If a triangle has vertices of 
and 
then the area of the triangle is given by 
Find the area of the triangle with vertices at the given points.(-4, -4) (1, 1) (3, -2)
A. 8
B. 25
C. 12.5
D. 16
Answer: C
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Use Gauss's Divergence Theorem to calculate 
.F(x, y, z) = cos z2i + exj + 7zk, S is the cube -1 ? x ? 1, -1 ? y ? 1, -1 ? z ? 1.
A. 28 B. 7 C. 56 D. 14
Solve the problem.A rectangular swimming pool has a parabolic drain plate at the bottom of the pool. The drain plate is shaped like the region between y = 
x2 and the line y = 
from x = -1 to x = 1. The pool is 10 ft by 20 ft and 8 ft deep. If the pool is being filled at a rate of 
what is the force on the drain plate after 4 hours of filling? Round your answer to two decimal places if necessary.
A. 153.92 lb B. 486.72 lb C. 166.4 lb D. 76.96 lb
Find x in the figure.
A. 
B. 
C. 17
D. 
Factor the trinomial completely.x5 + 2x4 - 15x3
A. x3(x - 5)(x + 3) B. x3(x + 5)(x - 3) C. (x4 + 5x3)(x - 3) D. (x2 - 5)(x3 + 3)