Solve the problem.A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 120 square feet. He wants the area planted with tomatoes to be more than 
of the area planted with cucumbers. Write a system of inequalities to describe the situation. Let 
to be planted in tomatoes and 
to be planted in cucumbers.
A. x + y ? 120
x < 0.30y
x ? 0
y ? 0
B. x + y = 120
x ? 0.30y
x ? 0
y ? 0
C. x + y ? 120
x > 30y
x ? 0
y ? 0
D. x + y ? 120
x > 0.30y
x ? 0
y ? 0
Answer: D
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Solve the problem.Find the centroid of the region bounded above by the sphere 
and below by the plane 
if the density is constant.
A. 
= 0, 
= 0, 
= 
B. 
= 0, 
= 0, 
= 
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 12
Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = 4x2 + 9y2; R = {(x, y): 0 ? x ? 1, 0 ? y ? 1}
A. 
B. 
C. 
D. 
Solve the problem.For what values of m does the function y = aemx satisfy the equation y" - y' - 42y = 0?
A. m = 1, 42 B. m = -6, -7 C. m = -6, 7 D. m = 6, 7
Solve the given inequality (a related function is graphed).-x2 + 2x ? -5x + 10 
x-intercepts: (2, 0), (5, 0)
A. (-?, 2] ? [5, ?) B. (2, 5) ? (5, ?) C. [2, 5] D. (-?, -2) ? (5, ?)