The lateral surface area S of a right circular cone is related to the base radius r
Question:
The lateral surface area S of a right circular cone is related to the base radius r and height h by the equation S = πr√r2 + h2.
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?
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ANSWER a If h is constant then the derivative of S with respect to time t can be expressed as dSdt d...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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