Find all the local maxima, local minima, and saddle points of the function.
A. f
= 20, saddle point; f
= 20, saddle point
B. f
= - 60, local maximum
C. f
= 20, saddle point
D. f
= 20, local minimum; f
= 20, local minimum
Answer: C
Mathematics
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Find the Cartesian coordinates of the given point.
A. 
B. 
C. 
D. 
Mathematics
Find all the second order partial derivatives of the given function.f(x, y) = cos (xy2)
A. 
= y2 sin xy2; 
= 2[2y2 cos (xy2) - sin (xy2)] ; 
= 
= 2y[y2 cos (xy2) - sin (xy2)]
B. 
= -y4 cos xy2; 
= - 2x[2xy2 cos (xy2) + sin(xy2)]; 
= 
=
- 2y[xy2 cos (xy2) + sin(xy2)];
C. 
= - y2 sin xy2; 
= 2y
; 
= 
= 2
D. 
= - y2 sin xy2; 
= 2[ sin (xy2)- 2y2 cos (xy2)] ; 
= 
= 2y [sin (xy2)-y2 cos (xy2)]
Mathematics
Simplify.
A. 
B. 
C. 
D. 
Mathematics
Solve the equation.(x - 1)4 - 5(x - 1)2 + 4 = 0
A. {1, 4} B. {-1, -4} C. {-1, 0, 2, 3} D. {-2, -1, 1, 2}
Mathematics