Try it out:
i)Find the gradient of
m of the line segment joining the points
A and
B with
x-coordinates 0 and 1 respectively on the graph of y=
![e^x](https://studentforums.biz/cgi-bin/mimetex.cgi?e^x)
.
With this value of
m, the line
y=mx+c is drawn to meet the
y-axis at
C and intersect the graph of y=
![e^x](https://studentforums.biz/cgi-bin/mimetex.cgi?e^x)
twice between
A and
B, as shown in the diagram. A line parallel to the
y-axis between the points of intersection of the straight line and the curve meets the straight line at
P and the curve at
Q.
ii)Find the value of c which makes the maximum value of l
PQl equal to the value of the distance l
ACl
Relatively hard question.. even my teacher couldn't solve it.. but strangely the students could haha break a leg
![Cheesy :D](https://studentforums.biz/Smileys/default/cheesy.gif)