Determine the vertex, focus, and directrix of the parabola and sketch its graph.y2 = 12x
A. vertex: (0, 0)
focus: (3, 0)
directrix: x = -3
B. vertex: (0, 0)
focus: (-3, 0)
directrix: x = 3
C. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3
D. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3
Answer: A
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Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = ln(1 + 2x)
A. 2x - 4x2 + 8x3 - . . .
B. 2x - 2x2 + x3 - . . .
C. 2x - 2x2 + x3 - . . .
D. 2x + 2x2 + x3 - . . .
Express the number in scientific notation.0.000315
A. 3.15 × 10-3 B. 3.15 × 104 C. 3.15 × 10-4 D. 3.15 × 10-5
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A. 2(4) B. 4 + (-4) C. (4)(4) D. (-2)(4)
For the pair of functions, find the indicated domain.f(x) = 2x - 5, g(x) = Find the domain of f ? g.
A. [9, ?) B. [0, ?) C. [-9, ?) D. (-9, 9)