Solve the problem.For the surface z = f(x,y), show that the surface integral 
d? = 
dxdy.
What will be an ideal response?
Answers will vary. Let r = xi + y j + f(x, y)k. Then |ru×rv | = 
. The assertion follows.
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Evaluate.-
A. -5 B. -12.5 C. 12.5 D. 5
Using the graph of the ellipse, determine the coordinates of the foci, vertices, and center.
A. Foci (± 
, 0), vertices (± 3, 0), center (0, 0)
B. Foci (± 
, 0), vertices (± 4, 0), center (0, 0)
C. Foci (± 3, 0), vertices (± 4, 0), center (
, 0)
D. Foci (± 4, 0), vertices (± 
, 0), center (0, 0)
Solve the problem.The number of tourists visiting a popular landmark during year x can be represented by 
where x is any year between 1 and 15 since this information was recorded. Find the year when there were 48,000 tourists numerically by completing the table. 
A. year 5 B. year 10 C. year 15 D. year 1
Solve the inequality. Use algebra to solve the corresponding equation.x2 + 6x + 5 ? 0
A. [-5, -1] B. (-?, -5] C. [-1, ?) D. (-?, -5] ? [-1, ?)