Use a trigonometric substitution to evaluate the integral.
A. 
tan-1 
+ C
B. 
sin-1 
+ C
C. tan-1 
+ C
D. 
ln 
+ C
Answer: C
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector.r(t) = (4t2 + 16)i + 
j
A. v = (8t)i + 
j
B. v = (8t)i - 
j
C. v = 
i + (8t)j
D. v = (8)i + 
j
Solve the problem.A corporation's bank account has $9681 in it when the treasurer writes checks for $117, $2276, and $659. Then deposits of $5170 and $2498 are made. How much is in the account? Is it overdrawn?
A. -$5065, yes B. $14,956, no C. $5065, no D. $14,297, no
Find the mean, median, and mode for each set of numbers.87, 94, 82, 87, 80, 76, 89
A. Mean = 85, Median = 87, Mode = 87 B. Mean = 87, Median = 85, Mode = 87 C. Mean = 85, Median = 87, Mode = 85 D. Mean = 86, Median = 85, Mode = 87
Find an equation for the circle.Center at (3, -4), diameter of length 7.8
A. (x + 3)2 + (y - 4)2 = 15.21 B. (x + 3)2 - (y + 4)2 = 60.84 C. (x - 3)2 + (y + 4)2 = 15.21 D. (x - 3)2 + (y - 4)2 = 3.9