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PAGE: 363SET: ExercisesPROBLEM: 33
Please look in your text book for this problem Statement

The points are ,  and .

Find the line equation using the two points  and .

Point-slope form of line equation: .

Substitute  and  in above formula.

.

Find the line equation using the two points  and .

Substitute  and  in point-slope formula.

.

Find the line equation using the two points  and .

Substitute  and  in point-slope formula.

.

Graph:

Form the triangle by above line equations.

Graph the lines   ,  and .

Shade the required region.

Observe the graph :

Region enclosed by the given curves is in between  and .

Area enclosed by the curves  and  between  and  is 

.

Observe the graph:

In the interval , upper curve is  and the lower curve is .

In the interval , upper curve is  and the lower curve is .

Area of the region :

.

.

Area of the region is  sq-units.

Area of the region is  sq-units.



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