Which of the following is true? @ - Scot*(x)csc°(x)dx = csc (x) 2csc7(x) , csc°(x) + C 9. 5 7 B Jsin*(x)cos³(x)dx = - Cos°(x) , cos®(x) _ cos²x) cos (x), cos (x) cos1°(x) +C 4 10 All for the above O Stan (x)sec°(x)dx =- sec (x) 2sec7(x) , sec°(x) + C 9 7 O Jtan (x)sec(x)dx = tan°(x) , tan'(x) , tan1º(x) · + C 10 6 4

Q: 1 - cos 2x if y = prove 1 + cos x y' = 2tanx.sec²x

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Q: x2 In solving for the antiderivative of f(x) = (9 – x2)32 using trigonometric substitution, Jf(x)dx…

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Q: csc(x) – 1 sec(x) Differentiate: f (x) = (A f'(x) = - csc²(x)+ sin(x) B B f'(x) = - csc2(x) – cos(x)…

A: We can use differentiation of trigonometric function rules to find the derivative of the given…

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Q: Does cot(x) + tan(x) = csc(x) * sec(x) ?

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Q: Let f(x) = 9 cos(cos x) f'(x) =

A: The given function is fx=-9coscosx. We know that if fx is a function then f'x if the derivative of…

Q: Differentiate. Fx) = 7V sin(x) f '(x) = Need Help? Read It Submit Answer Practice Anoth 2. -/1…

A: Solving Q1 Given:

Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

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Q: find y'. (show all the steps please) cos(xy) = x-y^2

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Q: Let f(x) = - 9 cos (sin(x*)). Then f'(x) = Preview

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Q: (a) [- 9x2 +x° cos x dx = 3

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: y''''+8y'''+32y''+64y'+39y=e^(-2x)((4-15x)cos3x-(4+15x)sin3x) Find a particular equation for:

A: The given differential equation is: y''''+8y'''+32y''+64y'+39y=e-2x ((4-15x) cos3x-(4+15x) sin3x)…

Q: cos( 2 cos (x/ 12)) = Select one: O None O 24 x / ( 144 + x²) O 2x ( 144 - x² )º.5 / ( 2x² - 144 )…

A: Given cos(2cos-1(x/12))We know that 2cos-1(u)=cos-1(2u2-1)Here upon comparing u=x12

Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…

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Q: Show that_(csc(x)) = −csc(x) cot(x). dx d (csc(x)) = dx || = dx sin²(x) 1 sin(x) 1 = = -csc(x)…

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Q: CSCX -1 Differentlate: f(x) = secx A f'(x) = - csc2x+ sinx f(x) = sinx - sec²x C rx)=cosx-sec2x f(x)…

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Q: Let f(x) = – 8 cos(cos (a®)). Then f'(x) =

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Q: Find the point of intersection of cos(x)=cos^-1(x)

A: We will find the point of intersection using the graph.

Q: et f(x)=-11sin x+3 cos x f' (x)=?

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Q: Differentiate y= sin'x- cos³x CO A. 3sin x cos x (sinx - cos x) COS B 3sio x cos x (sinx + cos x) C.…

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Q: Determine the value of the serie 4∑ ((-1)^n)/(n^2) *cos(nx) at the point x=1

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Q: Differentiate: y = sec(5a- 3x) %3D O y' = - (1522 -3) sec(5r-3r) tan(5a-3r) %3D O y' = (152- 3) sec2…

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Q: O find fx) if CoSx @ £(x)=. Sin X O flx) = x-4CSC x+2 Cot X © f(x)= (x).cotx 3- COSX. CSCX

A: SOLUTION-

Q: Ssin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x) SinZx [cos(2x) – 1]+ 8 * + C + 12 sin(3x)cos(3x),…

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Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

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Q: Can you express cos(7x) in terms of powers of cos(7x) Start from: cos(7x) = cos(7x) + i * sin(7x)

A: Note:There is a typo error in the question, it should be powers of cos(x) not cos(7x).Given…