The lateral surface area of a cone of radius r and height h (the surface area excluding the base) is A = grv? +h?. Complete parts (a) and (b). dr dr for a cone with lateral surface area of A = 1625r. What is the best method to use to find- dh a. Find dh O A. Solve the equation A = gr +h? for h and take the derivative with respect tor. 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. O 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. OD. Solve the equation A = ar +h? for r and take the derivative with respect to h. dr Find an expression for dh dr dh

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
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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