The solutions on this page focus on the questions: |
1. finding areas under one exponential curve. |
2. finding areas between two curves. |
Areas
(1 curve) |
1.
Find the x intercept:
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2.
Remember: Areas below the x axis are calculated to be negative so we need to take the absolute value.
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3. |
4.
If we develop an equation for the required area, we will have to try to integrate a log function. Can't do that.
So we will calculate the area of the rectangle and subtract the area under the curve - which is easy to determine.
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6.
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7. (i)
(ii) |
8. |
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9. |
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Areas
(2 curves) |
10.
(i) Find the point of intersection:
(ii) |
11.
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12.
Use TOP CURVE - BOTTOM CURVE.
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13.
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14. (i)
(ii) y values are the same
∴ ex + 1 = e + 1
ex = e
∴ x = 1 and y = e + 1.
(iii) |
15. |