Factor completely. If the polynomial cannot be factored, say it is prime.(x - 6)2 - 9
A. (x + 3)(x + 9)
B. (x - 3)(x - 9)
C. (x + 3)(x - 15)
D. (x - 9)2
Answer: B
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Find the series' radius of convergence.
A. 4 B. 1 C. 8 D. ?, for all x
Find the Taylor series generated by f at x = a.f(x) = x4 + 4x2 + 2x + 5, a = 4
A. (x - 4)4 + 16(x - 4)3 + 100(x - 4)2 + 290(x - 4) + 333 B. (x - 4)4 + 16(x - 4)3 + 100(x - 4)2 + 286(x - 4) - 195 C. (x - 4)4 - 16(x - 4)3 + 100(x - 4)2 + 290(x - 4) + 333 D. (x - 4)4 - 16(x - 4)3 + 100(x - 4)2 + 286(x - 4) - 195
Suppose a planet is discovered that revolves around its sun in an elliptical orbit with the sun at one focus. Its perihelion distance (minimum distance from the planet to the sun) is approximately  FIGURE 1.png)
km, and its aphelion distance (maximum distance from the planet to the sun) is approximately  Figure 2.png)
km. Approximate the eccentricity of the planet’s orbit. Round to three decimal places.
a. 1.174 b. 12.5 c. 0.08 d. 0.852
Give the domain and range of the relation.
A. domain: (-?, ?); range: (-?, ?) B. domain: (-?, -1]; range: (-?, 3] C. domain: (-?, ?); range: (-?, 3] D. domain: (-?, -1) or (-1, ?); range: (-?, 3) or (3, ?)