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 stretch the spring and lower the mass 1 m? Round to four decimal places when appropriate.
A. 16.3333 J
B. 424.6667 J
C. 228.6667 J
D. 212.3333 J
Answer: B
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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 81 - x2 and the x-axis, with density ?(x) = 9x2
A. 
= 
, 
= 0
B. 
= 0, 
= 
C. 
= 0, 
= 
D. 
= 0, 
= 
Solve using addition/subtraction:
For the given pair of functions, find the requested function.f(x) = x2 + 6x + 8 and g(x) = x + 2; 
(x)
A. x2 + 4 B. x + 4 C. x - 6 D. x3 - 6
Solve the problem.To save for retirement, Sue decides to deposit $1500 into an IRA at the end of each year for the next 40 years. If the interest rate is 6% per year compounded annually, find the value of the IRA after 40 years. Round to the nearest dollar.
A. $13,929 B. $232,143 C. $217,588 D. $2,329,248