If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.r(t) = (5 cos t)i + (8 sin t)jFind the acceleration vector.
A. a(t) = (-5 cos t)i + (-8 sin t)j
B. a(t) = (5 cos t)i + (8 sin t)j
C. a(t) = (5 sin t)i + (8 cos t)j
D. a(t) = (-5 sin t)i + (-8 cos t)j
Answer: A
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Solve the problem.The grading scale for a C in Amy's biology class is an average on tests between 70% and 80%, inclusive. Amy has 67%, 84%, and 77% on the first three tests this semester. What range of scores on the fourth test would give her a C?
A. Between 52% and 92%, inclusive B. 87% or better C. Between 70% and 80%, inclusive D. Between 57% and 87%, inclusive
In an adiabatic process (one in which no heat transfer takes place), the pressure P and volume V of an ideal gas such as oxygen satisfy the equation 
where C is a constant. Suppose that at a certain instant of time, the volume of the gas is 2L, the pressure is 100 kPa, and the pressure is decreasing at the rate of 5 kPa/sec. Find the rate at which the volume is changing.
a. 14 L/sec
b. C–14 L/sec
c. C–
d. 
Evaluate the following:
1. 
2. 
3. 
Perform the indicated matrix operations.Let A = 
and B = 
. Find 3A + 4B.
A. 
B. 
C. 
D. 