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.(2, 5) (5, 7) (8, 4)
A. 2.5
B. 15
C. 7.5
D. 5
Answer: C
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Use a trigonometric substitution to evaluate the integral.
A. tan-1 
+ C
B. sinh-1 
+ C
C. sin-1 
+ C
D. cosh-1 
+ C
Use the trapezoidal rule to find the area.A meadow was measured at 
intervals as shown in the following table. Find the area.
A. 646 yd2 B. 555 yd2 C. 566 yd2 D. 525 yd2
Solve the problem.The population P, in thousands, of a small city is given by:P(t) = 
.where t = the time, in months. Find the growth rate.
A. P'(t) = 
B. P'(t) = 
C. P'(t) = 
D. P'(t) = 
A triangle with vertices at (x1, y1), (x2, y2), and (x3, y3) has area equal to the absolute value of D, where 
. Use this information to solve the problem.Use D to determine whether the three points are collinear. (4, -10), (-2, 8), (6, -11)
A. The points are collinear. B. The points are not collinear.