Show that - if W= cos (メ+y)+ Sin(メ-y) Wメメ Wyy ニ

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

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Q: 2. -1z"cosdz zl=1

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Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: dy If dx = COS s 2x, then what is y?

A: The derivative is given by dydx = cos2x                         ........(1)

Q: Find Z, , Z, Z Zx for the following equation: ху, "yx Z- a x + су + c sin(xy) + d cos(y') , where…

A: To find The partial derivatives of the given function

Q: Differentiate y = In (cos² 3x).

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Q: Solve for A +능 D %3D B If: A=V8 (Cos ti Sin) %3D 8 = (1+i) c : V2+2i D = 3[2.5 cis los°- 3.3 cis 60]

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Q: (D² – 2D - 3)y = 2sin x a. , =cosx -sinx =-cosx -sinx c. = -cosx +sinx COSX 1 b. yp С. Ур 21 COSX d.…

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Q: (Yp)for y2) + 4y = 3cos2x ;is %3D اختر احدى الدجابات a. y = c, cos2x + C2sin2x b. y x2(Acosx +…

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Q: (b) Differentiate y cos-1 23

A: Differentiate the given y with respect to x.

Q: Evaluate 2 (y + y cos x)dxdy -3

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Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

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Q: b) S. cos x cos 7x dx

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Q: sketch the graph of the function Qu, y= 3 sin tx -1

A: Given function is  y= 3sin(x/2)-1

Q: 2 Cos4 Sin (sinz) de

A: Consider the integral  ∫cosxsin2sinxdx

Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: Graph the sinusoidal function using key points. 41) y = 1 + cos x 2- 1 -2n TC -1- -27 42) y = 4 sin…

A: Let's find.

Q: Suppose w = 8x² + 2y², X = 3 cos(t) + 9 sin(t), and y = 3 cos(t) — 9 sin(t).

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Q: (2 sin r - e) dr.

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Q: Əw ər Find when r = 5 and s= -5 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s). Əw ər = |r =…

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Q: y = cos(x),

A: Given data:     The given function is: y=cos(x).       (a) The cosine function is an even function…

Q: y = cos(-4x)

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Q: sin(-5z) cos (6z)

A: Given: ∫sin-5zcos6zdz

Q: 1 La So cos " dy dæ COS evaluate

A: We are given the Integral: ∫π2π∫0x21xcosyxdy dx=∫π2π1xsinyx×1x0x2 dx=∫π2π1x2sin xdx It cannot be…

Q: sin 2ydy 5.J7-3 cos 2y 15.

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Q: Find dx 11 for y = 9x2 sin x + 18x cos x – 18 sin x. dx

A: Finding the derivative of y