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HW10: Problem 3 Previous Problem Problem List Next Problem (1 point) | J-2 18x2 da a)...
Problem 10. (1 point) 5." -4 sin x dx a) Approximate the definite integral with the Trapezoid Rule and n = 4. b) Approximate the definite integral with Simpson's Rule and n = 4. c) Find the exact value of the integral.
3 11 Use Simpson's rule with n=1 (so there are 2n = 2 subintervals) to approximate dx. 1 + x2 The approximate value of the integral from Simpson's rule is (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.) 5 Use Simpson's rule with n=4 (so there are 2n = 8 subintervals) to approximate OX dx and use the fundamental theorem of calculus to find the exact value of...
HW10 13.1-13.4: Problem 2 Previous Problem Problem List Next Problem (1 point) Let F = (Syz) i + (5xz)j + (6xy) k. Compute the following: A. div F = B. curi F = C. div curl F = Note: Your answers should be expressions of x, y and/or z; e.g. "3xy" or "z" or "5"
Sec6.5: Problem 6 Previous Problem List Next (2 points) Book Problem 17 4, to approximate the integral 7e dx (a) Use the Midpoint Rule, with n MA (Round your answers to six decimal places.) (b) Compute the value of the definite integral in part (a) using your calculator, such as MATH 9 on the TI83/84 or 2ND 7 on the TI-89. 7edx (c) The error involved in the approximation of part (a) is Ем — Те ах Ма (d) The...
4. -1 POINIS Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n Round your answer to four decimal places and compare the results with the exact value of the definite integral dx, 4 Trapezoidal Simpson's exact Need Help? Read Talkie Tur
Objective The usual procedure for evaluating a definite integral is to find the antiderivative of the integrand and apply the Fundamental Theorem of Calculus. However, if an antiderivative of the integrand cannot be found, then we must settle for a numerical approximation of the integral. The objective of this project is to illustrate the Trapezoidal Rule and Simpson's Rule. Description To get started, read the section 8.6 in the text. In this project we will illustrate and compare Riemann sum,...
Sets FTC Part I: Problem 9 em 9 Previous Problem Problem List Next Problem ngs Results for this submission ents ards Entered Answer Preview oblems 2.6856 2.6856 The answer above is NOT correct. (1 point) Evaluate the definite integral 3 da 5 2.68560 Type here to search e a
Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact value of the definite integral. foxt dx, n = 4 (x + 2)2 Trapezoidal Simpson's exact The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = 2 - t - 132, 1sts 13 (a) Find the...
Section 8.7: Problem 3 Previous Problem Problem List Next Problem (1 point) For each of the following improper integrals, carefully use comparison to decide whether the integral converges or diverges. Be sure that you are able to write down a comparison function and explain why your answer is correct. 1. Sa dt This integral A. converges B. diverges 2.2 dt (t + 2)2 This integral A. converges B. diverges do 3. 703 + 2 This integral A. converges B. diverges...
Homework 5: Problem 4 Previous Problem Problem List Next Problem (1 point) Use the Integral Test to determine whether the infinite series is convergent. 16ne-n2 n=6 Fill in the corresponding integrand and the value of the improper integral. Enter inf for o, -inf for -00, and DNE if the limit does not exist. Compare with some dx = By the Integral Test, the infinite series 16ne-n? n=6 A. converges B. diverges