5.) y'of y = arctan arcsin (

Q: Suppose thnat the tangent line to the graph or J is equal to the tangent line to e graph of g(r) =…

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Q: 3.) y'of y = arccos[arcsin ()

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Q: of cosx = = sin(x + 4 €) by Perturbation method. Find root over = of cosx =

A: As per the question we are given a perturbed equation as : cos(x) = ε sin(x + 4ε) And we have to…

Q: (b) Prove that : - 1) (coshx)2 – (sinhx)2 = 1 ,2) coshx- sinhx = e-*, 3) (cothx)? -1= (cschx)?

A: Given that  The following

Q: 4 In estimating | cos(3x)dx using Trapezoidal - 1 and Simpson's rule with n = 6, we can estimate the…

A: Error bound of Trapezoidal rule and Simpson rule for integrating f(x)dx in [a,b] is, ET…

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Q: find the length of the curve y = arcsin e^(-x) from x = 0 to x = ln 5/4

A: Given curve, f(x)=arcsin e-x from x=0 to x=ln54

Q: Find a curve through the point ( 1 , 5/6 ) whose length on the interval [ 1 , 2 ] is given by ∫ 1^2…

A: The length of the curve y=f(x) from x=a to x=b is L=∫ab1+dydx2dx Now , Length of a curve on the…

Q: Show that  arctan(sinh x) = arcsin(tanh x).

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Q: 8. Find the principal value of Arc tanh(1 + j2)

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Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the error 1…

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Q: √xA)• dS over the surface of a hemispherical bowl of radius 2 and its circular rim if A = 3 sin(-)â,

A: Please see the attachment

Q: solve for dy/dx :  arcsin (x/y) + arccos(y/x) = 5

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Q: 29. [sin (9y)sec (9y)dy

A: Use the formula sin2x + cos2x =1.

Q: 2 9) -sinh? -cosh -dz

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Q: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: Find the slope of the tangent line to the curve: 3.) Ħan0 at 0=n/4 4.) sin20 at 0=x/3 5.) rcos20 at…

A: Use the formula for the slope in case of polar coordinate.

Q: first and second derrivative of: y=Arccos(e^2x)

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Q: If y- sinhx then prove that = dx

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

Q: 1. Find the area under one arch of the curve y = cos- :cosex.

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Q: of the tangent line to the sine function at the origin. y y= sin(7 x) values with the number of…

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Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0, )

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

Q: 6.) y'of y = Insin(arctan 3x)

A: This is a basic differentiation question

Q: 3) Find the equation of the curve whose arclength from the point (4, 1) to the point (9, -1) is…

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Q: S) - aresin 2. 2 arcsin 2. is constant for 0sxs 4.

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Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

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Q: | 25. a. Find a curve with a positive derivative through the point (1, 1) whose length integral…

A: a) Find the curve-

Q: In estimating L cos (5x) dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the…

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Q: 1+ tanx y = logy 1- tanx prove that 9 = sec2x dy dx

A: Given,           y=log1+tanx1-tanx

Q: From 0-2 sin(x^2) dx using trapezoidal rule with n=4 as well as midpoint rule with n=4

A: Trapezoidal rule=∫02sin2(x)......(1)As we know that accoding to trapezoidal rule…

Q: Differentiate y= 3-carhx tespect to X 6+ Sinh x

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Q: 1- -In2 - cosh? () . 2 - cosh(Inx) dx

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Va2-x² Y=Arc sin + а

A: Differentiate wrt x

Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 6, we can estimate the error 1…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Sinhx cosy dx = coshx siny dy

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Q: Differentiate y= arctan sinh x. coshx A. 1-sinh x cosh x B. cosh x C. ainh-x D. 1+sinh-x

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Q: Determine the length of the arc y=ln(cos x) for 0≤x≤π3.

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Q: 2. One side of a right triangle is known to be 150 cm long and the adjacent angle is measured as…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The length of one arch of the curve y = sin x is given by L = | VI + cos² x dx. 0, Estimate L by…

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Q: 4. Evaluate sin (44°) + + COS (29°) using differentials. Refer to special triangles.

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Q: A rectangle is to be inscribed under the arch of the curve y = 4 cos (0.5x) from x = -pai to x =…

A: given

Q: 10.y = Arc cot (sinh3x) 11. y = cosh?4x - cos 12. y = In (sinh4x) cosh8x +x² 2

A: To find dy/dx: 10.y = arc cot ( sinh3x ) dy/dx = [1/(1+sinh23x) ]( cosh3x) 3  = (3 cosh3x) /…

Q: In estimating : cos(4x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

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Q: d. tion to prove that (cscx) dx = – CSC X COt x. 86. Use the quotient rule and the derivatives of…

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Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral

Q: 13) Estimate tan(44°) using linear approximation.

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Q: Cualuate the definle integial. x33 COs (xH) dx

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