dx ·J Ja(cos²(vx)) 1. .2 | x5 ln x dx 2. 3. arctan x dx

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A: The given function f(x)=2-3x2

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A: Given query is to find the interval where function is continuous.

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A: For part (a), option (b) is correct answer. For part (b), the given integral is Divergent.

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A: Use chain rule

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A: Since there are multiple questions the first question is answered as per our guidelines. Kindly repo...

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A: The graph is shown below:

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A: The population is given by P(t) = 0.0008t³ - 0.0714t² + 0.81t + 6.04

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→- v...

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A: Solution is here

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A: We have to find average distance from origin of a point between the two given spheres. 

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Q: Find the area of the region.

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Q: Integrals Involving Roots Evaluate each of the following integrals. 1. 2+Vx-4 xp-

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...