### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# MATH CONCEPTS CALCULUS MATH 131

Texas A&M

GPA 3.92

### View Full Document

## 15

## 0

## Popular in Course

## Popular in Mathematics (M)

This 3 page Class Notes was uploaded by Evert Christiansen on Wednesday October 21, 2015. The Class Notes belongs to MATH 131 at Texas A&M University taught by Angela Allen in Fall. Since its upload, it has received 15 views. For similar materials see /class/226018/math-131-texas-a-m-university in Mathematics (M) at Texas A&M University.

## Reviews for MATH CONCEPTS CALCULUS

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/21/15

Math 131 rcopynghtAngela A1181 Fall 2008 46 Supplement Optimization Problems Note Several of these examples come from your textbook Single Variable Calculus Concepts amp Contexts 3rd ed by Stew art Steps in Solving Optimization Problems Understand the problem7What is the unknown What are the given quantities and or conditions Equot Draw a picture 5 Create a model by assigning variables to quantities and express the model as a function f of one variable Also determine the domain of the function 4 Use the methods of sections 42 and 43 to nd the absolute maximum or minimum of f In particular 0 If the domain off is a closed interval then the closed interval method can be used c If there is only one critical number 0 of the continuous function f on the interval then the second derivative test for local extrema can be used since the local maximumminimum will also be the absolute maximumminimum o In some cases it is easier to use a variant of the rst derivative test for local extrema when there is only one critical number 0 of the continuous function f on the interval Iff x gt 0 for all x lt c and f x lt 0 for all x gt c then fc is the absolute maximum off Iff x lt 0 for all x lt c and f x gt 0 for all x gt c then fc is the absolute minimum off Math 131 rcopynghtAngela Allm Fall 2008 Example pg 306 A farmer has 2400 ft of fencing and wants to fence off a rectangular eld that borders a straight river He needs no fence along the river What are the dimensions of the eld that has the largest area Example pg 307 A cylindrical can is to be made to hold 1 L of oil Find the dimensions that will minimize the cost of the metal to manufacture the can Note I L 1000 cm3 Math 131 rcopynghtAngela Allm Fall 2008 Example 16 pg 312 Find the dimensions of the rectangle of largest area that has its base on the xaxis and its other two vertices above the x axis and lying on the parabola y 8 7 2 Example From a 24inch by 6 inch piece of cardboard square corners are cut out so that the sides fold up to form a box Without a top What should the length and width of each square be to maximize the volume of the box

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.