Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

echo94

  • 2 years ago

The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 5 cm/s. When the length is 11 cm and the width is 4 cm, how fast is the area of the rectangle increasing?

  • This Question is Closed
  1. LolWolf
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Related rates: We know: \[ \frac{dl}{dt}=4\\ \frac{dw}{dt}=5 \]So: \[ A=lw\implies\\ A'=l\frac{dw}{dt}+\frac{dl}{dt}w \]So: \[ A'=5l+4w \]We evaluate this at: \[ \frac{dA}{dt}\biggr|_{w=4, l=11}=5(11)+4(4)=71 \] Et voilá.

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.