Provide an appropriate response.For vectors u and v draw a sketch to show that u + v = v + u.

What will be an ideal response?


Answers may vary. One possible sketch is:

Mathematics

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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), (2, 0), (2, 7), and 

A. 14 B. -84 C. 112 D. 42

Mathematics

Provide an appropriate response.Solve the system of equations using the substitution method: 3a - b = 3   a + b = 5

A. a = 3, b = 2 B. a = 4, b = 9 C. a = 4, b = 1 D. a = 2, b = 3

Mathematics

Solve. If necessary, round answers to the nearest hundredth.15 students were asked how much cash they had with them and the results were recorded.22, 25, 15, 10, 0, 5, 2, 40, 105, 20, 15, 60, 45, 8, 11How many students had more cash than the mean?

A. 11 B. 4 C. 5 D. 7

Mathematics

Solve the equation graphically over the interval [0, 2?). Express solutions to the nearest hundredth.sin3 x - cos x - 1 = 0

A. {0, 4.71, 5.71} B. {1.57, 2.57, 3.14} C. {3.14, 3.72, 4.71} D. {0, 0.57, 1.57}

Mathematics