Find the centroid of the region bounded by the given curves: y = 1 + 2x2 ; y = 3 ; x = 0

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A: I have stated the used formulas in the solution

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A: This question can be solved using the concept of ILATE.

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A: Solution of question is written in below steps.

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A: Given problem:- Find the average value of f(x) = x/((3x2 + 1)2 ) over the interval [2, 4].

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A: Given:       ∫sinxcosxex dx       =∫tanx exdx Integration by parts Formula:       ∫u dv=uv-∫v du

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

A: N(t) =N0 ekt  ...(1)N0 =260N(1)=260 ekN(8)=260 ek8N(8) =2 N(1)260 ek8 =2*260 eke8k =2 eke7k =27k =…

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Q: thea calcudeator to lach to the near1sk thousandth tHog124 20) 10gs 10.818

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A: This question is based on vector form.

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Q: Ex filnd divergenceof f when yj at (o1). 2 e ( + 9 J

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Q: Fór the functión f whósé graph is given, state the following. (a) lim f(x) X - 00 1 (b) lim f(x) X →…

A: consider the figure given below :

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A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

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A: Hee, the given function is: f(x)=3ex f'(x)=3ex

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Q: af If f(x, y) 3x+7y (3x-7y) then is given by: 42y (3x–7y)² 21y (3x–7y)² 42y (3x-7y)2 21y (3x-7y)² -

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Q: 11 а а? A = |1 b b² c2 %3 (b — а)(с — а)(с - b) |1

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Q: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x…

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