February 21, 2017

Homework Help: Maths

Posted by Anonymous on Wednesday, February 18, 2009 at 11:24am.

1. Sketch the curves y=e^x and y=e^-2x, using the same axes. The line y=4 intersects the first curve at A and the second curve at B. Calculate the length AB to two decimal places.

2. Find the coordinates of the turning point on the curve y=2e^3x+8e^-3x and determine the nature of this turning point.

For 1, I have sketched the curves, but i'm not sure how to find the length. I thought I could do y=y to find the x co-ordinates (and use those as my limits) for each but I don't know how to find them out with e^x.

For 2, I differentiated it to get y=6e^3x-24e^-3x and don't know what to do after that.

Please help. Thanks in advance for any help!

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