Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).f(x) = sin (-2x) ; g(x) = sin x
A. Horizontal shrink by a factor of 
, reflection across y-axis
B. Horizontal stretch by a factor of 2, reflection across y-axis
C. Vertical stretch by a factor of 2, reflection across x-axis
D. Horizontal shrink by a factor of 
, reflection across x-axis
Answer: A
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At what points is the given function continuous?f(x, y, z) = 
A. All (x, y, z) such that x2 + y2 ? 25 B. All (x, y, z) C. All (x, y, z) such that x2 + y2 ? 5 D. All (x, y, z) such that x2 + y2 ? 0
Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.y = x + cos 2x, 0 ? x ? ?
A. local minimum: (1.444, -0.246)
local maximum: (0.126, 1.031)
inflection points: (0.785, 0.393), (2.356, 1.178)
B. local minimum: 
local maximum: 
inflection point: 
C. no local extrema
inflection point: 
D. local minimum: 
local maximum: 
inflection points: 
, 
Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xyi + y2j - 2yzk ; D: the solid wedge cut from the first quadrant by the plane 
and the parabolic cylinder x = 1 - 9y2
A. 
B. 
C. 
D. 
Subtract.5,878
A. 5,734 B. 5,646 C. 5,726 D. 734