Question

Consider the Riemann sum , where for , Rn = Σ √xk . delata x ....

Consider the Riemann sum , where for , Rn = Σ √xk . delata x . where x k = 1+ 3k/n for k = 0,1,2,...n and delta x and is the length of each subinterval , as usual. ∆x [xk-1 ,xk ] State the definite integral represented by .limit n approching infinity Rn Then, evaluate this integral usin lim g FTC, part 2.

Homework Answers

Answer #1

if satisfied with the explanation, please rate it up..

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
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...
(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
Use a graphing calculator Riemann Sum (found here) to find the following Riemann sums. f(x) =...
Use a graphing calculator Riemann Sum (found here) to find the following Riemann sums. f(x) = 2/x   from  a = 1  to  b = 5 (a) Calculate the Riemann sum for the function for the following values of n: 10, 100, and 1000. Use left, right, and midpoint rectangles, making a table of the answers, rounded to three decimal places. n Left Midpoint Right 10 100 1000 (b) Find the exact value of the area under the curve by evaluating an appropriate definite...
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.
f(x) = square root x   from  a = 4  to  b = 9 (a) Calculate the Riemann sum for...
f(x) = square root x   from  a = 4  to  b = 9 (a) Calculate the Riemann sum for the function for the following values of n: 10, 100, and 1000. Use left, right, and midpoint rectangles, making a table of the answers, rounded to three decimal places. n Left Midpoint Right 10 100 1000 (b) Find the exact value of the area under the curve by evaluating an appropriate definite integral using the Fundamental Theorem. The values of the Riemann sums from...
Prove that lim n^k*x^n=0 as n approaches +infinity. Where -1<x<1 and k is in N.
Prove that lim n^k*x^n=0 as n approaches +infinity. Where -1<x<1 and k is in N.
Consider the integral of f(x, y, z) = z + 1 over the upper hemisphere σ:...
Consider the integral of f(x, y, z) = z + 1 over the upper hemisphere σ: z = 1 − x2 − y2 (0 ≤ x2 + y2 ≤ 1). (a) Explain why evaluating this surface integral using (8) results in an improper integral. (b) Use (8) to evaluate the integral of f over the surface σr : z = 1 − x2 − y2 (0 ≤ x2 + y2 ≤ r2 < 1). Take the limit of this result...
1)Consider the curve y = x + 1/x − 1 . (a) Find y' . (b)...
1)Consider the curve y = x + 1/x − 1 . (a) Find y' . (b) Use your answer to part (a) to find the points on the curve y = x + 1/x − 1 where the tangent line is parallel to the line y = − 1/2 x + 5 2) (a) Consider lim h→0 tan^2 (π/3 + h) − 3/h This limit represents the derivative, f'(a), of some function f at some number a. State such an...
Consider the series ∑n=1 ∞ an where an=(5n+5)^(9n+1)/ 12^n In this problem you must attempt to...
Consider the series ∑n=1 ∞ an where an=(5n+5)^(9n+1)/ 12^n In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L= lim n→∞ ∣∣∣an+1/an∣∣ Enter the numerical value of the limit L if it converges, INF if the limit for L diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L= Which of the following statements is true? A. The...
Consider a binary search tree where each tree node v has a field v.sum which stores...
Consider a binary search tree where each tree node v has a field v.sum which stores the sum of all the keys in the subtree rooted at v. We wish to add an operation SumLE(K) to this binary search tree which returns the sum of all the keys in the tree whose values are less than or equal to K. (a) Describe an algorithm, SumLE(K), which returns the sum of all the keys in the tree whose values are less...