Find the focus and directrix of the parabola with the given equation.y2 = 9x
A. Focus: (9, 0), directrix: x = - 9
B. Focus: , directrix: x = -
C. Focus: , directrix: x =
D. Focus: , directrix: y = -
Answer: B
Mathematics
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Solve the problem.Let D be the region bounded below by the cone and above by the sphere
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration
.
A. +
B. +
C. +
D. +
Mathematics
Simplify the rational expression.
A.
B.
C. -2(x + 3)
D. -
Mathematics
Simplify the expression. The result will be one of sin x, cos x, tan x, cot x, sec x, csc x.
A. cos x B. sin x C. tan x D. cot x
Mathematics
Factor completely. If a polynomial cannot be factored, say it is prime.-16x3 + 44x2 - 10x
A. x(2x - 5)(-8x + 2) B. -2(2x2 - 5)(4x - 1) C. -2x(2x - 5)(4x - 1) D. x(-4x + 10)(4x - 1)
Mathematics