Using Green's Theorem, find the outward flux of F across the closed curve C.F =(x2 + y2)i + (x - y)j ; C is the rectangle with vertices at (0, 0), (1, 0), (1, 10), and 

A. -90
B. 20
C. 110
D. 0


Answer: D

Mathematics

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Write an algebraic expression for the specified quantity.A manufacturing company produces 38,000 pairs of shoes a day when it operates in two shifts. The first shift produces  as many lamps as the second shift. Let x = the number of pairs of shoes per day produced by the second shift. Write an algebraic expression in x for the number of pairs of shoes per day produced by the first shift.

A. 20 + x = 38; 72
B. 38 + x = 20; 72
C.  + x = 38; 38
D. x - 20 = 38; 232

Mathematics

Find the indicated function values.If h(x) = x3 - x, find a. h(-1)b. h(0)c. h(3)

A. a. -2 b. 0 c. 30 B. a. 0 b. 0 c. 30 C. a. 0 b. 0 c. 24 D. a. -2 b. 0 c. 24

Mathematics

Find the length s. Round the answer to three decimal places.

A. 11.519 yd B. 10.367 yd C. 12.671 yd D. 9.215 yd

Mathematics

Use this table of conversion factors to help you answer the following questions. How many acres are in section? 

A. 170 acres B. 157 acres C. 160 acres D. 165 acres E. 161 acres

Mathematics