B. Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3) 2. P(3,0), Q(6, 4) and R(-1, 3)

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A: This question is related to limit and continuity, we will solve it using given information. 

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A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

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A: Please see the below picture for detailed solution. 

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A: This question is based on definite integral.

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A: topic - definite integral

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A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

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A: We put x2=u and differentiate both sides with respect to u and solve it. Follow 2nd step.

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A: f(x) =xf0(x) = xf0(4) =2f1(x) = f'(x) = 12xf1(4) =14f2(x) = f'' (x) = -14 x32f2(4) =-132f3(x) = f'''...

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A: I am attaching image so that you understand each and every step.

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A: Let's find. 

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