# area

#1

A parabola is given by the equation: f (x) =-x^2 + 4x + 5

a) Determine the parabola intersection point with the first axis

b) Determine the area of the area bounded by the parabola and the first axis

#2

The function f (x) and g (x) is given by:

f (x) =-x^3 + 1.5x^2 + 6x - 1 and g (x) = 6.5 - x

a) Solve the equation: f (x) = g (x)

In the first quadrant bounded between the graph of f (x) and the graph of g (x) an area that has an area.

b) Determine the area.

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#### Solution Summary

Determine the parabola intersection points with the first axis.

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