Perform the indicated operation. Simplify if possible.
- 
A. -
B. -
C.
D.
Answer: B
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Find the convergence set for the given power series. Hint: First find a formula for the nth term; then use the Absolute Ratio Test. +
+
+
+ . . .
A. 2 ? x < 4 B. -1 ? x < 1 C. 0 < x < 3 D. All x
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)
Determine whether the three points are collinear.(-5, -11), (4, 7), (9, 17)
A. Yes B. No
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) = x3 - 8x2 + 17x - 30
A. 6, 1 + , 1 -
; f(x) = (x - 6)(x - 1 -
)(x - 1 +
)
B. 6, -1 + 2i, -1 - 2i; f(x) = (x - 6)(x + 1 - 2i)(x + 1 + 2i)
C. -6, 1 + 2i, 1 - 2i; f(x) = (x + 6)(x - 1 - 2i)(x - 1 + 2i)
D. 6, 1 + 2i, 1 - 2i; f(x) = (x - 6)(x - 1 - 2i)(x - 1 + 2i)