Solve the given differential equation.(y'' + 25y)(y'' - 2y' - 8y) = 0
A. y = C1e2x + C2e-4x + ex(C3 cos 5x + C4 sin 5x)
B. y = C1e-2x + C2e4x + C3 cos 5x + C4 sin 5x
C. y = C1e-2x + C2e4x + (C3 + C4 x)e5x
D. y = C1e2x + C2e-4x + (C3 + C4 x)e5x
Answer: B
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Find the value or values of c that satisfy the equation 
= f'(c) in the conclusion of the Mean Value Theorem for the function and interval.f(x) = ln (x - 1), [2, 4]
Round to the nearest thousandth.
A. ±2.820 B. 3.885 C. 3.820 D. 2.820
Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation 
), and factor f(x) into linear factors.f(x) = x4 - 6x3 + 11x2 - 12x + 18
A. 3 (multiplicity 2), 
, -
; f(x) = (x - 3)2(x - 
)(x + 
)
B. 3 (multiplicity 2), i
, -i
; f(x) = (x - 3)2(x - i
)(x + i
)
C. -3, 3 , i
, -i
; f(x) = (x - 3)(x + 3)(x - i
)(x + i
)
D. -3 (multiplicity 2), 2i, -2i ; f(x) = (x + 3)2(x - 2i)(x - 2i)
Solve.How much money will Andy have if he invests $4000 for 6 years at a rate of 6.3% annual interest compounded annually?
A. $75,021.48 B. $25,512.00 C. $5512.00 D. $5771.11
A pilot sets out from an airport and heads in the direction N30°W, flying at a constant speed of 305 mi/h. Forty-five minutes later the pilot makes a course and speed correction and now heads in the direction N 50°W and reduces her speed to 175 mi/h. Half an hour later, engine trouble forces her to make an emergency landing. Find the distance between the airport and the final landing point.
(a) 423.8 mi (b) 408.8 mi (c) 309 mi (d) 216.41 mi (e) 312.41 mi