We seek to maximize the volume of a cylinder, V = πr²h, but its radius and height sum to one, i.e. r + h = 1. Which of the following is the corresponding single-variable volume function in terms of r? V(r) = 1 − r OV - ○V (r) = πr² = πr³ - OV ○V (r) = πr² + πr³ Прв πρ OV (r) = 2πr³
We seek to maximize the volume of a cylinder, V = πr²h, but its radius and height sum to one, i.e. r + h = 1. Which of the following is the corresponding single-variable volume function in terms of r? V(r) = 1 − r OV - ○V (r) = πr² = πr³ - OV ○V (r) = πr² + πr³ Прв πρ OV (r) = 2πr³
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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Transcribed Image Text:We seek to maximize the volume of a cylinder, V = πr²h, but its radius and
height sum to one, i.e. r + h = 1. Which of the following is the corresponding
single-variable volume function in terms of r?
V(r) = 1 − r
OV
-
○V (r) = πr² = πr³
-
OV
○V (r) = πr² + πr³
Прв
πρ
OV (r) = 2πr³
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