On the circle x? + y² = r², find y". C. y": A. y" = =* E. None of these y -x3 -x2 - y? D. y" = В. у" Find dy/dx if y = x", x > 0. A. dy/dx = x*(ln x – 1) B. dy/dx = x²(In x+ 1) C. dy/dx = y*(In x+ 1) D. dy/dx = x(ln x + 1) E. None of these %3D

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A: We have to find the general solution.     According to our guidelines we can do only one question so…

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A: Let's find.

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A: Topic = Limits

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A: We will solve the problem on vector dot product and projection.

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A: Note:-  These are multiple sub parts question and according to company guidelinde we can do maximum…

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A: answer is in next step

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A: Given,  limx→1ln(x)x2-15x+14

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A: Here is the solution

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A: topic- limits

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A: Given

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A: Given query is to find statement is true or false.

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A: The statement is true. see below the explanation

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A: We will find the function.

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A: According to company rule we can answer only first question and rest can be reposted.

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A: We will use sigma notation.

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A: This question is based on vector projection.

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A: Given problem:-

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A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

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A: