3cos3x (3cos³x - 1 1- sin?x To evaluate dx, the integrand can be transformed to

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Q: Derive the function Cos

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A: Given query is to find the slope and equation of the line based on the data provided.

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Q: 10x dæ x4 + 4x2 + 3

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Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

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A: We can find the rate of change of base wrt time as below

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A: Here we will check one by one as shown below

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Q: use the tangent plane to estimate the value of √(4.8x5.02)

A: use the tangent plane to estimate the value of √(4.8x5.02)

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Q: Find the General Solution 1. 2(2xy + 4y -3)dx + (x+2)2dy=0

A: 1) 2(2xy + 4y -3)dx + (x+2)2dy=0 Repost the next parts.

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Q: x13 – 3x8 dx

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A:   As per guidelines We"ll answer the first question if multiple questions are given.     Given d83dx...

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A: Simple limit 

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Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

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Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

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Q: (a) The associated parametric curve is one-half of what familar conic? Sketch the exact curve. r (t)...

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Q: noitutitaduz ontemonoghtanie sin' x dxsldsinsvlenigito adi to amal cos x

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Q: Find the length of the curve r(t) (e" cos(2t), e" sin(2t), e"), -2 sts 2 %3D

A: I am attaching image so that you understand each and every step.

Q: Obtain the solution of the following differential equations. 7. xy′ − y − 5x^4 − 3x^2 + 2x = 0

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Q: (1+ In²e) -' d® Otan-'(In®)

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A: