Engineering Board Exam Reviewer · Applications: Area Between Curves · medium

Find the area between the curve y=6x-x2 and the x-axis.

1. 36
2. 72
3. 18
4. 108

Answer

A. 36

Solution

The curve meets the x-axis at x=0 and x=6. Area = 06(6x-x2),dx=≤ft[3x2-x3/3 ]06=108-72=36.

More Applications: Area Between Curves questions

1. Find the area bounded by y=sqrt(x), the x-axis, and x=4.
2. Find the area between y=x2 and y=2x from x=0 to x=2.
3. Find the area bounded by y=x2 and y=4.
4. Find the area under the curve y=x3 from x=0 to x=2.
5. Find the area enclosed between y=x and y=x2 from x=0 to x=1.

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