1. Given vectors =< 3,-1,2 >, < 2, 2, 1 > (a) Find the dot product of the given vectors. (b) Find 7, 71 (c) Find the angle between the two vectors. (d) Find comp and proj

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A: The function is

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A: Consider the double integral .To draw the region of integration.

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Q: Compute the derivative (r₁(1) r₂(t)) if r₁(t) = (t³, 1³, 16) r₂(1) = (e²,est, e71) (Use symbolic…

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A: Given that,             Let, the polar coordinates

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A: We find the value of r(3)

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A: x is varying from -2 to 2y is varying from - to 2The region is a circle which lies only in first two…

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A: We will integrate it with respect to t and then use initial conditions to find the values of…

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A: Consider the integration."Note that as per the rules, we are supposed to answer the first question…

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