Find the most general antiderivative.
dt
A. 3t3 + + C
B. 3t3 + t + C
C. 18t + + C
D. 27t3 + t2 + C
Answer: A
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Find all the first order partial derivatives for the following function.f(x, y) = (5x3y5 - 8)2
A. = 2(5x3y5 - 8);
= 2(5x3y5 - 8)
B. = 30x2y5(5x3y5 - 8);
= 50x3y4(5x3y5 - 8)
C. = 15x2y5;
= 25x3y4
D. = 50x3y4(5x3y5 - 8);
= 30x2y5(5x3y5 - 8)
Evaluate the improper integral or state that it is divergent.
A. 1 B. Divergent C. 0 D. -1
Use the simple interest formula to determine the missing value. Round dollar amounts to the nearest cent and percents to the nearest hundredth when necessaryp = $4163, r = ?, t = 213 days, i = $123.16
A. r = 20% B. r = 5% C. r = 9.4% D. r = 0.05%
Solve the problem.The velocity v = ds/dt and initial position of a body moving along a coordinate line are given below. Find the body's position at time t. v = , t > -6, s(-5) = 2
A. s = -
B. s = ln + 1
C. s = - + 3
D. s = ln + 2