Wednesday

August 20, 2014

August 20, 2014

Posted by **Amanda E.** on Wednesday, February 9, 2011 at 10:18pm.

A right triangle has one leg on the x-axis. 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= (3-x)y/2

y=e^x

A=(3-x)(e^x)/2 <-- is this the right equation?

Thanks.

No one has answered this question yet.

- Repost- Calculus; someone please help -
**Kate**, Wednesday, February 9, 2011 at 10:21pmYes it is the right equation. Good job!

- Repost- Calculus; someone please help -
**Amanda E.**, Thursday, February 10, 2011 at 12:28amis the max. area 3.6945?

thanks.

- Repost- Calculus; someone please help -
**MathMate**, Thursday, February 10, 2011 at 8:05amYes, 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.

**Related Questions**

Calculus - A right triangle has one leg on the x-axis. The vertex at the right ...

7th grade math - The hypotenuse of a right triangle is 10 centimeters and one of...

Math - "One leg of a right triangle is 50.A line parallel to the other leg and ...

math - The longer leg of a right triangle is 3 more than the shorter leg. The ...

algebra - what is x short leg for right triangle when given long leg b is 1/2x +...

Geometry - Okay, this is going to be confusing to describe, so please bear with ...

Math 8th Grade - Jane's garden is in the shape of a right triangle. One leg of ...

math - did i do this right? The hypotenuse of a 30 ¨C 60-90 right triangle ...

Math - Jane's garden is in the shape of a right triangle. One leg of the right ...

gemoetry word question - can someone tell me the missing leg of the right ...