×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## MAT 211- Lecture 5

by: Brigette Maggio

28

0

2

# MAT 211- Lecture 5 MAT 211

Marketplace > Arizona State University > Math > MAT 211 > MAT 211 Lecture 5
Brigette Maggio
ASU
GPA 3.9

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

These notes cover MAT 211- Lecture 5 on Sections 15.2 and 15.3.
COURSE
PROF.
Dr. Mohacsy
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Math, MAT 211
KARMA
25 ?

## Popular in Math

This 2 page Class Notes was uploaded by Brigette Maggio on Friday January 29, 2016. The Class Notes belongs to MAT 211 at Arizona State University taught by Dr. Mohacsy in Fall 2015. Since its upload, it has received 28 views. For similar materials see Math for Business Analysis in Math at Arizona State University.

×

## Reviews for MAT 211- Lecture 5

×

×

### What is Karma?

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

Date Created: 01/29/16
MAT 211­ Lecture 5­ Review 15.2 & 15.3  Review Section 15.2    Homework #14:  gt= 5x­0.46 gt (10,3)= 5(3)­ 0.4(10)= 11  gx= 5t­2x gx (10,3)= 5(10)­ 2(3)= 44  1.) When you study t=10 hours and GPA x=3.0, 1 additional hour of study would increase  the exam’s score by 11 points.  2.) An additional 1 point on GPA would increase the exam’s score by 44 points.    gt (10,3)/ gx (10,3)= 11/44= ¼    gt (10,3) =¼ gx (10,3)  ­Additional hour of study would increase your exam’s score by 11.  ­Additional GPA point would increase your exam’s score by 44.  ­Additional ¼ GPA point would increase your exam’s score by 11.    Homework #15:  A (P,r,t)= Pe^rt (80, 0.2, 8)  a.) AP= e^rt= 4.95       Ar= tPe^rt= 3169.94       At= rPe^rt= 79.25    Section 15.3­ Maxima and Minima    1​ ­Critical points where f​ = 0  ­Critical points were candidates for relative extrema.  ­To find critical points, set equal to zero.    ­Saddle point at (a,b)    ­Ex.: f(x,y)= 4x​+3y​ +6 Locate and classify the critical points.  where fx=0 fx=8x= 0 x=0  where fy=0  fy=6y= 0 y=0  (0,0)= critical point ­­­­­> candidate for min., max., or saddle point    fxx= 8 fxx (0,0)=8  fyy=6 fyy (0,0)=6  fxy=0 fxy (0,0)=0    H (0,0)= fxx (0,0) * fyy (0,0) ­ [fxy (0,0)] ^2    8             * 6           ­ 0^2 = 48Relative min. at (0,0)    If H is positive:   ­Relative min. if fxx (a,b) > 0  ­Relative max. if fxx (a,b) < 0  If H is negative:  ­Saddle point at (a,b)  If H = 0:  ­test is inconclusive    Homework #6:  g(x,y)= 1­3​2­x­2y​+y Locate and classify critical points.    1.) gx = ­6x­1= 0 x= ­⅙  gy= ­4y+1= 0 y=­¼          2.) gxx= ­6 gxx (­⅙, ¼)= ­6  gyy= ­4 gyy (­⅙, ¼)= ­4  gxy= 0 gxy (­⅙, ¼)= 0    H (0,0)= ­6 * ­4 ­ 0^2= 24 > 0  Because fxx (a,b) < 0 or gxx= ­6 <0, it is a relative max.at (­⅙ , ¼)

×

×

### BOOM! Enjoy Your Free Notes!

×

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

Jim McGreen Ohio University

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Janice Dongeun University of Washington

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

Jim McGreen Ohio University

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### 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