Find the vertex of the graph of the function.f(x) = (x - 8)2 - 1
A. (0, 8)
B. (-1, 8)
C. (8, -1)
D. (-1, 0)
Answer: C
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Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5
A. 
= 2yex2(1 + 2x2); 
= 2x; 
= 
= 2y + 2xex2
B. 
= 2yex2; 
= 2x; 
= 
= 2y + 2xex2
C. 
= yex2(1 + 2x2); 
= x; 
= 
= y + xex2
D. 
= 2yex2; 
= 2x; 
= 
= 2xex2
Simplify.5 ? (3 + 2)2 - 2 ? (6 - 3)2
A. 271 B. 589 C. 107 D. 1107
Solve the problem.A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 90 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 ? 90 x < 0.30y x ? 0 y ? 0 B. x + y ? 90 x > 0.30y x ? 0 y ? 0 C. x + y = 90 x ? 0.30y x ? 0 y ? 0 D. x + y ? 90 x > 30y x ? 0 y ? 0
Find the axis of symmetry of the parabola defined by the given quadratic function.f(x) = 2x2 + 4x - 7
A. x = -2 B. x = 1 C. x = -1 D. x = -9