Provide an appropriate response.Solve for x: log3 81 = x
A. x = 3
B. x= 4
C. x = 27
D. x = -4
Answer: B
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Find the most general antiderivative.
dt
A. 18t3 + 
t2 + C
B. 2t3 + 
+ C
C. 12t + 
+ C
D. 2t3 + t + C
Provide an appropriate response.Use the substitution 
to solve the equation 2(y + 3)2 - 5(y + 3) + 3 = 0.
A. 
B. 
C. 
D. 
Solve the problem.Suppose the price p of bolts is related to the quantity q that is demanded by: p = 590 - 5q2where q is measured in hundreds of bolts. Find the price when the number of bolts demanded is 400.
A. $525 B. $530 C. $510 D. $520
Solve the problem.Rachel's bus leaves at 4:10 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 6 meters per second, arrives at the bus station 3 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time, and simulate the motion of the bus and Rachel by simultaneously graphing these equations.
A. Bus: x1 = t2, y1 = 2;
Rachel: x2 = 6(t + 3), y2 = 4
B. Bus: x1 = t2, y1 = 2;
Rachel: x2 = 6(t - 3), y2 = 4
C. Bus: x1 = 3t2, y1 = 2;
Rachel: x2 = 6(t - 3), y2 = 4
D. Bus: x1 = 3t2, y1 = 2;
Rachel: x2 = (t - 3), y2 = 4
