Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and 1/3 sq. units 3 sq. units 1 and 1/6 sq. units

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A: Let's find surface area  by using double integral.

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A: As per bartleby guidelines we only give first question answers.

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A: These questions can be solved using integration by substitution.

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A: Follow the procedure given below.

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A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

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A: Please refer to the image below

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A: Here is the solution

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A: Please refer to the image below

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A: The figure is

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A: To find out the derivative.

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A: To find the area under the given curve.

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is  to find the rate…

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A: topic- geometric series

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A: We have to set up the integral for volume.

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A: ∫1-1∫0x2-1dy dxWe need to evaluate the above double integral.

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Q: what substitution formula is used here ?

A: the substitution formula used here is-

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Q: convert the following differential equation into a Perfect equation and then Find its general…

A: Given problem:- convert the following differential equation into a Perfect equation and then Find…

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A: We can solve the integration as below.

Q: ferential √226

A: