Determine the vertex, focus, and directrix of the parabola and sketch its graph.x2 = -16y
A. vertex: (0, 0)
focus: (-4, 0)
directrix: x = 4
B. vertex: (0, 0)
focus: (0, -4)
directrix: y = 4
C. vertex: (0, 0)
focus: (0, 4)
directrix: y = -4
D. vertex: (0, 0)
focus: (4, 0)
directrix: x = -4
Answer: B
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Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = x3ex
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Solve the problem.Jill is 22.5 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2 kilometers per hour. They meet in 5 hours. How fast is Joe walking?
A. 3.5 kilometers per hour B. 2.5 kilometers per hour C. 4.5 kilometers per hour D. 2 kilometers per hour
Find all rational zeros and factor f(x).f(x) = x3 - 3x2 - 4x + 12
A. -2, -3, 2; f(x) = (x + 2)(x + 3)(x - 2) B. 3, 4, -2; f(x) = (x - 3)(x - 4)(x +2) C. 2, 3, -2; f(x) = (x - 2)(x - 3)(x + 2) D. -3, -4, 2; f(x) = (x + 3)(x + 4)(x - 2)
Write the system of equations associated with the augmented matrix. Do not solve.
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