sinh-1x = In (x + vx² + 1) %3D

Q: dy + sin 2x + sin 2y + 2 sin 2x sin 2y dx solve by Separable method

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Q: | sinh$4x cosh 4x dx can best be evaluated by General Power Formula. A True B False

A: Explanation of the answer is as follows

Q: Kim throws a ball against a wall at time t = 0. At time t = 1, it hits the wall and then at time t =…

A: The objective here is to check whether Mean Value Theorem can be applied to show that at some point…

Q: Prove the formula.

A: Given a function Arc Sine Hyperbolic (t). We need to find the derivative of the function. Let's…

Q: Solve Cauchy Euler DE 4x^2y"-4xy'+3y=sin ln(-x), x less than 0

A: Let t =-x >0. Then the differential equation       4x2y''-4xy'+3y=sinln-x becomes…

Q: Evaluate / x cos(128x)dx. Use capital C for your constant of integration.

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Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

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Q: Find the general solution using reduction of order. 1. y''=ln(x)

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Q: solve using reduction of order (D^2+1)y=tanx

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Q: 4(sinh 5. Evaluate 6 x) dx V1+x?

A: We use the well known formula for sinh^-1(x) = ln(x + sqrt(x^2+1)) and then integrate the…

Q: sinh In(2+2x) dx? x+1

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Q: (2x-2) dx sinx dx 2. 3. √xdx 4. J² (²2x²+4x-2) dx 5. So (cosx+tanx)dx 1/1/4 6. Jo ¹/2_dx =dx √1-x²

A: Solve by integration

Q: tion of all components of v(3) correct to two decimal places.

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Q: Evalualte! dx cosX x+ メ+ 1

A: Given:

Q: Solve for 0 <x< 2n. 4sin'x - sinx = 0 %3D

A: Solution of trigonometric equation

Q: sinh(9x) If g(x) : 8 + cosh(9x) find g' (x) 8+ cosh(0)

A: Following formulae are used to solve first question

Q: +4)° x = sinh4t

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Q: A. Differentiate and simplify the result. 1. y = V4x + 3 log2(x² + 2) 2. y = 3vx2-3x+1 3. y =…

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Q: 1 dx = sinh-1x /1+x²

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Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: 4. f(x) = -sin Зл PS = DCP 11 VS =

A: We have to find the amplitude, phase shift, vertical shift and period of the given function.…

Q: -siny(x + siny)dx + 2x²cosydy = 0 %3D

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Q: zy (Smxa CosX) Axー Sinhy

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Q: arctanx e dx (1+x²,"

A: The given problem is to evaluate the given integral. We have to evaluate by using substitution…

Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

Q: solve using variation of parameters or reduction of order. (D2 + 1) y = tan x

A: Given (D2 + 1) y = tan x

Q: Investigate the root of the equation x+Ln x-5 = 0 in the range [3.2,4] using the Regula-Falsi…

A: Consider the given equation whose root is required to calculate.

Q: +(g-1)dx -t +(2xy-Siny]dy=o

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Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: Q3: Find value of x if 3 cosh x- sinh x= 4

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Q: Sinhx cosy dx = coshx siny dy

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Q: Integral sinh2xcosh3xdx

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Q: 8) S(eax - e-ax) dx 9) S; sinh x dx 1+cosh x

A: Answer to question number 8 and 9 are as below,

Q: Evaluate the integral. sinh 5a -dx +C. 5x

A: Evaluate the integral the given function Sinh is hyperbole function.

Q: 1- Y= sin( coshx log2 2 ) 2-Y= sinx.coshx. log2 2 3 - y = In Vx. sin x

A: Apologize  that we are permit to do first question of the multiple questions but still I am doing it…

Q: X= sin 2tS In %3D Find dw 2- Cost

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Q: sin 6x dx sin23x 4. 6. S Ve3x + e 4x dx ex dx 8. J 1+ e2x

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Q: 2-€2x y") edxtcuxe yd-siny)lye.co

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential…

Q: 3e° 3ecsch 3x 11) -dx sinh 3x tanh 3x

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Q: Q2): If sinh(x) =find tanh(4x). %3D

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Q: (7 – siny)y' = 3x2 + 2x

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Q: 2 cosh x+sinhx

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Q: Integrate sinh2xcosh3xdx

A: Given : ∫sinh2xcosh3xdx

Q: 2. Find the linear approximation to y = sinh (3x) at x=2. State your answer in both exact form and…

A: Find the linear approximation of f(x) at a point x=2

Q: | (In x)² dx_use integrationI

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Q: 6) csch-1x = In Vx2+1 (+ sinh-11 %3D |x|

A: 6. First  we will find relation between csch-1x and sinh-11x. From Hyperbolic trigonometric…

Q: find all solution of z   sinh(2z)=-1

A: Consider the provided equation, sinh2z=-1 Find all solution of z. Apply the trigonometric…

Q: alue of A can be calculated based on f(x)dx = 1.

A: The given probability distribution function is,