Perform the indicated operation and simplify.
- 
A. 
B. 
C. 
D. 
Answer: A
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Find all the second order partial derivatives of the given function.f(x, y) = cos (xy2)
A. 
= - y2 sin xy2; 
= 2y
; 
= 
= 2
B. 
= - y2 sin xy2; 
= 2[ sin (xy2)- 2y2 cos (xy2)] ; 
= 
= 2y [sin (xy2)-y2 cos (xy2)]
C. 
= -y4 cos xy2; 
= - 2x[2xy2 cos (xy2) + sin(xy2)]; 
= 
=
- 2y[xy2 cos (xy2) + sin(xy2)];
D. 
= y2 sin xy2; 
= 2[2y2 cos (xy2) - sin (xy2)] ; 
= 
= 2y[y2 cos (xy2) - sin (xy2)]
Find the value of the indicated variable for the values given.C = 
(F - 32) ; determine C when F = 104
A. 45 B. 37 C. 40 D. 39
Find the sign of the following.sec (-?), given that ? is in the interval (180°, 270°).
A. negative B. positive
Choose the appropriate sketch and description for the indicated geometric object.Equilateral ?ABC
A. 
, 
, 
have different lengths; ?B = 90°
B. 
, 
are the same length
C. 
, 
, 
have different lengths
D. 
, 
, 
are the same length