Find parametric equations for the line described below.The line through the points P(-1, -1, 1) and Q(-3, 3, -5)
A. x = -2t - 1, y = 4t - 1, z = -6t + 1
B. x = -2t + 1, y = 4t + 1, z = -6t - 1
C. x = t + 2, y = t - 4, z = 1t + 6
Answer: A
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Find the surface area or volume.The region between the curve y = , -0.9 ? x ? 1.0, and the x-axis is revolved about the x-axis to generate a solid. Use a table of integrals to find the volume of the solid generated to two decimal places.
A. 3.81 B. 4.12 C. 3.40 D. 3.23
Perform the indicated operations. Reduce answers to lowest terms and write any improper fractions as whole or mixed numbers. -
A.
B.
C.
D.
Factor the trinomial completely.4x3 + 8x2 - 60x
A. (4x2 + 12x)(x - 5) B. (x - 3)(4x2 + 20) C. 4x(x + 3)(x - 5) D. 4x(x - 3)(x + 5)
Use elimination to solve the system of equations.8x - 5y = 285x - 2y = 22
A. (6, 5) B. (6, 4) C. Inconsistent; no solutions D. (5, 5)