Differentiate y = In(cosh x) + 2 cosh x O a. sechx (1 cosh O b. cosh x cosh a 2 O c. sinh x с. cosh a O d. tanh x (1 cosh

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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A: Please find the detailed proof.

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Q: ation: tanh’(x² + 3y 3

A: We have to find dydx of following equation. tanh3(x2+3y3)+ex2y4=3        ........(1)

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x…

A: Given:     y = cosh ( ln ex^3 )

Q: Differentiate  G(t)= Sinh(In t) G'(t)=?

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Q: Given: y = arctan sinh find y' at x 2 cosh 1 3(1+sinh 1) cosh 1 Oy = 1+sinh 1 cosh 1 1+sinh 1 %3D…

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Q: B. Eind y by implicit differentiation. A.e sinh x+ In y cosh x= tanh(x - y)

A: The given equation is eysinhx+lnycoshx=tanhx-y. Calculate the value of y'. Here we use the formula…

Q: Find the total differential, given: (b) \theta = arctan (y/x)

A: Let us consider the function z=f(x,y)  The partials derivative are obtained as…

Q: plutions of (e + In y +2) dx + ( + In z + sin y ) dy

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

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Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: 12. Use integration to determine the average value of y = a² sin(b²x) between x = %3D 0 and x = b² *…

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Q: S sin x In(cos x) dx X

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Q: Make an octave code to integrate ex with respect to dx from 0 to 1, by Simpson’s ⅓ rule. Divide the…

A: Equation is f(x)=exThe value of the table for x and y x 0 0.25 0.5 0.75 1 y 1 1.284 1.6487…

Q: Figure out these antiderivatives. S dx /1-х2 arctan(x) dx 1+x? ( In(x))* dx 2x

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Q: Find dy/dx for the following : 9) y* = sin-1 x %3D 10) y = xtanx + sin-ly 11) (Vy)* = (In…

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Q: Given tanh(x)+ tanh ¯' (y) = 1, show that, 1- y? 1 – x² dy dx

A: Formula,ddxtanh-1x=11-x2Note- Since multiple questions are asked, I am answering the first question…

Q: (a) Integrate the following function; i) SG) dx 1+9x² ii) S dx (b) Differentiate y = cosh-1(x² + 1)…

A: 5(a) (i) Given integral is ∫91+9x2dx ∫91+9x2dx=9∫1919+x2dx=∫119+x2dx=∫1132+x2dx Hence,…

Q: S tan ax secex dx 3

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Q: dy - cosh x dx + (sinh x)y = e¬x

A: see the details solution in below

Q: Find dy Ldx For the following (Jy)' =(In tan x)(x") ( sin x)"

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Q: Find the area under y = 2 sin(x) + 2 cos(x) and above the x-axis from x = 0 to x = Tt/2. Leave your…

A: The given function is,

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Q: The derivative of y=eov? +cosh/x equals Select one: O y' = 2/x et +sinhx + sinh/x O None O y'=@ov +…

A: This is a composite function. Therefore we have to use rules for derivative of composite functions.

Q: 2 (F(x) + x³)dx = ? %3D -1

A: Given that the area under f(x) in [-1,2] is 10br2 So,

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: Solution of question is written in below steps.

Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the…

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Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

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Q: aw Q/ Find for wear sin ¹p where əx p = sin x q = z² ln y r at (x, y, z) = ( Hint: sin √1-x² dx X =

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Q: 1. Find for differentiate each of the following functions. dy хр a) (In(coshx) sinh x) g) y = - b) y…

A: Given: a)lncoshx3c)y+4coshx2=exsin-1(2x)g)y=sinhxex

Q: C) use implicit nind ay differentiation to dn for 22 (Osh (y) - In (tanh 2) = y2 %3D

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Q: 1:10 PM Wed Nov 24 Inverse hy perbolio AUTIVITY Oy = sinh (2x+-1) cosh Sza ☺ y= tanhB | -| /2

A: We have to find the derivative

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec(t)(2 sec(t) + 3…

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Q: Evaluate the integral.

A: to evaluate the given integral

Q: 2 S sin (ax)cos(ax)dx

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Q: Given: y = arctan sinh find y' at x = 2 cosh 1 1+sinh 1 cosh 1 %3D 3(1+sinh 1) cosh 1 1+sinh 1 cosh…

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Q: O Find area between Curve and x-axís for O Ex<3 for y= x²- 4x43x Find area between 4= Cosx and %3D…

A: Ans (1). Given that, y = x3 - 4x2 + 3x 0 ≤x≤3   and we have to find area between x-axis and given…

Q: dy 1- cosh x+ (sinh x)y = e¬* dx

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

Q: Apply integration by parts to find the indefinite integral. S e2t cos(3t)dt

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Q: 3. Estimate the value of the integral 1 dx (n = 4) using Trapezoidal rule. 1+ln x

A: The value of h in the trapezoidal rule is h = b-anh = 5-34h = 24h = 0.5 Form a table with the x…