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Homework Statement
The diagram shows the graph of the curve C whose equation is [tex] y = x(x1)(x2) [/tex]
a) find the equation of the tangent at the pont P whose x coordinate is [tex] \frac{1}{2} [/tex]
b) show that the point Q(2,0) lies on the tnagent and on C.
c) Find the shaded area.
the equation of the tangent line is [tex] y = \frac{1}{4}x +\frac{1}{2} [/tex]
But I am not sure how to work out the shaded area?
Is it the line minus the xaxis?
[tex] \int_\frac{1}{2}^2 \frac{1}{4}x + \frac{1}{2} ( \frac{3}{2}) [/tex] [tex] dx [/tex]
?
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