32. a) Determine the vector equation of the line of intersection of these 2 planes: x + 2y + 2z = -3 1 2 2x - 2y-z = 4

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A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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A: I =∫xn dx= xn+1n+1 Ans = 1/72

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A: Solution given below

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A: This question is related to vectors, we will solve it using given information.

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A: Use derivative for finding the increasing and decreasing interval.

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A: dv = dxdydz And put the limit of integration.

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Q: a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

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A: cos(2x) = 1-2sin2(x) = 2cos2(x)-1. ∫cos(ax) dx=1asin(ax)+C ∫xn dx = xn+1n+1+C

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A: Use derivative and length of curve formula for polar curve.

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A: Let's solve.

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Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

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A: Find dy/dx  if xy+2x+3y=1

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Q: 2. Imagine you were given three different tables of values; a linear, quadratic and exponential one.…

A: Imagine you were given three different tables of values; a linear, quadratic and exponential one. To…

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A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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A: Using Laplace transform

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A: We have to evaluate the integral ∫0a∫y-1y+1 x+y dx dy  where a is a real number.

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