cos(x)y' + sin(x)y = 2cos (x) sin(x) – 1 G) = 3/2, 0

Q: What is y' of y = sin¹ (cos x)? O A. y' = ATHE sin + 1-cos² 1 O B. y' = 1 OC. y'= sin z 1-cos² z OD.…

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Q: y' + y tan x = sin 2x cos³ x y3 given x=0, y=1

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Q: y'tan x sin 2y = sin² x + cos² y.

A: We need to solve y' tanx sin2y=sin2x+cos2y This can be written as: y' tanx…

Q: Is g = {(x, y) ∈ [−5, 5] × R : x^2 + y^2 = 25} a function from [−5, 5] to R.

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Q: sin x 2. Find f'(x) if f(x) = 1 - cos x %3D 1 3. Simplify your result in (2) to show that f'(x) %3D…

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Q: 2.x²y"+xy'–3y= 0,x>0

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Q: dx (x – 2)Vx² – 4x +3 dx sin-1xV1- x2 L. cos(sec xVx2 – 1 -x) dx 2/V3

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Q: X dy + dx dy Y dx 2 - 1 sin(2x) = r arcsin(r)y5 (1 - cos(2x)) y³ y = (1

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

Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

Q: Find f. f"(x) = 5e* – 8 sin(x), f(0) = 3, = 0 %3D %3D f(x) = IN

A: Answer and explanation is given below

Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

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: 5 cos? (- x), then f' ) %3D is

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Q: (2) If y = (sin-1(x))², prove that (1- x2)y" – xy' - 2 = 0.

A: here first we will derivative with respect to x then squaring both side and put value of the y then…

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

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Q: 7 (1 + sin² x) = e 2" sin 2.x, y(0) = 1 X 7) dx

A: This equation solve by separation variable

Q: y=(b+x²)* +(1+x³)*(/3x² +x – c)cos²(4x) y' =?

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Q: If f(z) : f'(z) =D %3D coS I - 6 tan z, then %3D

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2 १ sin (3x) cos² (5x) d>

A: The integral we are trying to solve is ∫2 sin(3x) cos²(5x) dx. This is a complex integral involving…

Q: If y = sin (sin x) and d dy tan x + f(x)= 0, then f(x) equals dx2 (A) sin² x sin (cos x) (C) cos? x…

A: Introduction :

Q: verify tan(y)/csc(y)=1/cos(y)−1/sec(y)

A: Given data:     The given trigonometric expression is: tan(y)/csc(y) =1/cos(y) -1/sec(y).     To…

Q: x6 cos(x³) (A) True (B) False |dx=0

A: We will solve the problem

Q: solve  sin(x)dy/dx + ycos(x) = cos(x)[ex + sec2(x)].

A: Convert into dy/dx+p(x) y=Q(x)

Q: 1 cos²(x) 2

A: The given question as belonging to the calculus in which we have to find the given integral so now…