Using Green's Theorem, find the outward flux of F across the closed curve C.F = xyi + xj; C is the triangle with vertices at (0, 0), (8, 0), and (0, 6)
A. - 40
B. 0
C. 48
D. 88
Answer: C
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Calculate the requested distance.The distance from the point S(9, 2, 10) to the plane 2x + 2y + z = 8
A. 
B. 
C. 
D. 8
Find the slope of a line tangent to the given curve at the point P by finding the limit of the slopes of the secant lines PQ as Q approaches P.y = 6x2 - 3; P is (6, 213); let Q have x-values of 5.5, 5.9, 5.99, 5.999
A. Slopes: 66, 68.4, 68.94, 68.994 m = 69 B. Slopes: 9, 11.4, 11.94, 11.994 m = 12 C. Slopes: 69, 71.4, 71.94, 71.994 m = 72 D. Slopes: 33, 35.4, 35.94, 35.994 m = 36
Solve the problem.An equal number of shaded and nonshaded discs are lined up in a row with all the shaded discs together and all the nonshaded discs together. Switching just 2 adjacent discs at a time, find the minimum number of moves required to arrange the discs so that shaded and nonshaded discs alternate. Use the pattern below to solve.
If the total number of discs in the row is 12, the number of moves needed is 
.Look for a pattern.If the number of discs in the row is 2n, how many moves are needed?
A. 23; 3n + 1
B. 15; 
C. 21; 
D. 13; 
- 2
Graph the function.y = 
sin 
A. 
B. 
C. 
D. 