Compute the gradient of the function at the given point.
A. 4,782,969i + 1,062,882j - 4,782,969k
B. -1,594,323i + 1,594,323j - 354,294k
C. 4,782,969i + 1,594,323j - 3,188,646k
D. -1,594,323i + 1,062,882j - 531,441k
Answer: C
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Find the vertices and the foci of the given ellipse.
+ 
= 1
A. V: (-25, 0), (25, 0); F: (-20, 0), (20, 0) B. V: (0, -25), (0, 25); F: (0, -20), (0, 20) C. V: (0, -25), (0, 25); F: (0, -15), (0, 15) D. V: (-25, 0), (25, 0); F: (-15, 0), (15, 0)
Determine whether the origin is an attractor, repellor, or a saddle point of the dynamical system xk+1 = Axk, where A is given below. Determine the direction of greatest attraction or repulsion, appropriately.A = 
A. Repellor; direction of greatest repulsion: along the line through 0 and 
B. Attractor; direction of greatest repulsion: along the line through 0 and 
C. Saddle point; direction of greatest attraction: along the line through 0 and 
, direction of greatest repulsion: along the line through 0 and 
D. Attractor; direction of greatest attraction: along the line through 0 and 
Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f(x) = 1/x.f(x) = 
A. Shift the graph of the reciprocal function right 2 units, stretch vertically by a factor of 7, and then shift 2 units up. B. Shift the graph of the reciprocal function right 2 units, stretch vertically by a factor of 7, and then shift 2 units down. C. Shift the graph of the reciprocal function left 2 units, stretch vertically by a factor of 7, and then shift 2 units up. D. Shift the graph of the reciprocal function left 2 units, stretch vertically by a factor of 7, and then shift 2 units down.
Describe the trace of the surface given by the function below 
in the xz-plane.
?
A. circle B. parabola C. line D. ellipse (not circle) E. hyperbola