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Quiz (Linear Approximations)

Show all work and justify each step.

(1) Find the differential linear approximation quiz _gr_1.gif] of the functions

linear approximation quiz _gr_2.gif]


(2) Use differentials to find an approximate value for the given numbers.

linear approximation quiz _gr_3.gif]

(3) Find the linearization linear approximation quiz _gr_4.gif] of the given function at linear approximation quiz _gr_5.gif]

linear approximation quiz _gr_6.gif]

(4) The edge of a cube was found to be 40 cm with a possible error in measurement of linear approximation quiz _gr_7.gif] cm. Use differentials to estimate the maximum possible error in computing (a) the volume of the cube and (b) the surface area of the cube.

(5) Use Newton's method to (a) approximate linear approximation quiz _gr_8.gif] and to (b) find all roots of the equation linear approximation quiz _gr_9.gif]

Cite this as:
Linear Approximation Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/linear-approximation-quiz.html
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