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1. Given f(x, y, z)= x?y - yaz, find f(-1, 2, 3). 2. A storage building is planned which will have a rectangular base and a flat roof. The base will

1.Given f(x,y,z)=(x^2)y-(y^3)z, find f(-1,2,3)


2.A storage building is planned which will have a rectangular base and a flat roof. The base will cost $10 per square foot. Each side will cost $7 per square foot. The roof will cost $8 per square foot. find the equation to express the construction cost of this building as a function of length x, width y, and height z


3.Given f (x,y,z)=ln((x^2)y-(y^3)z). find f/z and ^2f/yz

Hint: Simplify

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1. Given f(x, y, z)= x?y - yaz, find f(-1, 2, 3).
2. A storage building is planned which will have a rectangular base and a flat roof. The base will cost $10
per square foot. Each side will cost $7 per square foot. The roof will cost $8 per square foot. Write an
equation to express the construction cost of this building as a function of length x, width y, and height z.
3. Given f (x, y, z) = In(x?y - y3z ), find of
and
def
by Oz
Hint: Simplify
of by canceling the common
ze
oz
factor before finding the mixed partial derivative.

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