×

### Let's log you in.

or

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

×

or

## MAT 211- Lecture 2

by: Brigette Maggio

20

0

5

# MAT 211- Lecture 2 MAT 211

Marketplace > Arizona State University > Math > MAT 211 > MAT 211 Lecture 2
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 2 on Section 15.1.
COURSE
PROF.
Dr. Mohacsy
TYPE
Class Notes
PAGES
5
WORDS
CONCEPTS
Math, MAT 211
KARMA
25 ?

## Popular in Math

This 5 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 20 views. For similar materials see Math for Business Analysis in Math at Arizona State University.

×

## Reviews for MAT 211- Lecture 2

×

×

### 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 2­ Section 15.1 (Continued)    ­reviewed the table in the previous lecture’s class    Linear Function General Formula with 2 Variables:  z= f(x,y)= ax+by+c    ­Ex.: z= ­1.1x+0.5y+xy NOT l​inear! because of the xy  ­Ex.: z= ­1.1x​+0.5y​+10 NOT​  linear! because of the x and y​ (should be in first power)  ­Ex.: z= ­x+5y+pi Linear! pi works!    ­Ex.:   ­Each \$1 million increase in sales of x causes a \$2.7 million decline in sales of brand z.    a= ­2.7  ­Each \$1 million increase in sales brand y results in an increase of \$0.7 million in sales  of brand z. b= 0.7  ­All are selling \$6 million per pea​.=6, y=6, & z=6  6= ­2.7(6)+ 0.7(6)+c Find c!  z= ­2.7x+ 0.7 y+c    Graph of a Function:  ­The graph of the function y= f(x) is the set of points with coordinate (x, y=f(x)) in the xy plane.    ­Ex.: y=3x+2  x= 1.1 & y=5.3  The graph is a curve in the xy plane.           ­The Graph of a Function with 2 Variables:  z= f(x,y) is the set of points with coordinates  (x,y, z=f(x,y)) is the x,y, z space.    x=2, y=3, & z=1 *mutually perpendicular to each other*  (2 units in the direction of x, 3 units in the direction of y, and 1 unit in the direction of z)    ­There is an xy coordinate plane, a yz coordinate plane, and an xz coordinate plane.  *­The graph of z= f(x,y) will be a surface (circle) in the x,y,z space.    ­Ex.: 2­D y=0 ​  (x­axis) & x=0 (y­axis)                ­Ex.: 3­D z=0 ​(xy coordinate plane)  (you don’t go up or down)      ­Ex.: 3­D y=0 ​(xz coordinate plane)      ­Ex.: 3­D x=0  (yz coordinate plane)          ­Ex.: 2­D y=1 ​(horizontal line intersecting x­axis at y=1)      ­Ex.: 2­D x=1 ​(vertical line intersecting y­axis at y=1)      ­Ex.: 3­D z=1 (yes, linear!)​ (A plane that is parallel to the xy coordinate plane   shifted up 1 unit).             (xy plane +1)            ­Ex.: 3­D x=3 ​(A plane that is parallel to the yz coordinate plane and intersects the   x­axis at x=3).      ­Ex.: 3­D y=­1​ (A plane parallel to the xz coordinate plane intersecting the y­axis at   y=­1).  ­The graph of z= f(x,y) is a surface in the x,y,z space determined by the coordinates (x,y,&z).      ­Ex.: 3­D Find the graph of (plane) z= f(x,y)= ­3x­2y+6.  ­At which point the plane z= ­3x­2y+6 intersects the z­axis?  x=0 & y=0 to find the z­intercept   z=6    ­At which point the plane z= ­3x­2y+6 intersects the x­axis?  z=0 & y=0  0= ­3x+6  x=­2  ­y­intercept: 0=­2x+6y=3

×

×

### 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

Steve Martinelli UC Los Angeles

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

Kyle Maynard Purdue

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made \$280 on my first study guide!"

Steve Martinelli UC Los Angeles

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

Parker Thompson 500 Startups

#### "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."

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