Solve the initial value problem.Differential Equation: 
= (2 sec 2t tan 2t) i + 
j + t2kInitial Condition: r(0) = 7i + 
j - 5k
A. r(t) = (csc 2t + 6)i + 
j + 
k
B. r(t) = (sec 2t + 6)i - 
j + 
k
C. r(t) = (csc 2t + 6)i + 
j + (t3 - 5)k
D. r(t) = (sec 2t + 6)i + 
j + 
k
Answer: D
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Add or subtract as indicated.- 
+ 
A. 
B. 
C. 0
D. 
Use your calculator to approximate the integral using the method indicated, with n = 100. Round your answer to four decimal places.
dx (trapezoidal rule)
A. 7.0862 B. 7.0893 C. 7.0135 D. 7.1008
A hawk flying at an altitude of 121 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation
until it hits the ground, where y is its height above the ground and x is the horizontal distance traveled in
meters.
True or False?
The distance traveled by the prey from the time it is dropped until the time it hits the ground is
approximately 156.532 m.
Your monthly profit p on sales of Avocado Ice Cream are rising at an instantaneous rate of 17% per month. If you currently make a profit of $14,500 per month, solve the differential equation that describes your change in profit to predict your monthly profits. Assume that the current sales are given for time 
.
?
A. 
B. ?
C. ?
D. ?
E. ?