   Chapter 10.3, Problem 90E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Processor Speeds The processor speeds, in megahertz (MHz), of Intel processors during the period 1970–2000 can be approximated by the following function of time t in years since the start of 1970: v ( t ) = { 3 t                        if 0 ≤ t < 20 174 t − 3 , 420       if 20 ≤ t ≤ 30. a. Compute lim t → 20 − v ( t ) and lim t → 20 + v ( t ) , and interpret each answer.b. Is the function v continuous at t = 20 ? According to the model, was there any abrupt change in processor speeds during the period 1970–2000?

(a)

To determine

To calculate: The limits limt20v(t) and limt20+v(t), if the speed of processor during the period 19702000 is approximated by a function of time (t) as v(t)={3t                 if 0t<20174t3420  if 20t30 and also interpret the answer.

Explanation

Given Information:

The speed of a processor during the period 19702000 is approximated by a function of time (t) as v(t)={3t                 if 0t<20174t3420  if 20t30

Formula used:

Continuity of closed form function theorem:

Every function that is closed is continuous on its domain.

If limxaf(x) exists and f(a) is defined, then

limxaf(x)=f(a)

Calculation:

Consider the function v(t)={3t                 if 0t<20174t3420  if 20t30.

Consider the right limit:

The closed-form function 174t3420 exists when t20

(b)

To determine

Whether the function v(t)={3t                 if 0t<20174t3420  if 20t30 is continuous or not at t=20 and whether there was any abrupt change in speed of processor during 19702000.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

A population of N = 7 scores has a mean of = 13. What is the value of X for this population?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Fill in each blank: 1metricton=kg

Elementary Technical Mathematics

Find for x = 3t2 + 1, y = t6 + 6t5. t4 + 5t3 4t3 + 15t2

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 