Solve the problem.a). For the field F(x,y) = Mi + Nj and the closed counterclockwise plane curve C in the xy-plane, show that 
ds = 
b). How would the equality change if the closed path is followed clockwise?
What will be an ideal response?
Answers will vary.
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Solve the equation.3log125x = 2
A. 
B. 5
C. 25
D. 125
Determine whether the Fourier series of the given function will include only sine terms, only cosine terms, or both sine terms and cosine terms.f(x) = 
A. only sine terms B. both sine and cosine terms C. only cosine terms
Solve.In 1997, Little City Productions produced and sold 2939 thousand of its Little City Collectible Bears. In 2003, the number of these bears produced and sold had dropped to 461 thousand. Find the change in the number of bears produced from 1997 to 2003, and find the average change per year in the number of bears produced over this period.
A. change: 2478 thousand bears average change: 413 thousand bears B. change: -2478 thousand bears average change: 413 thousand bears C. change: -2478 thousand bears average change: -413 thousand bears D. change: 2478 thousand bears average change: -413 thousand bears
Find the vertex, focus, and directrix of the parabola. Graph the equation.(y + 1)2 = -8(x + 2)
A. vertex: (1, 2)
focus: (-1, 2)
directrix: x = 3
B. vertex: (-2, -1)
focus: (-2, -3)
directrix: y = 1
C. vertex: (2, 1)
focus: (2, -1)
directrix: y = 3
D. vertex: (-2, -1)
focus: (-4, -1)
directrix: x = 0