For the following two concentric circles, what would the radius of the larger circle need to be in order for the area of the inner circle to equal the shaded area between the two circles?
What will be an ideal response?
R = ?288 ? 16.97
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Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.About the line y = -1x = 4 (solid)
A. ?
B. ?
C. ?
D. ?
Factor the trinomial completely. If the trinomial cannot be factored, say it is prime.x3 - 24x - 5x2
A. x(x + 8)(x + 3) B. x(x - 8)(x + 3) C. x(x - 8)(x - 3) D. x(x + 8)(x - 3)
For the pair of functions, find the indicated domain.f(x) = , g(x) = 2x + 6Find the domain of f ? g.
A. (-?, -3] ? [0, ?) B. [-3, ?) C. [0, ?) D. (-?, ?)
For the parametric equations given, use a graphing calculator to generate the curve over the stated interval for the parameter t. Use the window specified. Also, find a rectangular equation for the curve.x = , y = 3t + 2, for t in [0, 4]
A.
The rectangular equation for the curve is
y = -2x2 + 18, for x in [0, 2].
B.
The rectangular equation for the curve is
y = 2x2 + 3, for x in [-1, 2].
C.
The rectangular equation for the curve is
y = 3x2 + 2, for x in [0, 2].
D.
The rectangular equation for the curve is
y = -2x + 18, for x in [0, 2].