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Home/ Questions/Find the area enclosed by the curve x = t2 − 2t, y = t and the y-axis.
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kttutoria
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kttutoriaExpert
Asked: April 12, 20222022-04-12T15:23:56+00:00 2022-04-12T15:23:56+00:00In: Math

Find the area enclosed by the curve x = t2 − 2t, y = t and the y-axis.

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Find the area enclosed by the curve x =t2-2t,  y =

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and the y-axis.


♦ Relevant knowledge
Before finding the area of the closed area, we need to solve the given equation of the curve and the line, to find their intersection. When solving the equation, we see that the intersections are (x,y) and (x’,y’)
Determine the intersection with the axis, which can be divided into two closed areas for calculation. Note that, in case the value of the area of some particular region is negative, we need to take the absolute value of that region and add it to the rest of the regions.

area enclosed
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    kttutoria Expert
    2022-04-12T15:34:23+00:00Added an answer on April 12, 2022 at 3:34 pm

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