×

### Let's log you in.

or

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

×

or

## Higher Mathematics for Engineers and Scientists I

by: Ms. Ally Koelpin

23

0

3

# Higher Mathematics for Engineers and Scientists I MATH 3350

Marketplace > Texas Tech University > Mathematics (M) > MATH 3350 > Higher Mathematics for Engineers and Scientists I
Ms. Ally Koelpin
TTU
GPA 3.62

Kevin Richard Long

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

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

×
Unlock Preview

COURSE
PROF.
Kevin Richard Long
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 3 page Class Notes was uploaded by Ms. Ally Koelpin on Thursday October 22, 2015. The Class Notes belongs to MATH 3350 at Texas Tech University taught by Kevin Richard Long in Fall. Since its upload, it has received 23 views. For similar materials see /class/226463/math-3350-texas-tech-university in Mathematics (M) at Texas Tech University.

×

## Reviews for Higher Mathematics for Engineers and Scientists I

×

×

### 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: 10/22/15
How to define a function based on Mathematica s solution to an algebraic equation Notes for Math 3350 Fall 2008 Prof Kevin Long We ll set up an algebraic equation H01 Gx and solve it for y The equation in this example will have multiple solutions We ll choose the positivevalued solution and then use that positive solution to define aMathematica function yx Some of the syntax will seem a little strange at first so I ll walk you through this example step by step so you can get used to how to work with solutions to algebraic equations Start by defining H01 paying careful attention to the use of the underscore quot7quot after the variable name in the definition Hy f4 YAZ y y2 and then define Gx Gx x Sin4 x x sin4 x Create an expression representing the algebraic equation H01 Gx Note carefully the use of the double equals sign quot for the equality and the single equals sign quotquot for the assignment algEqn Hy Gx y4 yZ x sin4x To solve the equation use the Solve function The syntax quotSolvealgEqn y means to solve the equation algEqn for the variable y The equation will have multiple solutions it is a 4th degree polynomial equation in y and so will have 4 solutions The multiple solutions are returned as a list Only one of these solutions will be positive for x 2 0 allSolns SolvealgEq n Y V V4x4sm4x1 1 V 4x4sin4x1 1 1 MW gt V V 1 1 1 1 y gt EJ4X4SIH4X1 Ey gt Ex 4x4s1n4x1 Noticethatv 4x4sin4x 1 21 forallxz 0 Consequently for x 2 0 the contenm of the outer radical are negative for the first two solutions and positive for the last two solutions Therefore the rst two solutions are imaginary while the last two are real Of the real solutions the third is negative and the fourth is positive Therefore we select the fourth solution as the positive solution 2 AlgExampede nb posSoln allSolns 4 1 1 4x4sin4xl 2 2 This is where the syntax gets a bit odd The positive solution was returned as y gt V 4x 4 sin4x 1 which is a rule orsu st1tut1 4x4sin4xl or man ex ress1on oa esu stitution e ouuse esas ot f bquotng fy39yp39Tpplyth bquotruly thlhdquotquot operator For example to substitute the solution in for y in the expression y2 2y you would do the following YAZ 2y posSoln 1 Ex 4x4sin4x1 2 l l l 4x4sin4x1 2 2 2 To use the solution in the definition of a function yx you would write yx y and then substitute the solution for y on the RHS Here s how it works yx y posSoln l l 4x4sin4x1 2 2 This is now a function and you can do anything with it you d do with any other function such as plotting it Plotyx x 039 10 PlotRange gt All39 Frame gt True PlotLabel gt quotAlgebraic Solution Examplequot FrameLabel gt x y Algebraic Solution Example i i i i i l 5 i i l 0 i A 0 5 7 0 0 1 i i i i i 0 2 4 6 8 10 You can compute its exact value at a specified x such as 7r 3 yPi3 or compute a numerical value AlgExampede nb 3 NYPi 3 0395774 You can differentiate it D YX X 16 cos4 x 4 84x4sin4x14x4sin4x and do integrals involving it such as fyx2 16 cos 4 x 4 dx Integrateyx A2 16 Cos4 x 4 x l 2 2 x sin4x g4x 14x4sin4x1 gsin4x4x4sin4x 1 Question why didn tl do the integral fyx dx in this example

×

×

### 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

Bentley McCaw University of Florida

#### "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!"

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!"

Bentley McCaw University of Florida

#### "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!"

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