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Q: sin x dx cos3 x – 8 - 8

A:

Q: (1+iV3)"+(1-i/3)" %3D 2n+1 Sin(- 3 2" Cos( ) 3. 2n+ Cos( 3. 2" Sin 3. (1-V3

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: sin 0 + In + 22+3 = -3 - cos 20 - In y? + 327-4 = + 2ln y+ 22 -3 1+ (cot 0)2

A: Given system is sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

Q: sin² 2 (KTT) сс 2 Σ (***)_ ~*(+)) k4 k=1 8k

A: We have to solve the series.

Q: Integrate (sin θ - 2r cos2 θ) dr + r cos θ (2r sin θ +1) dθ = 0

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Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

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Q: COs x 10. S V4-sin2 x

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Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider…

Q: (sin 0)y" - (cos 0)y' 2 %3D

A: In the given question 5, The order of the differential equation is = 3 And the equation is linear.

Q: T- sinx) ²(1+ sinx Evaluate: sin'x cosx dx sin 10x -+C 10 A sin 10x +C 10 sin x B 8 sinx+C

A: Given query is to find the value of the integral.

Q: Integral: Evaluate -2 sin 2x xp= V9+ cos² 2x

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Q: () 1 (k) I-3 (1) sin(@)- sec2(0)

A:

Q: sin*[In()ax x{cos[

A: Given : ∫ sin3ln72x4dxxcosln72x4-1 Let us take  u= ln72x4⇒dudx= -4x⇒dx=-x4du Therefore, ∫…

Q: sine 2. Co s+1 J9-x2 5. 5 + x² Q4 メP 2.

A: Please refer the attached image for complete solution. Given: four integralsTo calculate:…

Q: 2 sin(x) cos(x) + v2 cos(x) = 0 COS

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Q: eiz-e-iz 1. Show that Sin z 2i

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Q: San What is the integrable form of sin-cos-sin0 de? 2 2 1- u? du 2 2 cosu du - Ju2-1 du -2 sinu du

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Q: lomain of y= sin3x i

A: The graph of sin 3x is continuous on the entire number line.

Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

A:

Q: 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin¯' 5x)

A: some functions are given , we have to find its derivative

Q: 2) y - • sin 0 +2 3元 2元 5元 3元 元 元2

A: The given function,       y=12.sin θ+2

Q: 4 cos (4x)(-4 sin (4x))dx. Evaluate the integral 4 cos (4x)(- 4 sin (4x))dx%3D

A:

Q: sin(2³ + 42) f(2) = %3D 2² – 2z + 5

A: In this question, we find the radius of convergence for the given function. For the radius of…

Q: sin(5x) dx 2+сos(5x) اخترأحد الخيارات х + tan(5x) + с.ао —In | 2 + сos(5ӕ) | +с.Ь 1 +c.c 2+сos(5ӕ)…

A: Since , in the given integration problem we have derivative of denominator in numerator so we will…

Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

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Q: BIARI dr x Cos (1-1)dt b) sin² x c) cos³ x d) - cos²x

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Q: sin 0- cos 0 = V2

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Q: sin x dy (2y Cosx + sin4 x) ax

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Q: f2(x) = (4x + 5)°, f3(x) = (2x² + x)/x, fa(x) = cos(3x) – 2 sin² x,

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: sin 3x = 2 Osx< 2n

A: Answer :- Option C is Correct answer.

Q: 7) f(x) = sin² x+ cos² x %3D Cosx-Sin X Sin X Sinx t cosx

A: Given

Q: 5 sin-ty = 0 b 3.

A: According to guidelines we should have been able to solve only one question at a time Solve # 3

Q: Quèstion 3 8+11x dx = 8-11x %3D 1 1 1 O A. 2 + C ++11x 8-11x 11x OB. tan-1 8 64 121x + C |- 1 11x 8…

A: Multiply by sqrt(8+11x) in denominator and numerator.

Q: y. x -. cos(- + cos(- 2 4 х — у, 2 sin(- 4 = cos x - sin y 2

A: Here, the objective is to prove the following: 2sinπ4+x-y2cosπ4+x-y2=cosx-siny

Q: sec x-1 sin x %3D secx+1 1+cos x

A:

Q: sin . sin . cos x d. cosz tan E tanz 214 14

A: Given that,

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Q: •π * (sin³ x)√1 + cos x dx 2

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Q: cos 2x - cos2a Integrate cos x-cosa

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Q: D Sin 2x 46 4 Sin -3 = -3%3D

A: (a) Given trigonometric equation is: sin 2x = 4 cos 2x We have to find the general solution.…

Q: (1+siny)[1+sin(-y)]=cos2y

A: Given:

Q: 6. Sin2 e dz (e² –2)²

A: Given integral, ∫ln2αexdxex-22

Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: ∫0π/2[√(cos3x) sin3xdx]

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Q: etan 4s | (cos (cos 4s)2 ds

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Q: | sin(2x) 2) +c 2 + cos(2x) da 2

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Q: sin³ydy 1+cosy

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Q: 2 sin(2) – (-v3) = V3) = 0

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Q: sin(3x)cos(3x) sin(2x) 의[cos(2x)-1]+ +C 12 8 4

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Q: sin 2 2) = (9z + 4), h(3) (2) (1) = sin(cos r), f"(1) %3D

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.