Solve the problem. Assume all numbers are approximate unless otherwise stated or the number has been determined by a definition or counting process.The expression  will tell you how high, in meters, you must raise the hammer of a pile driver when you know the mass (m) of the hammer in kg, and what potential energy (PE) in Joules is required. Find the height to which a 59-kg hammer must be raised to have 1780 J of potential energy.

A. 3.079 m
B. 3.08 m
C. 3 m
D. 3.1 m


Answer: D

Mathematics

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Solve the given differential equation.9 + 4y = 0

A. y = c1 sin x + c2x cos x
B. y = ex
C. y = c1 sin x + c2 cos x
D. y = (c1 + c2x)e2x/3 

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Plot the point.(0, 5)

A.

B.

C.

D.

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Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.ln e

A. e
B. 36
C.
D. 6

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Find the indicated term of the sequence.If the second term of a geometric progression is  and the third term is - , find a1 and r.

A. a1= - ; r = - 
B. a1= -2; r = - 
C. a1= - ; r = -5
D. a1; r = -5

Mathematics