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A: Here we will draw tree diagram and write chain rule,

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

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A: To evaluate the given integral  

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A: Definition of derivative:f'(x)=limh→0 f(x+h)-f(x)hf(x)=x-5f(x)=5-x,  x<5x-5,  x≥5L.H.S. limit:x&l...

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A: Limit

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A: Let's find. 

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A: follow next step

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A: Given 

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

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

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