tion Find A and B given that the function y = A + Ba has a minimum value of 54 at x = 81. a) OA= 486 and B = 6 b) OA= 243 and B = 6 c) OA= 486 and B = 3 d) OA= 243 and B = 9 e) OA= 243 and B = 3

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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**Question 6**

Find \( A \) and \( B \) given that the function 

\[
y = \frac{A}{\sqrt{x}} + B\sqrt{x}
\]

has a minimum value of 54 at \( x = 81 \).

a) \( A = 486 \) and \( B = 6 \)

b) \( A = 243 \) and \( B = 6 \)

c) \( A = 486 \) and \( B = 3 \)

d) \( A = 243 \) and \( B = 9 \)

e) \( A = 243 \) and \( B = 3 \)
Transcribed Image Text:**Question 6** Find \( A \) and \( B \) given that the function \[ y = \frac{A}{\sqrt{x}} + B\sqrt{x} \] has a minimum value of 54 at \( x = 81 \). a) \( A = 486 \) and \( B = 6 \) b) \( A = 243 \) and \( B = 6 \) c) \( A = 486 \) and \( B = 3 \) d) \( A = 243 \) and \( B = 9 \) e) \( A = 243 \) and \( B = 3 \)
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