Compute the length of the curve r(t) = (-4t, 5t — 3, -2t + 3) over the interval 0 ≤ t ≤9 L =

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A: answer is in next step. please give a like!!

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A: Answer : Maximum area should be 4.225 unit2 .

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A: Please see the below picture for detailed solution.

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A: Please see the below picture for detailed solution.

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Q: (b) If f(x)= |x-1| is now restricted to the domain x ≥1, find f¹(x) and state its domain and range.

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A: Here is the solution:

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

Q: 1. Simplify the following: a) b) 8 45x X 3 15y 20y 18x 2 (x² − 9) 5 2 x+5x +6

A: Recall: a2-b2=(a+b)(a-b)