Determine the area, in square units, of the region bounded on the right by the line g(x) = -3x + 27, on the left by the parabola f(x) = -(x - 5)² + 16, and bounded below by the x-axis by integrating with respect to y.

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A: see below the answer and explanation

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A: This question can be solved using the formulas related to gamma function

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A: We will use integrating factor method to solve this.

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A: Given i+121337

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A: The given function is fz=ln1+z.We need to write it in the form u+iv.

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A: Given :Z4+1=0Hint : i=eπ2i

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A: See the details solution in below

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A: We will find the required.

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A: The polynomial function At=0.003403t3-0.03743t2+0.1029t+0.009 gives the approximate blood alcohol…

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A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

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A: Here is the solution:

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A: The diagram has been redrawn to indicate the required point.

Q: for the following P.d.f of x, find the p(x<1) and p(lx|<1),F(x)=x2/18 if -3<x<3 and 0 in other place

A: This is a problem related to probability distribution function. Please follow the procedure given…

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A: We have to find the derivative of the function  gt=7t.

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A: Topic:- permutation and combinations

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A: This is a problem related to probability distribution function. Please follow the procedure given…

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A: y=x+9

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A: See this solution in below.

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A: In this question we have to find the following part of question 3.   NOTE: As per our policy we can…

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A: We have to find the value of given complex number.

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A: I have stated the used formula in the solution