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Calculus / University Calculus: Early Transcendentals 2 / Chapter 3. PE / Problem 158PE

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

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QUESTION:

Problem 158PE

Controlling error

a. How accurately should you measure the edge of a cube to be reasonably sure of calculating the cube’s surface area with an error of no more than 2%?

b. Suppose that the edge is measured with the accuracy required in part (a). About how accurately can the cube’s volume be calculated from the edge measurement? To find out, estimate the percentage error in the volume calculation that might result from using the edge measurement.

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QUESTION:

Problem 158PE

Controlling error

a. How accurately should you measure the edge of a cube to be reasonably sure of calculating the cube’s surface area with an error of no more than 2%?

b. Suppose that the edge is measured with the accuracy required in part (a). About how accurately can the cube’s volume be calculated from the edge measurement? To find out, estimate the percentage error in the volume calculation that might result from using the edge measurement.

ANSWER:

Solution:

Step 1 of 6:

a)In this problem, we need to measure the edge of a cube to be reasonably sure of calculating the cube’s surface area with an error of not more than $2\%$ .

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