(1) cos(x+y) (ii) Sim (x+y) (1) th (x+y) () Cos (x-y) (1) tm (x-y) (vi) (052x

Q: cos(x)y' + sin(x)y = 2cos³(x) sin(x) — 1, y(4) = 3√2, 0 < x < 1/17.

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Q: Solve (sin(x) cos(y)) dx + (cos(x) sin(y))dy = 0 if possible. If the equation is not exact, say so.…

A: First we check given differential equation is exact or not.  If given differential equation is exact…

Q: y" (t) - y(t) = 4 cos(t) ;y(0) +0 , y'(0)=1.

A: The objective of the question is to solve the given second order differential equation with the…

Q: If y = -cos(2t), then y(5)= ?

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Q: Match the graphs with their parametric equations. I O (a) x=4-t+2, y = ² O (b)x= 2 - 3t, y = √t O…

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Q: Find f. f"(x) = 5 + cos(x), f(0) = -1, f(9π/2) = 0

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Q: 3. Find the derivatives: a) f(x) = 3x³-4 2x²+3 b) DO NOT SIMPLIFY y = (x² + 6x + 2)(²+√x + 3) c)…

A: Given; a) f(x)=(3x3-4)/(2x2+3) b) y= (x2+6x+2)(2/x4 + 3sqrt(x5) +3) c) g(x)=-2csc7x+8sin3x+12tan2x…

Q: (b) S – cos(x) + 5 sec x cos x dx

A: This is is integration question

Q: (1) Integrate the following functions: (a) I = [ (4x³ − 6x² + 2x²³¹′)dx (²-3)dx 2 (b) I = .3 (c) I =…

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Q: Solve y' = cos(2x + y – 5) – 2. = COS

A: The solution is given as

Q: Find f. f "(x) = 5 + cos(x), f(0) = –1, f(9/2) = 0 f(x) : %D

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Q: Solve cos(2x) + cos(x) = -1

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Q: // (cos (a? + y³)dA where D: {(x, y) | 4 < x² + y² < 49} Find

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Q: If y(t) is the general solution for the equation: y' + y = sin(t), y(pi/2) = 0 Then, y(0) = ? a)…

A: Consider the differential equation  y'+y=sint,           yπ2 = 0

Q: 3. [ (sec²(a) — csc²(a) + π) da

A: We will use formulas of integration to solve it

Q: Hasbro is making a new adult size model for kylo rens lightsaber. The graphic design team needs to…

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Q: et +e» et Рe-* cosh(x) sinh(x) 2

A: Given that:- coshx=ex+e-x2 sinh(x)=ex-e-x2