Find the first partial derivatives of the function.
?
?
A. 
?
B. ?
?
C. ?
?
D. ?
?
Answer: B
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The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = 8 sin t - cos tFind the body's acceleration at time t = ?/4 sec.
A. 
m/sec2
B. - 
m/sec2
C. 
m/sec2
D. - 
m/sec2
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 5x2, y = 5
A. 
?
B. 
?
C. 3?
D. 
?
Solve the problem.The price of a certain commodity is a function of supply and demand. The table below shows the price of the commodity per barrel between 2012 and 2017. Find the average annual rate of change between 2015 and 2017.
A. $3.00 per year B. -$12.00 per year C. $12.00 per year D. $24.00 per year
Solve the problem.A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 90 red wires. How many of each cable were made?
A. 10 cable A 30 cable B 20 cable C B. 10 cable A 103 cable B 20 cable C C. 20 cable A 30 cable B 10 cable C D. 10 cable A 30 cable B 93 cable C