Coтрule the mtegral sin r dr т — 4г + 5

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Q: uong dutegre hon by Partial Fracthos 4 dx Cwalnałe

A: Method of long division and some basic integral formulae are needed in this.

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Q: 5. The path of soccer ball is modelled with a parametric equation, where t is in seconds and…

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Q: Convert the equation (x² + y²)³ = 4x²y² to polár form. " %3D

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Q: /6х — 22

A: We will evaluate the given integral as shown below by using trigonometric substitution

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A: Given The given vector field is F=yi+xzj+x2k and the surface is 8x+y+z=8. Apply formula…

Q: Find: WxtWy sWxy Way,Wxx Wyy,Wz, Wzz WZx;WZy, Wyz, Wxz W= sinh (xy-Z)

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Q: de 8)

A: we have to substitute 3x = u

Q: solve 2 (pedoe tydy +2d₂) ² 2 = {(2²-x²=y²2) (seds tydy + z dz/d2} z

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Q: 3D5 in.

A: The area of the circle can be computed using the formula: Area=π r2 Where, 'π' is the constant value…

Q: Evaluate and simvlify y'. sec 2w y sec 2w + 1

A: Given: y=sec2wsec2w+1

Q: sinh x 20. 1x1-3 A) 2. B)-2. D) 0.

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Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: sinty

A: This is a basic integration problem

Q: 24=y cotx

A: Given differential equation is 2y'=ycotx.......1. We have to find the general solution of the given…

Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

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Q: Shows: Vu² +a? u? du = In| Vu* + a° +u] - + a? + C (11) и

A: We use integrate by parts formula.

Q: Salve the DE Y- 2 y'+ sy=ě sine 2X

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Q: Differentiate, hcx) = In (x-Vr

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Q: bo Find (xT x)" xT y where, b2 40 ら子 112 45 54 118 54 %3= 128 50 55 60 121 60 66 126 65 59 136 70 61…

A: Here, we have X=14057145541505415560160661655917061175581805918556   and…

Q: Integrate

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Q: (2+h)* Use the definition of the derivative to evaluate lim h+0 h

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Q: Cosx 2) ). y dx+ týž - Sinx (²) dy = уч

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Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F =xi+ 5xj +zk…

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Q: STAO sin 2 ta)

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Q: 2K-tarメ %3D The Extreme of the turcrion tcx = 2x-toanx absolute Extrema [-1っ3,1? 2. on the interva!

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Q: ay/date Onos equation Cauchy Eulas digperential 19 x dy + 16y =8 dse 2.

A: Solve the Cauchy Euler differential equation: 4x2d2ydx2-12xdydx+16y=8x2