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

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: Given arccot(sin(2x + y)) + arctan(cos(2x + y)) = 0, solve for dx %3D dy

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Q: dy for y dx defined implicitly by the equation tan(x²y*) = 3x + y? 1. Find

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Q: If y = cos? x – sin? x, what is y? X - х, | dx

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Q: 1. Given y= [In(3x² +8)] dy find tan(6x) dx

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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: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: Given that y = sin (t) and x cos²(4t*), hence find dx dy

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Q: Find  dy/dx, given ? = sin √x

A: Chain rule in differentiation: also,

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

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Q: Se Ce cos (sin '(x)) COs (sin

A: We need to find the antiderivative of ∫ecossin-1xdv

Q: 4. y = csc x sin x + (sec? x + tan²x)

A: I have stated the used formulas in the solution

Q: d'y Find for dr? y = cot(x) dy %3D dx?

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Q: (b) S¤(tan? #)dx (c) S cos(2t)e'dt (d*) S(arccos x)²dx (e*) S (1+ 3x)2 dx Hint: Check for a similar…

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Q: For x=cos(3t), y=cos(6t), 0<t<n find and simplify dy dy COS and dx

A: Given: x = cos(3t),    y = cos(6t)     0&lt;t&lt;pi     To find:

Q: d) y = sin*(x'/3) + arctan(r?)

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Q: Given the following DE (cos 2y – 3x?y?)dx + (cos 2y – 2x sin 2y – 2xy)dy = 0 -

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Q: a) Given that y= sinh'(cos(x)), provide detailed derivation to obtain the expression of dx

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Q: S sin*xcos?x dx

A: The given integral is ∫sin4xcos2xdx. use the identities:sinxcosx=sin2x2sin2x=1-cos2x2 The integral…

Q: 2) Find of the following equation then simplify whenever possible. and dx dx2 x = 1+ Sin t y = Cos?…

A: The given parametric equation,   x=1+sin t, y=cos2t

Q: Given æ = 2 cos t + 12 and y = 6 sin? t dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: If y = cos(sin(2.x)), find . dx

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Q: dy Find dx for the following functions y = In (6x² + 9x³) y tan (e sin4x)

A: on solving this we get

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

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Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

Q: Find dy/dx for the following: 1) y = x3 + sin x2 + sin-1 5x

A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: a)- Find for, (x+ y)* = tan-14× + T* + InIny dy dx

A: To find dy/dx.

Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

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Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: A شعبة Given x2 + y? + z? = sin (yz) find dz/dx %3D

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Q: cos(kr)e¬lz dx, Hint: consider cases for k and I.

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Q: Suppose y sin? x + 2sin a, Find dy/dx. Answer:

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Q: The appropriate change of variables for the dx is Vx²-4 x=2 cosØ O x=2 sec Ø O x=2tan Ø O x=2 sineØ

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Q: Find dy/dx in the following: -1 2. Y= cos cot x

A: The given function is: y=cos-1cotx           From the property of inverse trigonometric function, we…

Q: dz Find a? sin(2y – 5z) =1+y cos(6zx)

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Q: (c) [ e sin(x²) dx < e –1. Show that

A: Solution of question as follows

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Given: X = 4 cos 20 and y = 2 sin 20 What is the value of d y dx? in terms of

A: We have to solve

Q: Find dx implicitly, if e*(e♥ – 1) + sin(2x+ 5y) = In(v7) – dy 5 ·cot(2x - y+2

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Q: 1. Find for, (x + y)* = tan-14x + T* dx InIny

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Q: dy = sin (t) and x= cos (5t-2), hence find dx Given that y 3=

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

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Q: Find dy/dx for the following 1) y = x3 + sin x? + sin-1 5x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: cos(xy) + sin(x/y) = 2y find dy/dx at point (pi,1)

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: The objective of the problem is to find the distance traveled by the particle whose position is…

Q: Find dy/dx of the following: a. y=sinh-5x b. y=sinh-e* c. y = cosh¹ √√x

A: To find dydx for the given y.

Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

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Q: dx Given arccot(sin(2x + y)) + arctan(cos(2x + y)) = 0, solve for dy

A: We have to solve

Q: 10. y = cos In 7x6

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