Given z = 9t - 36 and y = 81 sin t dy (i) 9*cos(t) dx dy (ii) da? -9*sin(t)

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Q: solve the following x cos?y dx+tany dy = 0 -Q1 y dx = ( x+Vy2-x² ) dy -Q2 (sine - 2r cos?e ) dr +r…

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A: Given: dydx=yx+cosy-xx

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A: Given that : The differentiable equation dydx = 8 sin 4x . y = 6 when x = 0.

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A: Using derivatives.

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A: We have to show that

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A: Use seperation of Variables.

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A: The given function isy=sin2x-2cos3xto finddydx, d2ydx2    at x=0

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Q: Consider b. () 2: x dx e-2 sin 5 a

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A: y=t-1sintDifferentiate w.r.t 't'dydt=sint·12t-1-t-1…

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Q: Find the general solution of the following equations. 4. dy - x² = x dx sin x 5. y-'dy + ye cos x dx…

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Q: +2% X Sin x dx Kt, then the value ofk is equal to

A: Introduction :

Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: I= ( cos(In(x)) dx 13- I =

A: GIven that: I=∫cos(ln(x))xdx

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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A: Given that      x=t+cost , y=sint  Here we have to find d2y/dx2 .

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A: Solving the problem by finding the derivative.

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A: We have to solve the given integral .

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Q: - Ixy cosx? - 2yy t|] dx + [ Sin x? - x2] dy= O

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Q: Given: x = 4 cos 26 and y= 2 sin 26 What is the value of in terms of 6. dz O dy csc 29 dx2 -csc 20 O…

A: The solution is given below:

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

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Q: 4) e (). – | T|x² – 4| CoS - 2 2x sin sin² ( T|x² 19 dx 2 -3

A: Integrate

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A: The  given integral is ∫π4π2cosxsinxdx

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Q: Given x = sin4t, y = -cos4t, then find at %3D t = 16 dx О a.3 O b. 2 O c.0 O d. 1

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