×

### Let's log you in.

or

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

×

or

48

0

6

# Class Note for MATH 1314 with Professor Gross at UH

Marketplace > University of Houston > Class Note for MATH 1314 with Professor Gross at UH

No professor available

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.
No professor available
TYPE
Class Notes
PAGES
6
WORDS
KARMA
25 ?

## Popular in Department

This 6 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 48 views.

×

## Reviews for Class Note for MATH 1314 with Professor Gross at UH

×

×

### 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: 02/06/15
M1314 Lesson20 I 2 I 1 3 u u 3 Example 2 Evaluate xzex dx 2 gig 3 e o 0 O 3 MIX 7 Xo uC03o V5 6 66 dun3Xle x qC031 gc Y3 du2dex 7 S1 2 30 3 Example3 Evaluate x dx 1 650 du 3 Vllul a 13x36 3 UFE X 9 X1 M 30319 1 1 555 MW m ow Glxzzdx gtlt z u 3ltzgtltn30 y owaxdx 39 4W3O39Jofm M1314 Lesson 20 3 Applications Example 4 A company purchases a new machine for which the rate of depreciation is given by 10000t 6 How much value is lost over the first three years that the machine is in use C D lOJOOoiuanlooo 393 3 2 JO IOIQQO E39CDOOOOgt0quotE LOLltEoooo10 1 5000 331 4on 3 0 WINK WNW 89000 Example 5 Suppose you are driving a car and that your velocity can be approximated by vt 2tV25 t2 where tis measured in seconds and vis measured in feet per second How far will you travel in the 5 seconds from t 0 to t 5 92 0 9le 455M363 u 251 tto QCZS Z z S u 252037130 dq t L 3 wow 2 5 if 3 c 05 27 M1314 Lesson 20 4 Example 6 The marginal daily profit function associated with production and sales of a video game is estimated to be P39x 0003x2 04x 17 where xis the number of units produced and sold daily and P39x is measured in dollars per unit Find the additional daily profit realizable if production and sales is increased from 200 units per day to 300 units per day 300 3 2 3m 7 6000 25x 4r 04 x4 n3ch 3333 439 quotL x 200 m 39 F 397 03 02909 3 30 X I l OOOX J OZX k 2000 500 39439 Alizoa 139 ZCZ gt 39 The Average Value of a Function We can use the definite integral to find the average value of a function Suppose fis an integrable function on the interval a b Then j fxdx This the average value of fover the interval is b 1 is what average value represents F00 W k award 3p l n y I q 30 M1314 Lesson 20 5 Example 7 Find the average value of fx J over the interval 1 16 Example 8 Find the average value of fx x2 3x Son 2 5 K 5043 XSgtdx 6 jgigq Sx 2 Je e21 scsv lt2 m1 3 V3 2293 7 S 7 M1314 Lesson 20 6 Example 9 The sales of ABC Company in the first tyears of its operation is approximated by the function St tw02t2 4 where St is measured in millions of dollars What were the compa ny s Mover its years of operation a 15 quotl V 34 L 1 s t gelH0 0M3 814 U at v 5 o l 2 o 2 59 LA alt Z L gap I X20 u l239l l uh x5 q 2Cs7 lOl d Jquot U321 39 5dqte E Z 92 I 31 Z Z iZC3gtU 14 39Hion on 1 W i3 Lo 3 e quqrofyt SqKQgt over khz 4 NS 5 CDQQIS From this lesson you should be able to Use 1e FI39OC to compute de nite integrals including problems that require substitution De ne average value Use 1e FI39OC to nd average value Solve word problems using FI39OC M1314 Lesson 20 1 Math 1314 Lesson 20 Evaluating Definite Integrals We will sometimes need these properties when computing definite integrals Properties of Definite Integrals Suppose fand gare integrable functions Then 1 f fxdx 0 N y fxdx fxdx w f2cfxdx c fxdx h I2fx gx1dx J2fxdx 139xdx U1 f2fxdx I fxdx 13fxdx where a lt c lt b We will need to use substitution to evaluate some problems 0 3 a g c Example 1 Evaluate f4xx2 3fdx I 2 5 U olu 2 1 0 3 LP 3 9 9 91 9 U x3 Xo uo3 3 Z q L9 X3 LAC3gt3L lS SSZ Zq3 qu 1xax 515

×

×

### 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!"

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

#### "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."

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