16. lim x2 cos(2nx) = 0 %3D

Q: The lowest point on the graph of y = cos x, 0sxs21, occurs when x=

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Q: Differentiate. f(0) = 0 cos(0) sin(0)

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Q: 1. 2. (√ex + (ex)³) dx /22sinx cos x dx

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Q: x*(1 + 2x') dx

A: This is the problem of definite integral with substitution. ∫01x21+2x35dx Substitute 1+2x3=t6x2dx=dt…

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

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

Q: sin(3x)e°*dx

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Q: (7) coshx + sinh x = e* %3D

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

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Q: 1.) Find the derivatives of a.) y = 3e²x — 2lnx + arcsec x

A: the given equation is

Q: If y = cos 3X find dy/dx: y = cos?3x = (cos 3x?. (cos 3x )?. %3D

A: Given, y=cos23x=cos3x2

Q: 2) Proof that If y = f(x) = = cos x then dx sin x

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Q: y=2(21,2-1 + arctan x) 2 2 x-1

A: Please see the whiteboard.

Q: 3. S sin x sec®x dx

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Q: 3. arcsin (cos A 3

A: Consider  arcsincos5π3

Q: Srind dy /dx for X-(0)(cas20+ Osino andy

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Q: Solve: y (cosx)= (9+ y²)

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Q: Evaluate: 4S d sin(t?)dt dx x 3x²sin(x“) – sin(x²) b. 2x°cos(x°) – 2xcos(x²) a. 3x²cos(x^) – cos(x²)…

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Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

Q: (5) sinh 2x = 2.sinh x.coshx %3D

A: (5)To prove the following identity sinh(2x) = 2·sinh(x)·cosh(x)

Q: @ y = x tan 2x

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Q: 1. L 16x dx 2. o &. + 2 +1 3. (sec x- tan x dx dx 4. cos x tan x 1/4

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Q: 6メ-8) - $(4)= =1 Cos x (8-x9- 15) %3D

A: Since in part 1st given equation has no rational roots so I will do 2nd question

Q: | sint x cosºx dx

A: Note: We shall answer the first question only as the exact one is not specified. Please resubmit the…

Q: 8e cos 2x dx csc(x) sec(x)

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Q: Cos 2x %3D 1-sin 2x

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Q: y = (cos x-x4+ 1/x2)5 - In (3x+1)  Find dy/dx

A: =?

Q: (b) 1:16 tan5(x) sec²(x) dx

A: 1621​ or if you have needed in decimal form then you type 0.00617283 round as much you need.…

Q: /3 dx cos x tan x /4

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Q: y = cos³V2x – 1

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Q: Given f''(T) 9 sin(3r) and f'(0) 6 and f(0) = 3. Find f 2.

A: Given f"(x)=-9sin(3x) and f'(0)=-6 and f(0)=3

Q: 1- 2- If x=y√√1-y², find Find y' for y=cos(sin²x) dy dx

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Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx

Q: -2 ' = cot (sinx') 3 3 Find (y') xsec x %3B

A: Given, y=cotsinx3