sin(0) If g(0) find g'(0) and g"(0). g'(0) g"(0)

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A: Here we use use substitution method to evaluate the given integral.

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A: see below the calculation below and final answer

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A: 1) a) The given function is, limx→π2cos 3x sec 7x. limx→π2cos 3x sec 7x=00 Rewrite the given…

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A: Integration:

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A: as per the company guidelines, I can solve only one question.

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A: Note:- In given problem, according to written way sin2x is multiplied by 3x+1. If you want solution…

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Q: 2. Find the derivatives of the folowing equations: y = sin-'(1 -t) y = csc-(x/2) y = In(tan- x)

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

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A: In some cases indefinite integrals can be converted to standard integrals using an appropriate…

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A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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A: This question is based on limits.

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A: Given-∫cos(ln(x))dx =∫xcos(ln x).1xdxLet u =x      and      dv= cos( ln x )1xdx  So,du=dx      and…

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A: we have to find the anti derivative of ∫sinx22xdx...............1 first we put in place of x2 =z…

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A: Given:FX=3 sin X+cos 4X ; the point π,1

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A: Given  y=sin x cos x2ln x and f(x)=3x2 We need to differentiate these functions wrt x. This can be…

Q: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),      (3,…

A: To Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),…

Q: EXAMPLE 1.2 The Derivative of the Log of an Absolute Value For any x for which tanx # 0, evaluate In…

A: Solution of the problem as follows

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Q: sinh-1 x dx.

A: We can find the answer as below

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A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: 1. lim sin x sin 2x x-0 1-cos x 3x+x+2 . lim X-4x3+8x+1

A: d) To evaluate                       limx→0 sin x sin 2x1- cos x                            =sin (0)…

Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

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A: To find the following derivatives.i ddx3 sin3tan x2+3x2ii ddxx2+1 cot x3-cos x csc x