The total surface area S of a right circular cylinder is related to the base radius r and height h by the equation S 2r 2 2rh a How is dS dt related to dr dt if h is constant b How is dS dt related to dh dt if r is constant c How is dS dt related to dr dt and dh dt if neither r nor h is constant d ...

a If h is constant then the surface area S depends only on the radius r So we can use the formula fo ...

The total surface area S of a right circular cylinder is related to the base radius r

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The total surface area S of a right circular cylinder is related to the base radius r and height h by the equation S = 2πr² + 2πrh.

a. How is dS/dt related to dr/dt if h is constant?

b. How is dS/dt related to dh/dt if r is constant?

c. How is dS/dt related to dr/dt and dh/dt if neither r nor h is constant?

d. How is dr/dt related to dh/dt if S is constant?

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 19, 2023 10:23 AM

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The total surface area S of a right circular cylinder is related to the base radius r

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Thomas Calculus Early Transcendentals

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