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Q: Sinha Sechct) At

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Q: The curve y = tan x crosses the line y = 2x between x = 0 and x = pai/2. Use Newton’s method to find…

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Q: find dy / dx by implicit differentiation.

A: In implicit differentiation, on differentiating y, we use dy/dx.

Q: (sech°x)/1+ sin? if y = dx dy Find tanh°x

A: Given:-       To find:- dy/dx

Q: Integrate S x sin(x)dx

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Q: Evaluate S sinh x cosh x dx by introducing u-sinh x

A: Given that: ∫sinhx.coshx.dx

Q: S(cost x- sin x)dx

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Q: dy Use implicit differentiation to find dx 3х- 2 4y23= 3x +2 dy

A: Given that  4y^2=(3x-2)/(3x+2) Differentiate the function with respect to x

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: Evaluate

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Q: S cos*x sinx dx

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Q: Find the theoretical error bound in approximating SN" sin(x?) dx using Boole's Rule.

A: The theoretical error bound in approximating the integral∫0πsinx2dx using Boole's rule is shown…

Q: it Z = exY , where : x= Incutv) and y = tan () %3D find a) du శ్రీశర శశ్ర

A: Given,  z=exy ; where x=lnu+v and y=tanuv To find: partial derivatives

Q: Integrate tan -1 x dx without using integration by parts.

A: We will find the solution in the following step.

Q: dy by implicit differentiation: 2x 3x? y + y = 15 Find - dx

A: Take the derivative by concept of power derivative and chain rule of derivative.

Q: Integrate Jo tan h x dx

A: Use substitution method for integrate

Q: d arctan (tanh x) dx Show that sech 2.x.

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Q: Li S cos(x)esin(x)-2y dxdy

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Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

Q: Find dy ду é^sinx in sx

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Q: dy Use implicit differentiation to find dx 2х - 3 5y? 2x +3 dy dx

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Q: 3. Show that sinh a + sinh y = 2 sinh cosh %3D

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Q: dy Find by implicit differentiation. dz 3+ 5z = sin(ry) dy

A: We can find the answer using implicit differentiation as below.

Q: rIn 2 cosh x dx. Vsinh a x + 4 sinh x +2

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Q: If y- sinhx then prove that dy dx

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Q: FInd the length of the curve y= 2ln ( sin(x/2)) from x = π/5 to x = π

A: Formula to find the length of the curve is  ∫ab1+dydx2dxGiven y=2ln(sinx2) Lets find out dy/dx by…

Q: Find , if y = x sinh x - cosh x %3D dx

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Q: 3 sinº x dx 4 Show that

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Q: Bring out the importance of Frii's formula.

A: Answer: For the given data

Q: sin“ (x)dx 4

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Q: Sinhx cosy dx = coshx siny dy

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Q: (sin°x dx

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your…

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the…

Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P & Q is…

Q: Evaluate 0, dx by dividing the interval into 10 equal parts 8х-5 by using Simpson's one - third…

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Q: (StI At ds

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Q: aluc of 4 alue of dx. 1+(x – 2)? 1

A: See the details solution in below

Q: cos(xt) cos (sin(at)) dt D. tan x dx =

A: The question is taken from the calculus in which we have to find the value of the given integral, We…

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: Prove that cosh(x±y) = cosh x cosh y± sinh x sinh y.

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Q: Integrate f sinh 2x dx

A: In this question we have to find Integration.

Q: (sinx+1) (cosx+1) dy evaluate dx -If: y =

A: Use the concept for derivative of the form  y = f(x)/g(x)

Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: dy dx by implicit differentiation. 9. Find sinx +Scos 3y = 4

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Q: dy Use implicit differentiation to find dx 2x - 5 3y? 2x +5 dy dx

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Q: cosh(In x) dx

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Q: tan Find -dx using integration by parts.

A: Given integration ∫tan-1xx2dx

Q: Sin'z dz 4.

A: Note :- These are multiple questions and you not mention here whose solution you want. So i am…

Q: (a) Sizl=1 dz.

A: Here we use property of analytic function.

Q: sin 2x dx 4. J2osin cosmetin2xdx

A: