Find all the first order partial derivatives for the following function.f(x, y, z) = xz
A. 
= z
; 
= 
; 
= x
B. 
= z
; 
= 
; 
= x
C. 
= z
; 
= - 
; 
= x
D. 
= z
; 
= - 
; 
= x
Answer: A
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Solve the problem.A vertical right circular cylindrical tank measures 
high and 
in diameter. It is full of oil weighing 
How much work does it take to pump the oil to a level 
above the top of the tank? Give your answer to the nearest ft ? lb.
A. 718,796.399 ft ? lb B. 729,854.805 ft ? lb C. 1,725,111.36 ft ? lb D. 862,555.679 ft ? lb
Consider a function 
. When f is decreasing, what can be said about 
?
?
A. is positive.
B. is negative.
C. is zero.
D. is increasing.
Determine if the test point is a solution to the system of linear inequalities.(1, -3)2x - 2y < 9 x - y > -1
A. Yes B. No
Use mathematical induction to prove the following.0.25n < 0.25n-1
What will be an ideal response?