Suppose the closed curve C in R? starts at the point (-1,1), goes along the parabola y = x2 to the point (2, 4) and then returns to (-1, 1) along a straight line segment. Use Green's Theorem to evaluate the line integral e dx + x²y dy

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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Q: Question 3 The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies ...

A: ∫-b-a1+xfxxdx = ∫-b-a1xdx +  ∫-b-afxdx = lnx]-b-a + ∫-b-afxdx Given ∫fxdx = Fx and Fx is odd functio...

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Q: dx = In[F(x)]+C.What is F(3) if C= 0? For %3D (x+x³) (x Tan-x+ 1) A B -1 + 3 D -15 -15

A: Please see the below picture for detailed solution. 

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A:      ∫sinθ2cosθ2sinθdθ=∫12sinθ sinθdθ=∫12sin2θdθ=12·∫1-cos2θ2dθ=12·12·∫ 1-cos2θdθ=12·12∫ 1dθ-∫cos2θd...

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A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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A: Given Problem is solved in attachment.

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Q: Given cost and price​ (demand) functions C(q)=110q+43,000 and p(q)=−1.9q+880​, what price maximizes​...

A: Please see the below picture for detailed solution.