Evaluate L{3et sin 2t} 6. a) s2 + 4s + 8 6. b) 52- 4s + 8 c) s2 + 4s – 8 s-4s - 8 a 6o

Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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

Q: Solve cosx + secxr = - 2 on [0,27). 3n 4 O 3n 2

A: Explained below

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Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5)| (3220° – sin 20 + jln5)*|

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A: topic - indefinite integral

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Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

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A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

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A: Consider the given equation, cos2xcosx-sin2xsinx=22 Consider the formulae, cosAcosB-sinAsinB=cosA+B…

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Q: 1. prove that tan A sin 2A = 2sin2A %3D

A: Please refer the attached image for complete solution. THANK YOU.

Q: a) By using convolution theorem, show that 1 (sin 3t – 3t cos 3t). 54 1 L-1 (s² + 9)2

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A: Since multiple questions are asked, Answering first one. Repost with other question if you want to…

Q: Prove That 4 Sin ³²A - CoS 3 A +4 Cas³ A - Sin 3 A = 3 Siny A

A: We need to prove: 4sin3A.cos3A+4cos3A.sin3A=3sin4A

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A: This can be evaluated as:

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Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

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A: The objective of the problem is to prove the equation. sin2π8+x2-sin2π8-x2=12sinx

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A: The given problem is to show the result of given integral with using the given integral result.

Q: 6. 7 [sin¹ 3xdx

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A: The give trigonometric equation is: 2sin3x=2    ....(1) As we know that if the trigonometric…

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A: Given:

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A: Given : (sin ax)(cos bx)

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A:

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40³[cos 20-i sin2015 using De…

A: Formula Used-  De Moivre's theorem: cosθ+isinθn=cos nθ+isin nθ cos mθ+isin mθcos nθ+isin nθ=cos…

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A: the given sum is: cos 3x+cos 2x we have to express the given sum as a product.

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A: Given : ∇2=∂2∂x2+∂2∂y2+∂2∂z2 To Prove : ∇2=1r2∂∂rr2∂∂r+1r2sinθ∂∂θsinθ∂∂θ+1r2 sin2θ∂2∂ϕ2

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A: Given query is to find the integral.

Q: 4. Solve for all solutions to sin 3xcos 2x + cos 3x sin 2x =1 on [0, 2

A: Given: sin3xcos2x+cos3xsin2x=1 Identity Used: sinacosb+cosasinb=sina+b

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.