Express the quantity as a signed number.A climb of 112 feet down into a subterranean cave
A. -112 feet
B. 112 feet
Answer: A
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Solve the problem.A 20-kg mass is attached to a spring that hangs vertically and is stretched 3 m from the equilibrium position of the spring. Assume a linear spring with F(x) = kx. How much work is required to compress the spring and lift the mass 1.5 m? Round to four decimal places when appropriate.
A. 24.5 J B. 318.5 J C. 220.5 J D. 514.5 J
Evaluate the integral by making a substitution and then using a table of integrals.
A. 
ln 
+ C
B. 
ln 
+ C
C. 
ln 
+ C
D. 
ln 
+ C
Find the first four nonzero terms of the Maclaurin expansion of the given function.f(x) = cos x3
A. x + 3x + 
+ 
+ ...
B. 1 - x3 + 
- 
+ ...
C. 1 + 3x + 
+ 
+ ...
D. 1 - 
+ 
- 
+ ...
Solve the problem.A force of 1000 lb compresses a spring from its natural length of 16 in. to a length of 13 in. How much work is done in compressing it from 13 in. to 6 in.?
A. 30,000 lb?in. B. 8200 lb?in. C. 15,000 lb?in. D. 0.14 lb?in.