Find all the first order partial derivatives for the following function.f(x, y, z) = 
A. 
= 
; 
= 
; 
= 
B. 
= - 
; 
= 
; 
= - 
C. 
= 
; 
= - 
; 
= 
D. 
= - 
; 
= - 
; 
= 
Answer: D
Mathematics
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Factor: 6x3y - 12x2y2 + 24xy3
a. 6xy(x2 - 2xy + 4y2) b. 6x2(x2 - 2x + 4y) c. 6xy2(y - x2y2 + xy) d. xy(6x2 - 12xy + 24xy2) e. xy2(6x - 12y + 24x)
Mathematics
Provide an appropriate response.Following is a sequence of black balls and white balls. How many black balls are needed for the 100th term?
A. 201 B. 198 C. 202 D. 200
Mathematics
Perform the indicated operations. Simplify the result.
- 
- 
A. 
B. 
C. 
D. 
Mathematics
Study the examples. The arrows indicate the direction(s) that the given cube has been rotated 90°. Pick the cube illustrating the appropriate rotations.
?
Rotating a cube.
?
?
Rotation: to the left, downward
?
?
A. A B. D C. B D. C
Mathematics