8. Let f(x)=x²/3. Answer the following: a) f(27) = c) f(-8)= e) f(x) = b) f(-1) = d) f(-81³₂6) = f) f(t³ +8³) =

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A: Find the value

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A: Domain of a function is defined as the values of x for which the function is defined.

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A: Here is the solution:

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A: We can prove the given statement as per the example in the below steps.

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A: Find out the differential equation by elimination of arbitrary constants.

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A: As you have asked for only evaluation of right side integral, I am doing only that. Hope it helps…

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Q: A. Complete the table below 1. 2x Given - 3x² = 5 2. 4 – x2 = 5x 3. (2x + 5)(x-4) = 0 4. 2x(x - 1) =…

A: Let's solve.

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A: Given thatRegion bounded by y=x28 , y=3xx=1 and x=3Using cylindrical shell mathod…

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A: Let's eliminate the arbitrary constant.

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A: Answer (4) We have to solve by extracting square roots (x - 2)2  = 16

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A: Topic- Limits and continuity

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A: Here we have to find the derivative of the function.

Q: Suppose F(x, y) = 9 sin() sin() - 9 cos( - and C is the curve from P to Qin the figure. Calculate…

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A: We use variable separable method to solve the given differential equation.

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A: Above question is solved.

Q: Find

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A: To solve the differential equation. y'+2xy=23x

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A: We need to solve D.E.

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A: Please refer to the image below

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Q: Evaluate the following Limits: 3√√x6+8 4x²+√3x4+1 1. lim x-00 2. lim X48 3. lim X-4 1 1 1+ 2x…

A: note : as per our company guidelines, only one question can be solved. kindly post other question as…

Q: Find the domain and range of: 1) y = 區 2) y =√1-x², 3) y = x² - 2

A: See this solution in below.