Find the value.If F(x, y) = tan-1 
, find Fx(-5, 6) and Fy(-5, 6).
A. Fx(-5, 6) = - 
, Fy(-5, 6) = - 
B. Fx(-5, 6) = - 
, Fy(-5, 6) = - 
C. Fx(-5, 6) = - 
, Fy(-5, 6) = 
D. Fx(-5, 6) = - 
, Fy(-5, 6) = - 
Answer: B
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Find the average value of 
over the given region.
+ z2 over the rectangular solid in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 31
B. 
C. 
D. 
Solve the problem.Suppose that y is directly proportional to x and that y = 25.2 when x = 7. Find the constant of proportionality k. Then, find y when x = 12.
A. k = 3.6; y = 43.2
B. k = 176.4; y = 
C. k = 3.6; y = 45.6
D. k = 3.8; y = 43.2
Sketch the graph of the quadratic function. Identify the vertex and axis of symmetry.f(x) = (x - 6)2 + 1
A. vertex (1, 6)
axis of symmetry: x = 1
B. vertex (-6, 1)
axis of symmetry: x = -6
C. vertex (6, 1)
axis of symmetry: x = 6
D. vertex (-1, -6 )
axis of symmetry: x = -1
Provide an appropriate response.Solve the equation 
for x. If y is positive and b is positive, what, if anything, can you determine about the signs of the solutions? Explain your reasoning.
What will be an ideal response?