EQUATIONS 5y" – (y')* = y° sin æ yy" + 2x = tan x * + (#)' = 4e' St2 ds 8*M 82M = cos x + N xt' + (t")³ = = vr + 5 |(3y')? (4x°y³ + y) * y" ez² - y? (cos z)² – y" %3D

Q: IX. Find y' if 1. (5 pts.) y = 2 In (cos (Tx)) 2. (6 pts.) y = csc² (Arcsec (Va) + e-)

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Q: y = x sin-'x + v1-x² What is dyldx? " v1 - x2 x tan-1x >>>> >>> cos-'x sin-'x

A: The given function is: y=x sin-1x+1-x2

Q: (sinx)" dx is:- 4) The solution of (sin x) dx A) (sinx)' dx B) C) Zero

A: ∫0πsinx7dx=∫0πsin7xdxWe know…

Q: Given f''(x) = – 9 sin(3x) and f'(0) = – 4 and f(0) = 5. %3D %D Find f() =

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Q: (6) [²/2 sin² (2) cos2 (x).dx = A) 플 B) 플 C) 미플

A: We need to make it proper to solve this integration.

Q: If Sin-'x= Iny, show %3D ( l-xx) day - dx d X 2 x dy =y

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Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: ubstitution Suggested by the Equation y′ + 1 = 4e^−y sin x

A: Given differential  equation is dydx + 1  = 4 e-ysinx ey dydx+ ey = 4 sinxLet  ey  = v eydydx =…

Q: 4. S(9x + 33x +22) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find and of the implicit equatio: a 3x?z + y – xyz' = 0 b ye-* + z sin x = 0,

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Q: Find y'' if y=-6 cos x. OA. y' = 6 sin x OB. y' = 6 cos x OC. y'= -6 cos x OD. y'= -6 sin x

A: The function is given byTo determine: The expression of the second derivative of the function.Formul…

Q: Solve Y" - 6y + 13y = cos(4x)

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Q: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

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Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

Q: 10x 19) y Sin'(5x') (ans.: JI-25 x' 20) y= Cot ) (ans.: 1+ x' 6x' 21) y=tan'V4x'- 2 (ans.: (4x'-1…

A: As per guidelines we can only solve first question or first three subparts of the question, I am…

Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2

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Q: Siny dy = Cas y (l-x Cosy) Cauy) %3D

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Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

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Q: @ y = x tan 2x

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Q: In this particular problem, where is the u and du? Why does it suddenly not present in the solution?…

A: the given integral is: ∫esec(x)sin(x)cos2(x)dx let the given integral be I.…

Q: Solve 2(cos2x)y' + ysin(2x) = 4cos4x 0 =< x < pi/2

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Q: dy for y = 4 sin (x²). dx ] B2 (c): Find %3D

A: Need to fin dy/dx

Q: 1 sin-1x + - y)dx + sec¬1xdy = 0 xVx2 – 1

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