10. (Section 4.4) Find the area of the region bounded by f(x) = x² + 3x + 1 and g(x) = 6x + 1.

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A: Topic = Integraion

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Q: Determine whether the following series is convergent or divergente: (-1)" n = 1 n' +5

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Q: Use the comparison test to test the series n2- 1 n =1 クタ

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t²j dt

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Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: Graph 1 Graph 2 Graph 3 24y 6. 4+ 4. + -8-6-4 4 6 -8 -6 4 4 6 2. -4+ -4- -6. -8 -8- OYes OYes ONo…

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Q: If f(x) = (1 − x)2 and g(x) = 8 − x, find f(g(x)) and g(f(x)) f(g(x)) = g(f(x)) =

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Q: graph of the function arcsec(x).

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Q: Determine whether the following series is convergent or divergente: 00 (-1)" 2-n4 +2

A: We can solve thus as follows:

Q: Simplify cos[arctan( -). -12/13 5/13 12/13

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A: Answer is in step 2 and it is done by using the given conditions.

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A: Arc length formula:L=∫ab1+dydx2 dxy=4 x23dydx=423 x-13dydx=83 x-13

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Q: 100 (x– 6)" X- n = 0

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A: Given that the function is       f(x) = (x2-7x+13)/(x-4)

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Q: 12) What is the value of A+B in the following ellipse? The points are foci. a) 30 B) 20 c) 15 d)…

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Q: Find the area enclosed by the curves f(x)=38−x^2 and g(x)=x^2.

A: Solving