Homework12: Problem 7 Previous Problem Problem List Next Problem (1 point) The radius of a circular...
Previous Problem List Next (1 point) The tank in the form of a right-circular cone of radius 4 feet and height 29 feet standing on its end, vertex down, is leaking through a circular hole of radius 2 inches. Assume the friction coefficient to be c = 0.6 and g=32ft/. Then the equation governing the height h of the leaking water dh - seconds to If the tank is initially full, it will take it empty.
. The height and radius of a right circular cylinder are approximately 15 centimeters and 8 centimeters, respectively. The maximum error in each measurement is +0.02 centimeters. a. Find the approximate volume of the cylinder. b. Use the total differential to estimate the propagated error in the calculated volume of the cylinder. c. Use the total differential to estimate the relative error in the calculated volume of the cylinder . The height and radius of a right circular cylinder are...
(1 point) An astronaut using a camera measures the radius of the Earth as 3987 mi with an error of 80 mi. Using differentials, estimate the relative and percentage error of using this radius measurement to calculate the volume of the Earth, assuming the planet is a perfect sphere. The approximate relative error is: The approximate percentage error is: % Note: enter an answer accurate to 4 decimal places.
Inhomogeneous and polar probs: Problem 6 Previous Problem Problem List Next Problem (1 point) A circular membrane of radius 3 is clamped along its circumference, and the displacement u(r, t) satisfies the differential equation Suppose that the membrane starts from rest with the initial displacement f(r) = 9-r2,0 < r < 3, then the solution is given by u(r,t)-Σ(An cos(Ant) + Bn sin(Ant) )J。( (anr) where Bn and with and g(r) Given the first 3 zeros of Bessel function Jo(x)...
Assignment3: Problem 15 Previous Problem List Next (1 point) Find the maximum and minimum values of the function f(x,y) = 1x2-14xy+1y2 +9 on the disk x2 +y < 9. Maximum21.5 Minimum= 9 Note: You can earn partial credit on this problem. Assignment3: Problem 15 Previous Problem List Next (1 point) Find the maximum and minimum values of the function f(x,y) = 1x2-14xy+1y2 +9 on the disk x2 +y
Assignment 8: Problem 9 Previous Problem List Next (1 point) Find the surface area of the part of the circular paraboloid =? + y that lies inside the cylinder x? + y = 25. Preview My Answers Submit Answers
Assignment 7: Problem 7 Previous Problem List Next (1 point) Find a particular solution to y" +9y = –30 sin(3t). Assignment 7: Problem 8 Previous Problem List Next (1 point) Find the solution of y" – 6y' + 9y = 324 et with y(0) = 4 and y'(0) = 5. y= Assignment 7: Problem 9 Previous Problem List Next (1 point) Let y be the solution of the initial value problem y" + y = – sin(2x), y(0) = 0,...
Application - Differentials: Problem 4 Previous Problem Problem List Next Problem (1 point) Library/UVA-Stew5e/setUVA-Stew5e-C03 S11-LinApprox/3-11-24.pg Let y = V8 - . Find the differential dy when x = 4 and dr = 0.3 Find the differential dy when r = 4 and dx = 0.03
Module 6: Problem 9 Previous Problem Problem List Next Problem (1 point) In the following questions, use the t-distribution to find a confidence interval for a difference in means #1 - Ma given the relevant sample results. Give the best point estimate for Hi-12, the margin of error, and the confidence interval. Assume the results come from random samples from a populations that are approximately normally distributed. Give your answers to 2 decimal places 1. A 80% interval for Mi...
Summer-B3: Problem 7 Previous Problem Problem List Next Problem (1 point) Estimate f (2.02, 3.01) given that f(2,3) = -3, fx(2, 3) = 1 and fy(2, 3) = -4. f(2.02,3.01) ~ -3