Define ro = 0 and xn+1 = In chis to Newton's method. tan(r,)-1 sec2(z,) What is lim, Pn in this example? Relate

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Q: - i) By using L'Hopital Rule, find sinx lim x-0 e3x 1 ii) Given that a = sin V3 2, find, csca -1

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Q: d 1 Use implicit differentiation to prove (arcsin a] %3D 1-a

A: The detailed solution is as follows below:

Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

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Q: 3G)Ú) Show that the reduction formula for atanx で-u sec"x dx = Sec" 「キu ) Hence use tthe formula to…

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Q: Suppose you want to prove that ARST Theorem. If you know that ZR = LX, what else do you need to…

A: In ∆RST  &  ∆XYZ, ∠R≅∠X.

Q: S cose de 1-sine sece tane de sece - 1 The integral fo fse Si x dx x²+√√√x²−1−1 sino de 1+ cose…

A: we have to above integration

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A: Formula Sin2x + cos2x =1  Find dy/dt

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Q: b,c,d

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A: Fundamental inverse Trigonometric Identities: →cosh2y - sinh2y = 1 Basic derivative:…

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A: The given function is w=zsinxy4+9z

Q: limit x to 0 sin(4t)sec(1000t)/10t

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Q: 1+3x – cosI 2.) lim tan x

A: limx->01+3x-cosxtanx When we plug in 0 for x then we get…

Q: -1 Suppose y = sin ¹x. Then y arcsin 1 Oy= sin a Or = siny Or=

A: Given that:- y= sin--1x. Then  Topic:- inverse trignometry

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A: arccos1-2x2 Put x=sinθ, we get arccos1-2x2=arccos1-2sin2θ=arccoscos2θ      ∵cos2x=1-2sin2x=2θ=2…

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Q: find: de So 2-cose using sediment theorem

A: Solution :-

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A: Let us start solving the problem step by step  Given  Cos(x)-(x/6)=0 Let f(x)= cos(x)-(x/6) We will…

Q: 1 Proof (I): (sinhx)' = Vx? +1

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A: Prove that: sinh 2x = 2 sinh x cosh x

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Q: 2. if 2x3 +10 x?siny-y"tanx = 0 ノ the y' so dy write ex pressin in terms of X and y.

A: Applying implicit derivative we have

Q: Use differentials to approximate the value of cos 29°.

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Q: (A) Prove that: cosh x + sinh x = e*

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A: Consider the given function y=4cos0.5x

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Q: Find sinh + C sech V5 + C sinh () + C X. Cosh 5 O -1 csch--

A: Integral of the given function is -

Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

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A: Concept: Trignometry inverse formula: One of the key ideas in mathematics is the inverse…

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Q: Hico/ prove Thall Cosh2: - 2 tañ z Sinhz: 1+2 Tanhiz =

A: Since you have asked for a question with multiple sub-parts , we will solve the first three…

Q: Example Let sinh(2)e f(2) Find the residue at z = 0.

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A: To prove the given identity we uses basic expression for sinh(x) and cosh(x).

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A: Given :         f(x) = sin xcos x - 2 on 0, 2π   To determine the extrema of the above function…

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A: Given y = sinh-1(x)sinh(y) = x On differentiating both sides , we get sinh(y)' = (x)'(cosh(y))dydx…

Q: Show that ∫∞−∞ sin x dx diverges.

A: To Show: ∫-∞∞sinxdx diverges.

Q: Find at the point (5, -1,5) where z is defined implicitly by the equation y°z + x cos z = z sin x.

A: Differentiate both sides partially with respect to y

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Q: In (tan (x)) dx. 3. Evaluate J sin(x) cos(x)

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take…

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A: Explained below

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.