Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.(b3)7/3
A. b7/9
B. b1/3
C. b10/3
D. b7
Answer: D
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Use the method of undetermined coefficients to solve the differential equation.y'' - 5y' + 4y = 5 cos x
A. y = (C1 + C2x)e4x + 
cos x - 
sin x
B. y = C1 cos 4x + C2 sin 4x + 
sin x - 
cos x
C. y = C1e4x + C2ex + 
sin x - 
cos x
D. y = C1e4x + C2ex + 
cos x - 
sin x
Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.
2
A. 
B. 
C. 
D. 
Express as a single logarithm and, if possible, simplify.ln (x2 - 64) - ln (x + 8)
A. ln (x + 8) B. ln (x2 - 8) C. ln (x - 8) D. ln (x - 64)
Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 50 N. How much work is done in compressing the spring 2.5 m from its equilibrium position?
A. 625 J B. 125 J C. 312.5 J D. 62.5 J