Question

A right triangle has one vertex at the origin and one vertex on the curve y=e^(-x/6) for 1≤x≤7. One of the two perpendicular sides is along the x-axis; the other is parallel to the y-axis. Find the maximum and minimum areas for such a triangle.

Round your answers to three decimal places.

The maximum area is ________ and the minimum area is _______.

@ganeshie8

Answer 1

what is the equation for the area of a triangle?

Answer 2

(1/2) b * h ?

Answer 3

@amistre64 ?

Answer 4

yes, but in this case its:

A = xy/2, take the derivative of that

we also know that y = whatever it equaled ... so that defines y' for us

Answer 5

ah okay thanks! :D

Answer 6

you got it from there :)

Answer 7

hehe thanks:)

Answer 8

good luck ;)

Answer 9

:)