. A problem to connect the Riemann sum and the Fundamental Theorem of Calculus: (a) Evaluate the Riemann sum for f(x) = x 3 + 2 for 0 ≤ x ≤ 3 with five subintervals, taking the sample points to be right endpoints. (b) Use the formal definition of a definite integral with right endpoints to calculate the value of the integral. Z 3 0 (x 3 + 2) dx. Note: This is the definition with limn→∞ Xn i=1 f(xi)∆x...
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) = 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.
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...