х — 2 sin? 3x 11.у %3D 2x2

Q: F(s) = .L{cos 2t H(t-) + (912+2t-1) H(t– 2)}.

A: We will find out the required value.

Q: Find dx y= % dx

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Q: Q3 Find f cos (x)dx ?

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Q: ANSWER iv dx ANSWER S sin(ax) cos(ax) dx

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Q: dp Find dx given p(x) = (sin?(3x))(3x²-4*)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g' The Power rule;…

Q: 9x Differentiate y = sec sec(; COS a

A:

Q: Evaluate fea cos(2x) dx

A: We have to above integration

Q: Determine whether the equation is exact. If it is, then solve it. (tan y – 2)dx + (xsec²y+ ÷)dy = 0.…

A: A differential equation Mx,ydx+Nx,ydy=0 is said to be exact differential equation, if ∂M∂y=∂N∂x. To…

Q: Rewrite the following equation with the variables separated. y' tan(y) = sin(y) (2x+1)

A: We will write the equation with variables separated as following.

Q: b) sin 3x

A: Let's find.

Q: Q1 Evaluate I, where: I = -3x cos 2x dx

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Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

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

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Q: y = c sinx

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Q: Rewrite the following equation with the variables separated. y' tan(y) = sin(y) (2x+1) Find the…

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Q: Find the solution of the given equation y'''+y'=tanx using Variation of Parameters

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Q: -3RT/2 b. Smt cos³x sinx dx

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Q: S tan?(-2t) sec²(-2t)dt

A: Given, ∫tan2(-2t)sec2(-2t)dt

Q: Determine the type of equation and find a general solution. dy/dx = (sinx + cosx)/ (y^2-1) show…

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Q: Write the equation of the line tangent to the graph of r = 5 cos (40) when 0

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Q: y = 2e cosx

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Q: ?cos(xy)dxdy

A: The objective here is to evaluate the double integral: ∫01∫0πx2cosxydxdy

Q: 16) da 1 y: Cos JE t 3.

A:

Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

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Q: Find the general solution of the following equations? 1- x2 + sinx – y = 0 dx

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Q: y = (cos(3x))*

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Q: WIs the equation e sinx+x-2=0 has real roots?. ( 3r

A: As Multiple Question are given, I will only solve the first one : We are given : exsin x+x-2=0 Now,…

Q: and y = 3 cos 2x for 0s

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Q: dx cot 2x cos 2x 4,

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Q: (2xy²-2y) dx +(3x²y - 4x)dy = 0

A: The given differential equation is;  (2xy2-2y) dx+(3x2y-4x) dy=0

Q: yx cos x dA

A: Known facts: If a, b, c  and  d are constants then ∫ab∫cdfx gy dy dx = ∫abfx dx  · ∫cd gy dy. ∫xndx=…

Q: i?? cos(2t) dt csc(10t3)

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Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

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Q: The equation 7e +3e can be expressed using sinh(x) and cosh(x) as:

A: The given expression is 7ex+3e-x. It is known that sinhx=ex-e-x2  and  coshx=ex+e-x2. Evaluate the…

Q: Determine whether the equation is exact. If it is, then solve it. (tan y - 2) dx + (x sec2 y + 1/y)…

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Q: - 24) fx cos (x*) dx 26) dx

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Q: S- d.x (sin3r2)?

A: To find: ∫2xsin3x22dx

Q: Which is an equation of y=sin(x) shifted up π units?

A: Solution:

Q: sec 2a cos? ydy – r (1 – sin y) dx dr = 0 COS

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: solve the following equation y(2x – 2xy+ 1)dx+ (x- 2y)dy = 0 %3D

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Q: Q6// Solve the equation: y cos? x dy + sinx dx = 0.

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Q: Q1/ solve the following equations. y\sinx + cosh2y = 0

A: The solution is given as

Q: Find of the equation y = cosx(1+ cscx). dx

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Q: cos' 0 d0

A: To solve:

Q: Q9.a) Find if y=sin(tant) and t=cos(x) dx

A: We can solve this problem using chain rule.

Q: S cos?x-ex

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Q: Which is an equation of y=cos(x) shifted π units to the right?

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Q: y = e* cos (9x) -9x %3D

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Q: Q4) Find the derivatives for the following: 1) y? + 3x? – tan-(3x – 12y) = 7n 2) y =…

A: Given,  (1) y2+3x2-tan-13x-12y = 7π    (2) y = sin-1xlntan6x   We have to find the derivative of the…