Decide whether the pair of lines is parallel, perpendicular, or neither.3x - 2y = 13 and 2x + 3y = -7
A. Parallel
B. Perpendicular
C. Neither
Answer: B
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Use spherical coordinates to find the volume of the indicated region.the region that lies inside the sphere and outside the cylinder
A.
B.
C.
D.
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 9x - 18yConstraints0 ? x ? 5 0 ? y ? 8 4x + 5y ? 30 4x + 3y ? 20
A. Maximum: -78.75; at (1.25, 5) B. Maximum: 0; at (0, 0) C. Maximum: 45; at (5, 0) D. Maximum: -108; at (0, 6)
Factor completely.y4 - 2y2z2 + z4
A. (y - z)2(y + z)2 B. (y - z)(y + z) C. (y - z)(y + z)(y2 + z2) D. (y2 - z2)2
Find the slope of the line through P(–9,1) and Q(–3,–11).
A) m = –1 B) m = –2 C) m = –4 D) m = –3 E) m = 0