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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a If h is constant then the surface area S depends only on the radius r So we can use the formula fo...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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