Solve the problem.Suppose that the velocity of a falling body is v = ks2 (k a constant) at the instant the body has fallen s meters from its starting point. Find the body's acceleration as a function of s.
A. a = 2ks
B. a = 2ks2
C. a = 2k2s3
D. a = 2ks3
Answer: A
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Factor completely.x2 + 13x + 14
A. (x + 7)(x - 2) B. (x - 7)(x + 2) C. Prime D. (x + 14)(x - 1)
Find the domain and the range of the functions or relations from the graph.
A. domain: [-1, 7]; range: [-8, 0] B. domain: (-?, ?); range: (-?, ?) C. domain: [-8, 0]; range: [-1, 7] D. domain: [0, ?); range: [0, ?)
Find the center, foci, and vertices of the ellipse.16(x - 3)2 + 9(y + 2)2 = 144
A. center at (-3, -2)
foci at (-3, -2 - ), (-3, -2 +
)
vertices at (-3, 2), (-3, -6)
B. center at (4, -2)
foci at (4, -2 - ), (4, -2 +
)
vertices at (4, 2), (4, -6)
C. center at (-2, 3)
foci at (-2, 3 - ), (-2, 3 +
)
vertices at (-2, 2), (-2, -6)
D. center at (3, -2)
foci at (3, -2 - ), (3, -2 +
)
vertices at (3, 2), (3, -6)
For the pair of functions, find the indicated sum, difference, product, or quotient.f(x) = x - 2, g(x) = x - 7Find (f + g)(-3).
A. -11 B. -1 C. -15 D. 3