CALCULUS W/SAPLING ACCESS >IC<
4th Edition
ISBN: 9781319323394
Author: Rogawski
Publisher: MAC HIGHER
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Question
Chapter 15.6, Problem 33E
To determine
The partial derivative using implicit
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The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be describedby the function T (x, y, z) = x2y + y2z degrees F◦. A fly is in position (1, 2, 1) and takesoff in a straight line to the corner (4, 0, 4). Use directional derivatives to calculate the changein temperature the fly experiences as she takes off. Give your answer with 2 decimal digitscorrect.
Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is
C(x, y) = 40,000 + 80x + 50y.
ac
Calculate and interpret
and
ду
ac
ax
ac
ду
The marginal cost to manufacture bicycles is the partial derivative of C with respect to x, v
which is
|dollars per bicycle ♥
The marginal cost to manufacture tricycles is the partial derivative of C with respect to y, v
which is
| dollars per tricycle ♥
The marginal costs do not
depend on the production level, since the cost function is linear.
Find the gradient of the function at the given point.
Function
Point
f(x, у, 2)
x² + y2 + z2
(4, 2, 9)
Vf(4, 2, 9) =
Find the maximum value of the directional derivative at the given point.
Chapter 15 Solutions
CALCULUS W/SAPLING ACCESS >IC<
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