Let f(x) = - 8 sin(x)cos(r). df dr d²f dz?

Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

A: The solution for the above question is as shown below.

Q: Cos“ 2t osh wt sin wt e2t sint

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Q: b) S sin 2 x cos x dx

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Q: (D² – 5D + 6)y = 15 sin x – 15 cos x - -

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Q: d²y Find С. dx? 1. y= sin 2x +cos² x sin x 2. у- - y= 1-cosx

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Q: Given y= 5e3X + sin x, -is dx A) 5e3x + cosx B 5e3x – cosx 15e3x + cosx D 15е3х — сosx

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Q: Solve the fllowing D.E +4y= cos x - sinx 2. CoS X %3D

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Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: Find for the following function. dx 6 cos x y = 6-5 cos x dx

A: To find the derivative of y.

Q: cos-1(2 x2)

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Q: Solve for f(x) the ir f f(x) cos px 8 sin² t

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Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: Given that y = sin (t) and x cos²(4t*), hence find dx dy

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Q: Find for the following function. dx 5 cos x y= 6-7 cos x dx

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Q: Given sin x + cos x = 1, find x for the interval 0 sx < 2n T/2

A: Find the value of x

Q: (c) Show that the function z -- eX sin yt ey cos

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Q: 4. J (cos x – sin x)²dx

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Q: tanr sec r dx 3

A: Here we will find the antidarive.

Q: (d) ƒ sin(1 – x)(2 – cos(1 – x))ª dx

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Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: 4. Find when dx tanx a. y e, giving your answer as a function of y. b. y- In(xvx-1), x> 1 sinx-cosx…

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Q: 11.) F sin (x)cos²(x)dx 2

A: Note:   As per our company policy we should answer only one question each time, so please repost the…

Q: Find for the following function: dx 1- y = sin-1 2x + 3

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Q: For S* sin x dx, what is dv? sin x dx OA 2x dx - cos x+ 2x sin x+2 cosx+C O.

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Q: Se2* (sin x + cos x)dx

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Q: find dy. = cos (x2)

A: Given- y=cosx2 To find- The value of dydx. Formula used- ddxcosx=-sinx.

Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO F

A: Topic- Derivative

Q: x3 Vx-5 у сos x. sin?x cos3x - Find dy/dx of

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Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

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Q: y = sin(Ax + B)

A: We will find the Differential equation as following.

Q: cos xdx (vii) S 5+sin2 x

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Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

A: The solution for the above question is as shown below.

Q: Suppose x and y are functions of a third variable t. If sin-(x) + cos°(y) = = and dr dy what is the…

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Q: 1 dx J 3 sin x+4 cos x+3

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Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

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Q: d dx et ex sin x + e* cos x

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Q: dx +x cos(t)-sin(2x) = 0, dt sin(2.x)

A: We have to slove this ODE:

Q: (c) So cos(-x)(x²)dx (d) S(3x² – 2x + 1)sin dx

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Q: Find for the following function: dx 1- y = sin-1 V2x + 3

A: See the attachment

Q: @2) find to dx 2. y=CoS 2' Sin e

A: To find the dy/dx of the given function

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: cos x 6) dx is equal to sin x A. In/2 В. Inv3 C. In" D. In e

A: The  given integral is ∫π4π2cosxsinxdx

Q: E valuate dx 7-3 Sin X +6 Cos X

A: solution.

Q: d (e*co cos x) dx

A: We have to find  d/dx(ex cosx)  We know that  d/dx(pq) = p'q + pq'  Here ,  p = ex , q = cosx  Then…

Q: x2 sin3(x) Q.2\ Find dx if y = In cos(x*).V1+x/

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Q: If f(x)=e^2x cos(3x), then f’(0) = ?

A: Derivative Question

Q: Find of the following functions: dx a) y = (x²+3x)5 b) cos(x²) + sin(y³) = 0.6

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Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…

Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,