du Given u In[y cos(3x²y)1, solve CoS %3D ax

Q: Evaluate ∫y0ksin(kx−π)dx where y and k are independent of x, and y is given by the solution to the…

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Q: 3 (b) / 2³ x³ cos(x¹ + 2) dx

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Q: i. An V21+3n an = 2¬" coS NT

A: We have to check whether given sequence is convergent or divergent. If convergent then find it's…

Q: The y - cos X 3 2 =2y %3D

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Q: Homogeneous Find C, if y f(cos 2n) = tan 45° 3(3x + y?)dx-2xydy 0

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Q: ax -bx -cos mxdx, a>0, b>0

A: note : As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: 187. [T] f (x) =1+ cosr, x = 3元 2. COS I,

A: Given: fx=1+cosx The tangent line is to be found at, x=3π2

Q: хр X UIS X,SO + (cos³x)y = 1 Кр

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Q: Evaluate [em 2* cos 2.x dx a) 2esin 2x +c cos 2x e b) c) ecos2x +c sin 2x d) –+C

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Q: a cos(x²)esin(z²) da -ут 10. TT

A: To find the integral.

Q: T Cos x-sin x Jr x² dx So

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Q: (c) y= sv1– s-1 + cos¯'(s)

A: To find the derivative of the given function

Q: sin 2x (a – b 2x)4 + K. VI Cos 2r

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Q: V3 11. cos(3x) = %3D

A: cosθ   is negative in 2nd and 3rd quadrant

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

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Q: xcosx dc + Cos x da 2.

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Q: The solution to the equation is y'(x)-2y'(x)+y(x)-cos(x) slad

A: Let us consider the given differential equation y''+ay'+by=Q(x) To solve the equation  Take the…

Q: 2. f(t) =t cos 81 +2

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Q: y = 5 cos (x*), -1sxs1

A: Here we use differentiation to solve this question.

Q: Evaluate cos 5x dx=, O a. 2 O b. -1 О с. 1 O d. 0

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Q: 6. Setting æ = cos 0 show that T,(x) = [(r + VI– a²)" + (x – v1- x²)"]

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = cos2 (3x - y2)

A: Consider the provided provided function, fx,y=cos23x-y2 Find the partial derivatives of the function…

Q: 2. Find cos ec (In x) dx . x1+ cot(h x)

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Q: 3) y' + y = cos(e*)

A: We have to find the general solution of the first order linear differential equation

Q: (x*+2 cos x -1+ 20) = 205) = dx %3D fuse rules)

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Q: 5. Find (b) y = cos (11x + 5x).

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Q: 3. Evaluate L{4e-2tt3 +t sint cos t}

A: L4e-2tt3+t sint cost

Q: Evaluate the equation below rsin 0 r3 cos 0 dr d0 0.

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Q: fsinx cos/x Зл А 256 3 (В 512 (C) None Зл (D) 512 3 E) 256 -dx is equal to

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Q: Q/ Solve the DEs: (cos x)y =yv-1) sin x.

A: This problem can be solved by seperation of variable

Q: H(x) = sin(esinh~1 *) %3D

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Q: (c) x³ cos(x²) dx. (Hint: start by using appropriate substitution. an

A: the given integral is: ∫π2πx3cos(x2) dx we have to find the value of the given integral.   let the…

Q: III. Solve using Algebraic substitution: 8. Į cos(y)#dy

A: given: the expression is ∫cosy13dy

Q: find the value of the constants a, b a SL, cos(x + 2y + 3z)dzdydx = %3D

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Q: cos e de =_ %3D • 2 • -T • 6

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

Q: 1. cos'xsin xdy+(ycos' x-1)d = 0

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Q: Rewrite (6x + 9) cos (x + 3x) dx using substitution of variables. o /3 cos udu o / 2 cos udu o / cos…

A: The given integral is: I=∫6x+9cosx2+3x dx

Q: tegral 1 -r³e"la0 cos²e ,² dr sin@d0 ¢ do = x 32πα x = ? %3D

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Q: 5. (y" – y) = e-X cos(3x) %3D

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

Q: 10* dx may be written as AlnlsecB* tanB*+ C: where A, B, and C are constants not equal to zero.…

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Q: f(t) = e3t + cos 6t – e3t cos 6t ; L{f(t)} =? %3D -

A: given ft=e3t+cos6t-e3tcos6t

Q: 2. f(1) =t cos 81 +2

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Q: Svæsin(x3/2)dx= A © cos(x/2) + C 을cosx/?) + C D

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Q: ja o <x < 360 b) sin (2x +) = 0, ja -n<x< * a) cosx = c) 2cos"x + sin (+x)-1=0,ja 0 <x< 2n

A: For (a),     cosx=-32⇒x=5π6+2πn, x=7π6+2πnFor 0≤x≤2π,⇒x=5π6, 7π6

Q: cos (y) C = 3x2

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Q: i. an V21+3n an = 2-" cos NT

A: Series and sequences

Q: (4x-) What is Y*? 2 Let Y = cos ( 4X

A: Step 1: Consider the given function:

Q: y = 15x cos X COS X %3D

A: Given that - y = 15xcosxDifferentiating on both sides with respect to x - y' = 15ddxxcosxy' =…

Q: Specify it if the differetial equation is exact or non-exact. FInd the general solution. (cos2y -…

A: Given that: (cos2y-3x2y2)dx+(cos2y-2xsin2y-2x3y)dy=0

Q: Solve (D? – 3D + 2) y cos (e-)

A: