Change the Cartesian integral to an equivalent polar integral, and then evaluate.
A. 
B. 
C. 
D. 
Answer: A
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Solve the problem.A spring with a spring constant k of 8 pounds per foot is loaded with a 16-pound weight and allowed to reach equilibrium. It is then displaced 4 feet downward and released. If the weight experiences a retarding force in pounds equal to 0.15 times the velocity, find the equation of motion.
A. y ? e-0.15t(4 cos 4t + 0.15 sin 4t) B. y ? e-0.075t(4 cos 4t + 1.2 sin 4t) C. y ? 4 sin 4t + 1.2 cos 4t D. y ? e-0.15t(4 sin 4t + 0.15 cos 4t)
Use the rules for exponents to rewrite the expression and then evaluate the new expression. (-2)4(-2)2
A. -256
B. 
C. 64
D. - 
Provide an appropriate response.Explain the mistake in the following problem:4 - (10 - 3)2= 4 - (10 - 9)= 4 - 1= 3
A. -3 squared should be 9, not -9. B. The expression within the parentheses should have been evaluated first. C. There is an addition error. D. The exponent should be distributed through the numbers in the parentheses.
Find the principal square root of the number. Approximate the answer to the nearest hundredth whenever appropriate.(xy)2, xy < 0
A. 2xy B. -xy, xy C. xy D. -xy