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 = 2t - 1, y = t2 + 4, for t in [-4, 4]
A.
The rectangular equation for the curve is
y = x2 + 1, for x in [-2, 2].
B.
The rectangular equation for the curve is
y = x2 +
x +
, for x in [-9, 7].
C.
The rectangular equation for the curve is
y = - x + 30, for x in [-6, 4].
D.
The rectangular equation for the curve is
y = x2 + 1, for x in [-6, 4].
Answer: B
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Set up the iterated integral for evaluating over the given region D. DD is the right circular cylinder whose base is the circle
in the xy-plane and whose top lies in the plane
.
A.
B.
C.
D.
Match the graph with its correct equation (m and b are constants).
A. y = mx, m > 0 B. y = b, b < 0 C. x = h, h < 0 D. y = mx + b, m < 0 and b > 0
Factor a negative number or a GCF with a negative coefficient from the polynomial.-4x6 + 8x5 - 4x3
A. -4x3(x3 - 2x2 - 1) B. -4x3(x3 - 2x2 + x) C. -4x3(x3 - 2x2 - x) D. -4x3(x3 - 2x2 + 1)
Perform the indicated operation. Simplify the result. -
A.
B.
C.
D.