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1 of 8 0-day streak

Find the area between two curves

Question 1 of 8

No calculator

The curves are defined below on the given interval

\[p(t)=-2\,t^{3} + 2\,t^{2} - 3\,t - 6\]
\[g(t)=-t\]

Use the interval shown below

\[\left[-2,\;1\right]\]

Determine the area of the region between the two curves

Use each displayed test input after the intersections are found
PieceTest input
Piece 1\(-\frac{3}{2}\)
Piece 2\(0\)
(a)2 marks

Find every intersection and enter the exact t- and y-coordinates

Order the intersection points by increasing displayed input coordinate, keeping each ordinate with its point

(b)1 mark

Select the curve that is above on the first piece

(c)1 mark

Give the exact enclosed area

Format: Exact value