If this is on mymaths.co.uk then the answer to this question is: Integration.
That is how to find the area under the curve.
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By differentiating the answer and plugging in the x value along the curve, you are finding the exact slope of the curve at that point. In effect, this would be the slope of the tangent line, as a tangent line only intersects another at one point. To find the equation of a tangent line to a curve, use the point slope form (y-y1)=m(x-x1), m being the slope. Use the differential to find the slope and use the point on the curve to plug in for (x1, y1).
The answer is 32 you find the answer by simply multiplying 8*4. Hope this helps your problem!
The main utility of a cumulative frequency curve is to show the distribution of the data points and its skew. It can be used to find the median, the upper and lower quartiles, and the range of the data.
How do you find the area of an unequal quadrangle?