Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).f(x) = -2 cos 
; g(x) = cos x
A. Horizontal shrink by a factor 
vertical shrink by a factor of 
, reflection across y-axis
B. Horizontal stretch by a factor 
, vertical stretch by a factor of 2, reflection across x-axis
C. Horizontal shrink by a factor 
, vertical stretch by a factor of 2, reflection across x-axis
D. Horizontal stretch by a factor 
, vertical stretch by a factor of 2, reflection across y-axis
Answer: B
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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xyi + yzj + xzk , S is the surface of the rectangular prism formed from the coordinate planes and the planes x = 5, y = 2, and z = 4, direction is outward
A. 100 B. 220 C. 110 D. 440
Provide an appropriate response.Of the mean, median, and mode, which take(s) into account the numerical size of all the data values?
A. All of them B. The mean and median C. The mean only D. The median and mode
Determine whether the given function satisfies a Laplace equation.f(x, y) = cos(x) sin(-y)
A. Yes B. No
Solve: 4(x + 2) = 32
A. 7.5 B. 15 C. 6 D. 10