Given a = 8t – 22 and y = 64 sin t %3D %3D - dy dx d'y %3D da?

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: Given y = xva² – x² + a² sin¬1 (A. dx

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Q: Obtain the general solution por the di fferential equation %3D .(yd -x² )dy= 2xy dx %3D

A: Given; 1) y'=(x-y)/y. 2) (y2-x2)dy=2xydx.

Q: In the given equation as follows , find dy/dx:- see the equation as attached here

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Given y= sin3x, dy at a = 3 is approximately

A: The given function is y=sin3x. Differentiate the given function as follows. dydx=ddxsin3x=cos…

Q: e* + sin x = 2/xy , find y' %3D

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Q: Given x 12 sint + 30 and y= 12 cost +34 || %3D dx (i) dt dy (ii) dt

A: Apply here chain rule

Q: ,sinx cosx dx 7. E e А. 2e С. е — 1 D. 1 – e В. е

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Q: Given æ = 13t – 49 and y = 169 sin t dy dx dy dx? ||

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Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x…

Q: Given a = 8t- 39 and y= 64 sin t %3D RA dy %3D dx dy %3D da2

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Q: Given x 14t – 24 and y 196 sin t - dy dx d²y dx?

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Q: Given a = 2 cost + 17 and y = 3 sin? t dx dt dy dt dy dx

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Q: Given x = 2 cost + 17 and y = 3 sin? t dx dt dy dt

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Q: 1 y = V5 + cos I

A: We have to find dydx of the given function: y=15+cos x4 We know the formula of derivatives,…

Q: Given e = 98 sint + 24 and y = 98 cost +3 da (*) dt dy (é) dt dy (é) da ||

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Q: Use this equation to find dy/dx. 5y cos(x) = x2 + y2 %3D dy dx %3D

A: We have, Here, we'll take derivative on both side and then isolate the dy/dx.   It is known that,

Q: Given: x = 0 – sin 0; y = 1– cos 0 d'y Find: dx?

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Q: d ( cos(Vr ? +1)dt Find dx -2

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Q: The equation AT*y²-J¤+1 )dy = 0 1+8x y? -)dx +( is an exact equation if A=

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Q: 1. Given that Y = e + Cosx, find: dy a. dr b. d'y/dx?

A: Hello , thanks for your question but according to our policy I am answering the very first question…

Q: dy cos?x = -(tan x)y ;y(0) = -1 b) Solve %3D dx

A: Given that: dydx-cos2x=-(tanx)y; y(0)=-1

Q: Given z 13t 9 and y- 169 sin : dy dx d²y da?

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Q: NOTE: Enter the exact answer. xe*y dy dx

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Q: Given [2r + y cos(ry)] dx +r cos(ry)dy 0. Show that the equation is exact and find its solution.

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Q: c) J arctan(Vx) dx d) S arcsin(Vr) dx

A: In this question we have to find antiderivatives.

Q: dy Solve the equation sin (r) with initial condition y(0) = –1 using Separation of Variables. %3D da

A: Consider the equation: dydx=sin2xy,    y0=-1 To solve the given equation,…

Q: dy Find dx 1/4 | sin (?) dt y =

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Q: If cos (xy) = y-1, then the value of dy/dx when x=π/2 and y = 1 is?

A: If cos (xy) = y-1, then the value of dy/dx when x=π/2 and y = 1 is?

Q: Given x = 11t – 46 and y = 121 sin t dy dx dy dx? || ||

A: We have to find out the derivative and second derivative of given function

Q: Given x = sin3t, y = -cos3t, then find at t =. %3D dx а. 1 b. 3 с. О d. 2

A: We need to find dy/dx.

Q: Given a = 12t - 31 and y 144 sin t %3D dy (*) 12cos(t) %3D da (6) da?

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Q: (îi) If y dy sin h x, find dx

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Q: -x2 + 5 2. y = cos 2x³

A: Given: y=-x2+5cos2x3

Q: y dx — (х + бу?) dy %3D 0

A: Exact differential equation: The equation P (x,y) dx + Q (x,y) dy = 0 is an exact differential…

Q: dy I. y = cos(2t), x = sint = =? dx %3D

A: As per our guidelines we are allowed to solve one question at a time . kindly repost the rest…

Q: dy If x=sin y, find the value of at the point dx 2 3

A: Since we have been given that x=sin y -(i) and our aim is to find the value of dydx at the point…

Q: If y = (sin¬1 x)², show that dy (1 – x²) da? dy = 2. dr

A: y=(sin-1x)2 we have to show  (1-x2)d2ydx2-xdydx=2

Q: - y = V1 – sinx

A: Given,y=1-sinx3y=1-sin(x)13Differentiate w.r.t. x using chain…

Q: The value of | sin(x + y) dx dy is 0 0

A: To evaluate the below integral. ∫0π/2∫0πsinx+ydx dy

Q: The value of sin(x + y) dx dy is 0 0

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Q: For which value of a the equation SSS dy dx dz 1 2 does hold? O a. 0 Ob.1 O.-1 O d. 2

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Q: Use this equation to find dy/dx. 8y cos(x) = x2 + y2 dy dx II

A: Given  8y cos(x)=x2+y2We find dydx

Q: For which value of a the equation dz dy dx =2 does hold?

A: as per guidelines we only solve one question at a time if you want to know the answer of all please…

Q: sec?y dx? – csc²x dy? = 0

A: The given differential equation is sec2 y dx2-csc2 x dy2=0, which can be simplified as follows: sec2…

Q: NOTE: Enter the exact answer. yz dx dz dy = %3D -90

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Q: Given z = (x + y) 5, y = sin 10x, find dz/dx.

A: z=(x+y)5, y=sin 10xTo find  :dzdx

Q: Given a = 2 cost + 30 and y = 5 sin? t dx dt dy dt dy da || ||

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Q: Find the solution of the following IVP. * (ye)dx + (xe* + sin(y))dy = 0, y(0) = π

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Q: Given æ = 15 In(t) and y = 225 t² then find dy dx dy dx?

A: Given that       x = 15 ln(t)      and   y = 225t2 Here we have to find        dy/dx       and…