Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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The lateral surface area of a cone of radius r and height h (the surface area excluding the base) is A = Tr Vr +h< . Complete parts (a) and (b).
.....
dr
for a cone with lateral surface area of A = 1625T. What is the best method to use to find
dh
dr
:?
dh
a. Find
A.
Solve the equation A = tr/r + h² for h and take the derivative with respect to r.
B. Use implicit differentiation to find dr / dh. Differentiate both sides of the equation with respect to h, treating r as a differentiable function of h. Then solve for dr / dh.
C. Use implicit differentiation to find dr / dh. Differentiate both sides of the equation with respect to A, treating r as a differentiable function of A. Then solve for dr/ dh.
O D.
Solve the equation A = tr/r +h< for r and take the derivative with respect to h.
dr
Find an expression for
dh
dr
dh
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Transcribed Image Text:The lateral surface area of a cone of radius r and height h (the surface area excluding the base) is A = Tr Vr +h< . Complete parts (a) and (b). ..... dr for a cone with lateral surface area of A = 1625T. What is the best method to use to find dh dr :? dh a. Find A. Solve the equation A = tr/r + h² for h and take the derivative with respect to r. B. Use implicit differentiation to find dr / dh. Differentiate both sides of the equation with respect to h, treating r as a differentiable function of h. Then solve for dr / dh. C. Use implicit differentiation to find dr / dh. Differentiate both sides of the equation with respect to A, treating r as a differentiable function of A. Then solve for dr/ dh. O D. Solve the equation A = tr/r +h< for r and take the derivative with respect to h. dr Find an expression for dh dr dh
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