The number of cars produced when x dollars is spent on labor and y dollars is spent on capital invested by a manufacturer can be modeled by the equation 45xy3 = 540. dy a. Find a formula in terms of x and y for dæ dy dx dy at the point (27,8). dx b. Find the value of of Round to 4 decimal places.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CR: Review Problem Set
Problem 60CR
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The number of cars produced when x dollars is spent on labor and y dollars is spent on capital invested by a
1
2
manufacturer can be modeled by the equation 45x 3 y 3
.
540.
dy
a. Find a formula in terms of x and y for
dx
dy
dx
dy
at the point (27,8).
dx
b. Find the value of of
Round to 4 decimal places.
Transcribed Image Text:The number of cars produced when x dollars is spent on labor and y dollars is spent on capital invested by a 1 2 manufacturer can be modeled by the equation 45x 3 y 3 . 540. dy a. Find a formula in terms of x and y for dx dy dx dy at the point (27,8). dx b. Find the value of of Round to 4 decimal places.
If va + Vỹ = 6 and y(1) = 25, find y' (1) by implicit differentiation.
Transcribed Image Text:If va + Vỹ = 6 and y(1) = 25, find y' (1) by implicit differentiation.
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