If f(z) : f'(z) =D %3D coS I - 6 tan z, then %3D

Q: dx Perform the Integrations 1+ sin x+ cos x

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Q: (a) | (2x cos y + sin x) dx 6. */2 (b) I| (2xcosy+ sin x) dx dy

A: Solving integral

Q: Solve the DE: (cos y- cos x)y' +cos y sin 2x=0

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Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: dy -is: then dx cos. cos x Q21. If y = tan 1+sin x

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Q: .3 Cos x + cos x dx Vsin a 3,

A: Given…

Q: z = y sin(2x) + (1 + x²)e* + cos x tan¬(y* + 1) In(y6 + 137)

A: ∂z∂x=∂∂xysin2x+1+x2ex+cosxtan-1y4+1lny6+137=∂∂xysin2x+∂∂x1+x2ex+∂∂xcosxtan-1y4+1lny6+137=2ycos2x+1+x…

Q: Let z= sin (y2 – 4x), Find the rate of change of z with respect to y at the point (2, 1) with x held…

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Q: dy Find for three only: dx 1) y = In(cos x . Inx²)

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Q: sin t dy If y = tan" ), show that cos t-1 dt 2 II

A: Formula Sin2x + cos2x =1  Find dy/dt

Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

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Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

Q: 3. Explain graphically: cos x dx = 0.

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

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Q: sin x dy Given: y = Compute for dx 1-2 cos x

A: The given function is y=sin x1-2 cos x

Q: y = cos(2x), y = sin x, 0<x< 2

A: Solution is given below:

Q: The general solution of the D.E. dy/dx + y cotx = 1 is a. y -cotx + c sin x b. y = -tanx + C CSC X…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: dy - y cos x dx = y ln [yedk COS x]

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Q: dy - y In(ye cos *)dx = y cos x dx COS X

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Q: Let z=sin (y 2- 4x). Find the rate of change of z with respect to y at the point (2, 1) with x held…

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Q: (a) / sin sin(8x) + cos(7.x) dx (b) / (3x – 5 sin dx 2 (c) / cos(3t) + sin(5t) dt

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Q: - (2y cosx + sin* x)dx : sin x dy, when x =y= 1 %3D

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Q: Let z= sin (y²– 4x). Find the rate of change of z with respect to x at the point (2, 1) with y held…

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Q: Ssin (2x)cos(2r)dx

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Q: dy cos(x)–+ y sin(x) = sin²(x) cos(x) y³ %3D dx

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

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Q: Take the derivative of this integral.

A: Given

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

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Q: ( cos x - 3xy- 2x) dx + (2y sin x – x+ In y) dy = 0, y(0) = e

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Q: 5-2x dy if y = cos Find dx %3D 5+ 2x

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Q: d'y +2 sin y cos' y = 0. dx 6. If y= tanx, show that

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your du? du = x…

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Q: dx y of y = cos 1 (In (xy)) Find %3D CoS dy

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Q: find dy/dx. ƒ(x) = x3 sin x cos x

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Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: 5) Find 业一 dy for y cos(x) sin(x)

A: We have to find the first derivative.

Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: dy - sin x sin y dx = x² cos x siny dx

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Q: a. cos x dy + y(sin x - 1) dx = 0; when x = 7, y = -2

A: According to our guideline we are supposed to to do only the first question if you want any…

Q: Find dy/dx if y = In (tan(x). 3sec(x) + /sin (x³)

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Q: Dy/dx of tan y=ln (cos2 y/ 1 + sin y)   - x

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Q: b f sin'x. cos²x.dx ef cos(Inx).dx C-

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Q: Find dy if sin x + 1 = cos y dx²

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Q: HW 0If y=tanx show that- yl" =-2 Siny coży

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Q: gives – sin(y)ÿ = cos y = x, so implicit -1 - csc y = rentiatio dy dx

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

A: solution.

Q: 25. (2y cosx + sint x)dx sin x dy , when x =y = 1 %3D %3D

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