Z and dy 없 of y%3 (5x2 - ) (cos ar d²y Determine (cos x + In x).

Q: Find the value df (a) that Make ECX) is Contincity at X- Ž

A: Given that :f(x)=cosx2x-π      ,             x≠012a2-3a+4      ,   x=0

Q: 4. Integrate: 5dx dx a) f b) [ c) f- 1 dx; d) x' V16-x? 1+ cosx cos x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: dy B) Find for all the following dx 1) y = sin-13x 2) y = In(5x) 3) y = Vtanhx

A: Solution: As per our guideline we are supposed to answer only first three question please repost…

Q: Find dy/dx for y = (cos x) 2 + sin(x 2 )

A: Given that      y = (cos x)2 + sin(x2) We have to find dy/dx .

Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

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Q: 3. Find y' for y= cos(sin² x) 4. If x=y√/1-y², find y dx

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Q: // sin(7x²) dx dy. Compute O y/3

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Q: Find the general solution of y′−y=sin x + cos 2x using variety of parameters

A: Given that: y'-y=sinx+cos2x To compare the given differential equation with standard form of…

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

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Q: Using Variation of Parameters 4y''+4=cos-1x

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Q: Q4A/ If y=x sinx+√1-x², then dy/dx is: 1.√1-x² sin-¹ x 2. sin(x) O 1 O 2 x cos(x) sin(x) sin(x)2

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Q: 1. Lif f(x,y,2)=2exp(-5xyz)cos(15z) Find ôxôz

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Q: Ssint2x)dx = 2cos(2x) (2x) + С -cos(2x) + C O 2 cos(2x) -cos(2x)+ C

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Q: Obtain the general solution using separation of variables x cos² y dx + tan y dy= 0

A: Given differential equation is: x cos2y dx+tany dy=0 Apply variable separable: tanycos2ydy=-xdx…

Q: y 2sin x-cos 2.x for 0° sxs360

A: Consider the function, y=2sinx-cos2x Differentiate with respect of x,…

Q: solve the IVP x(1-siny)dy=(cosx-cosy-y)dx y(π/2) =0

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Q: dy/dx of y = (x^2)cos^4(x)

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Q: RFind dy/dx in terms of x and y if cos²(8y) + sin²(8y) = y+4. |

A: Given query is to find the derivative of the given expression. Pp

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: dz 1) Find ifz = 3 cos x – sin(xy),x =y = 3t - dt

A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered…

Q: dy Let y=e* sin 3x. Show that 3e-2* cos 3x - 2y. dx -2x d'y = -13y-4- dr Hence show that dx

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Q: 3. f(x,y) tanx - sec²x - cosy

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Q: dy Find for y=7x sin x+14x cos x-14 sln x. dy

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

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Q: Find the solution of the equation in the interval 0"sx <360 1. cos x+) 3 = - cos x +T3%3D

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Q: O1 Find: fx³ cos x dx using Integration by parts b. ſ cosx? 2x dx using Substitution Method a.

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Q: What is the annihilator for y=x e*cos 2x ?

A: Our Aim is to compute the annihilator for y=x ex cos 2x -(i)

Q: 2. If y = e-* cos 2x, then f'(x) = %3D

A: Given : fx = e-xcos2x

Q: Can you help me step by step?

A: The derivative of a function is computed as follows.

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

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Q: 5. y = l 1- co s x 1+co s x

A: We have to find out dy/dx for given y

Q: dy Find at x=0: dx y = (In(cos "x*) -1 COS sinh x %3D

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Q: 2- Find of y = dy dx y %3D /cos-1(In (xy))

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

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Q: zln x dx 2) S 3 cos3 x sinó x dx 3) 12.1 dt 13. 3t + 2

A: Explanation of the answer is as follows

Q: ution of y" + 4y = cos 2x b

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Q: dy Find as for y = x - x sinx O 1) - 1 - 3x² cosx - x³ dy sinx dy O 2) = 1 - 3x² sinx - x³ cosx °…

A: Differential

Q: S" cos de 4. 2 dx .2 -1 1+x² 5.

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Q: (c) Solve the IVP x(1- siny)dy = (cosx – cosy – y)dx.

A: Given,          x(1-siny)dy=(cosx-cosy-y)dxand            yπ2=0

Q: 5) Find 业一 dy for y cos(x) sin(x)

A: We have to find the first derivative.

Q: Chose only two: dy 1. Find for y + In x2 y2 -cos 2x* = 27 dx 2x+1 2. Evaluate: f dx -4

A: We use chain rule and product rule while differentiating the given equation.  Also for integration,…

Q: Intergrate dy (2y-x) =In Co)

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Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

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

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Q: (sın 2y - 2x cos 2y) dx +( 2x coS 2y + 2xsın 2y)dy=d when x= 2, Y = T 3. COS %3D

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Q: dx 2- Find dy of y = /cos-1(In (xy)) y %3D

A: Given: - The function is, y=cos-1(ln(xy))xy To find: - The derivative of the function, dxdy

Q: Live of y = e(x+ln x) cive of ƒ(x) = 5x6 – sec jye of y = e(sin x) e(sin x) - sin(e

A: We have to find the derivative of the given function

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

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Q: dx 3. 2y cos x + 4y sin x = sin 2x, given y =0 when x n/3.

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Q: If y = (4x² – 3x+ 2)(e2* – cos 3x), then find dy at x = 0. dx -2x %3D - -

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