Write a percent for both the shaded and unshaded parts of the figure.
A. 7% shaded; 93% unshaded
B. 7% shaded; 3% unshaded
C. 70% shaded; 30% unshaded
D. 60% shaded; 40% unshaded
Answer: C
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Find the right- or left-hand limit or state that it does not exist.
A. 
B. 
C. 0
D. Does not exist
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)]
The following question refers to a country with five states. There are 240 seats in the legislature, and the populations of the states are given in the table below.
Using a divisor of D = 40,300, the modified quotas (to 3 decimal places) are
A. State A: 10.648; State B: 18.803; State C: 109.451; State D: 96.584; State E: 3.915. B. State A: 10.799; State B: 19.069; State C: 111.002; State D: 97.951; State E: 3.971. C. State A: 10.596; State B: 18.710; State C: 108.908; State D: 96.104; State E: 3.896. D. State A: 10.675; State B: 18.850; State C: 109.725; State D: 96.825; State E: 3.925. E. none of these
The slant height of a cone is 11 ft, and its base has a radius of its base is 25 ft. Find the exact surface area of the cone.
