sin(x2 + y?)dA, where 34. Calculate D = +

Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

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Q: y = Cje" cos 3x + C2e2 sin 3x %3D

A: Given,      y=C1e2x cos 3x +C2e2x sin 3x

Q: 4 ry sin (x? + y*)dxdy Find

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Q: y' + 2y = 5 sin(e2x) Need Help? Read It

A: We have to find the solution of given differential equation

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Q: Evaluate y sin(x + y) dA, where R: 0 < x <n/2, 0 < y < T/2.

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Q: bu= 는 Sin hT x dx ans=- xcosuT sin

A: We have to use the UV rule of integration.

Q: T/2 sin? x cos x dx 50.

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Q: Find S y? sin y dy

A: Given,            ∫y2sinydy

Q: Given x = 2 cost + 38 and y = 5 sin2t %3D

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Q: | w(w? + 1)3dw -1 dx х2 sin30cose d0

A: We will answer the first question since exact one wasn't specified, Please resubmit the question and…

Q: For y = sin? x+cos x, y' =

A: Given that, y=sin2x+cos2x We have to find derivative of the given function. Here, y'=dydx

Q: x sin? dy = (ysin? – x) dx %3D

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Q: 13. y'cosh? x = sin? y, y(0) = T in² y.

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Q: 15. S Vx sin?x³/2 dx.

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Q: y' + x sin 2y = x cos?y

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Q: 3. y'cosh?x = sin² y, y(0) = 2 %3D

A: We will use the method of separation of variables and then integrate.

Q: 4Find dy/dx for: y = sec?x - tan?x b- y = sec -x) C- y = sin(tan(3x))

A: Since, you have posted multiple questions and the questions marked by you has multiple sub parts ,…

Q: a sin(x + y); dA, R: 0<x < /6,0 < y < a/3

A:

Q: dy ? dx If sin(r + y) = xy, what is the expression for

A: sinx+y=xy Differentiating with respect to x…

Q: L[ cos? (t) – sin²(t)] = ? %3D 2 S s2 -4 s² +4 2 s2-4 s2+4 O c

A:

Q: T/2 dx L a+ sin? x' ļal > 1,

A: As too many questions are given, So I will solve only the first question. Consider, ∫0π2dxa2+sin2x…

Q: H.W Y= Sin *る

A: Given, y=sinuu=x2ex Substituting u in y we get, y=sinuy=sinx2ex Differentiating equation (1) with…

Q: ® SS sin (2x) – T dA R- (*14, "/2] x [O,1]

A: In the given question, concept of integration is used. Integration Integration is a method of…

Q: dy 5): sin(x+ y) dx

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Q: Pu Pu n. %3D dy? is cos (r – y) -3r sin (x – y) e (x+ y)? sin (x – y)

A: In these type of questions there may be more than 1 options. Check all the options.

Q: i) L {8e")=? ii) L{2cos3t}=? iii) L {e²*sin4t}=?

A: Note some formula of laplace transfomation : Leat=1s-a Lcos at=ss2+a2 Leatsin bt=bs-a2+b2

Q: W (sinh x , cosh x) = ? Select the correct response: O -2 -1 O 1

A: We will find the solution using the given operator.

Q: cos a V1+ cos2 r dr dy =?

A: In a double integration, the inner differential variable is integrated first. The order of the…

Q: Find the solution. (403+12D²+13D+10)y = 0. @ y=c,e+e>(c,cosx + c sinx) +c,sinx) -3x y =…

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

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Q: Sinx. Osy dx + Cosx. sing dyco

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Q: J 4 sin xecos* d.c

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

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Q: Find dy/dæ by diferentiating implicitly if sin (a?y?) : = x. Answer:

A: The equation given is  sin(x2y2)=x Differentiate both sides with respect to x ddx(sin(x2y2))=ddx(x)…

Q: sin?y dx + cos²x dy = 0 ; y (÷) =÷

A:

Q: If y = sin?r+ tant, x= - In(- cost) – e sinr, find the value of y' when t= 3/2 6. 2le 6. 2+ Vze v?…

A: If x=f(t) and y=g(t) , then dydx=dydtdxdt Note : In your question , options are incorrect.

Q: The solution of dy =y'sinx is: xp Select one: a. y= 3 3 COSX + c b. V COSX + C C. COSX- C d. V=secx…

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Q: +C 498 (9y) - sin° (9y) dy : COS

A:

Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: sin z VI+ cos I

A: To evaluate: ∫sin x1+cos xdx

Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: y' – 2y + y = 7e" + 75 sin(2x) %3D

A: Given differential equation is…

Q: (a) sin(r.ry) = + y²

A: To find: The derivative of sinπxy=x+y2. Formula used: The power rule of derivative states that…

Q: 2. y = x² sinx What is the appropriate formula? dy Solution:

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Q: 8 sin r at the point (, 4). e form y mx + b where

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Q: Find y' and y". y = eax sin(Bx) eer У 3 y": %D

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Q: L, 4x(1– x²)dx S 2 i) ii) -) dx ? (х + Sin?x

A:

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

A: