solve correct on paper , if you give wrong ,i will give downvote The height h and semi-vertical angle a of a cone are measured and from themA the total area of the surface of the cone including the base is calculated. If h and a are in errorby small quantities &h and Sa respectively, find the correspondingin the area. Show further that if a = T/6, an error of + 1% inh will be approximately compensated by an error of -0.33 degreeserrorin a. The height h and semi-vertical angle a of a cone are measured and from themA the total area of the surface of the cone including the base is calculated. If h and a are in errorby small quantities &h and Sa respectively, find the correspondingin the area. Show further that if a = T/6, an error of + 1% inh will be approximately compensated by an error of -0.33 degreeserrorin a.

Answered: Image /qna-images/answer/18ceee30-dee5-476e-a726-d4574f0e2c36.jpg

The height h and semi-vertical angle a of a cone are measured and from them A the total area of the surface of the cone including the base is calculated. If h and a are in error by small quantities dh and da respectively, find the corresponding orror in the area. Show further that if a = T/6, an error of + 1% in h wi!ll be approximately compensated by an error of -0.33 degrees in a.

The height h and semi-vertical angle a of a cone are measured and from them A the total area of the surface of the cone including the base is calculated. If h and a are in error by small quantities dh and da respectively, find the corresponding orror in the area. Show further that if a = T/6, an error of + 1% in h wi!ll be approximately compensated by an error of -0.33 degrees in a.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.4: Total Differentials And Approximations

Problem 7E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...

See similar textbooks

Similar questions

Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.
Use the total differential to approximate each quantity. Then use a calculator to approximate the quantity, and give the absolute value of the differences in the two results to 4decimal places. 8.052+5.972
A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and determine the amount of taper in the workpiece for each of the following problems. Express the answers to 2 decimal places.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.