Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)
A. 
= (y cos xy)(cos yz2); 
= (z2 sin xy)(sin yz2)- (x cos xy)(cos yz2); 
= 2(yz sin xy)(sin yz2)
B. 
= (y cos xy)(cos yz2); 
= (x cos xy)(cos yz2); 
= -2(yz sin xy)(sin yz2)
C. 
= (y cos xy)(cosyz2); 
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); 
= -2(yz sin xy)(sin yz2)
D. 
= (y cos xy)(cos yz2); 
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); 
= 2(yz sin xy)(sin yz2)
Answer: C
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Solve the problem.1010 - 104
A. 1,000,000 B. 1,000,010,000 C. 9,999,990,000 D. 10,000,010,000
Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.x = 5 tan t, y = 4 sec t; 0 ? t ? 2?
A. 
- 
= 1; -? < x < ?
B. 
+ 
= 1; -? < x < ?
C. y = x2 - 9; -3 ? x ? 3
D. y = 4
; -? < x < ?
Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant.
A. Increasing (2, ?); Decreasing (-?, -2) B. Increasing never; Decreasing (-?, -2) ? (2, ?) C. Increasing (-?, -2) ? (2, ?); Decreasing never D. Increasing (-2, 2); Decreasing (-?, -2) ? (2, ?)
Given the matrix, perform elementary row operation to obtain a 1 in the row 1, column 1 position.
?
?
A. RowSwap ([A], 1, 3) B. RowSwap (1/2,[A], 3) C. RowSwap ([A], 2, 3) D. RowSwap (1/2,[A], 1) E. RowSwap ([A], 1, 2)