- #1
tweety1234
- 112
- 0
Homework Statement
The diagram shows the graph of the curve C whose equation is [tex] y = x(x-1)(x-2) [/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 x-axis?
[tex] \int_\frac{1}{2}^2 -\frac{1}{4}x + \frac{1}{2} -( \frac{3}{2}) [/tex] [tex] dx [/tex]
?
https://www.physicsforums.com/attachment.php?attachmentid=18690&d=1241015314
Attachments
Last edited: