y = sin³ 2x جد مشتقة الدالة

Q: Find the intergration of x^3(x^4-sine)^5 dx

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Q: 18y sin3 9y2. 10) +3 cos V9y2 + 3 dy + 3 cos

A: See the attachment

Q: Find dy/dx  if  4 cosx siny = 1

A: We will directly differentiate it.

Q: If Sin-'x= Iny, show %3D ( l-xx) day - dx d X 2 x dy =y

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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: what is the antiderivative of   (sinx/1+cos2x) dx?

A: Let,

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

A: Use the formula sin2x + cos2x =1.

Q: Find the differential of z = sin²(5x) + ev

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Q: find dy/dx of y=cos2x-sin4x

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Q: Integral of Sin^2(2t)cos^2(2t)dt

A: Given: ∫sin22tcos22tdt

Q: z = sin(6x) sin(5y) az az dy II

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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: That question please

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Q: 1. S(2cos4y – 1)i - sin4ydy

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: what is the acceleration at time t=o of a particle if its position is s(t)= cos (3t)-sin(4t

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Q: Find dy ду é^sinx in sx

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Q: Integrate: | cos" z dx

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Q: in integrating the function fx cos() dx using intogration by parts, whut would you choose for your…

A: Solution

Q: If Z= sinh () show that: *=+y==0

A: GivenZ=sinhyx

Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: dy Find by implicit differentiation. 20x = 20 - ey ... dx (Type an exact answer.)

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Q: Consider sin¹x cos³x dx. If we let u= sinx, the integrand can be transformed to

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Q: S sin Vat dt

A: Let the given integral be: I=∫sinat dt

Q: sin(6y) sin(8y) dy.

A: Topic - integration

Q: find dy/dx if y = (sin-1 x)2

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Q: 2.Find , if y = sinh x %3D dx' 1+cosh x

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Q: ACTÍVITY 2: Differentiate the 1) y = -2 sin 2) s (t) = - WE

A: Apply the differentiation rules for the trigonometric functions to get the derivatives of the given…

Q: Determine dy/dx given that: y = sinx - sin³ x O cos³x O cos x sin² x O sin³ x O - cos³ x -

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Q: Solve (1+siny)dylx=[(2ycosy-(secy+tany)]dy.

A: This question is taken from a differential equation in which we have to solve the equation and take…

Q: 4. Evaluate: a) 4 (earctan x)dx o dx b)음 arctan x dx # earctant dt

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: y'' + 3y' + 2y = sin ex

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Q: If y- sinhx then prove that dy dx

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Q: 2T sin (2) dydx 0,

A: To evaluate the double integral, ∫π2π∫0x3sinyxdydx.…

Q: find dy/dx if(cosx)y=(siny)x

A: Given: -

Q: 4) The curver= V1 + sin20,

A: Solution :-

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (5t), 8 cos (5t)),…

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Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

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Q: 8. [(cos'y- sin'y)dy

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Q: vE zy sin{z° + y)dzdy Find

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Q: %3D

A: We are given: u=ln 1-t21+t2⇒dudt=ddtln 1-t21+t2 The derivative can be found as follows:

Q: hind dy if y = sin(x")

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Q: sin(2x) dx+cos(3y) dy=0,y(π/2)=π/3

A: Consider the provided differential equation with given initial condition,

Q: 12) / Зy sin(5y?) dy

A: Solution:

Q: dy 1. sin 2ycos2y

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Q: sin³€ dt to ylomeldon 3.

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Q: (у-sinx) dy + dx = 0.

A: dy+(y-sinx)xdx=0⇒(y-sinx)xdx=-dy⇒(y-sinx)dx =-xdy⇒ydx-sinx dx =-xdy⇒ydx +xdy = sinx dx⇒d(x·y) = sinx…

Q: dy +Hanx Siny = I Cos y die

A: