Posted by Amanda E. on .
Please help out. Thank you.
A right triangle has one leg on the xaxis. The vertex at the right end of that leg is at the point (3,0). The other vertex touches the graph os y=e^x. the entire triangle is to lie in the first quadrant. Find the maximum area of this triangle.Justify your answer.
My work:
A= (3x)y/2
y=e^x
A=(3x)(e^x)/2 < is this the right equation?
Thanks.
No one has answered this question yet.

Repost Calculus; someone please help 
Kate,
Yes it is the right equation. Good job!

Repost Calculus; someone please help 
Amanda E.,
is the max. area 3.6945?
thanks. 
Repost Calculus; someone please help 
MathMate,
Yes, that's correct too.
In exams and in general, if the number is a "round" number like e⊃2/2, I would give the answer as e²/2=3.6945(approx.)
because the latter is an approximation. This will give the exact value as the answer.