4. (a) Prove the reduction formula: tan?n-1 (2r) _ [ tann-2 (2r) dr 4n- 2 tan" (2.r) dr (b) The reduction formula is a recurrence relation given by 1.= fun tan" (20) da and lo = / tan? (20) da Evaluate Io with integration. (c) Now find Is using recursion from (b). Do not integrate in this step, integration will result in no marks for this part.

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A:

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A: Note:- As per your demand we solve question 14 and 15 for you  Given problems:-

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A: We are asked to find the equation of the graph.

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A: We apply chain rule here .

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A: We have given that, tanx4+3=0;   -2π≤x≤2π Let us consider that, y=tanx4            ⋯⋯1y=-3…

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Q: Problem 1. (a) Prove that the function f(x) = x³ – 4x + 2 has three distinct roots in the interval…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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A:

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A:

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A: As per the question we are given a piecewise defined function f(x)  with period 4 and we have to…

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A:

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A: We will solve this question by substituting the value of 3x.

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A: Note: As per our guidelines we are supposed to answer only the first three subparts. Kindly repost…

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A:

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A:

Q: State the domain of the rational function. 7x-6 f(x) = 4x +S OA (-*, *) O B. (-*, 2) U (2, ) Oc (…

A: Domain is defined as the set of values of x for which the function is defined.

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A: ∆ak= ak+1-ak      = ak(a-1) therefore anti difference of ak=ak/(a-1)

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A: Asked questions are solved.

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A: Follow the procedure given below.

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A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…