Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 1.6, Problem 20HP
a.
To determine
To explain:The data represented in the complete table is a function or not.
a.
Expert Solution
Answer to Problem 20HP
The complete table is provided below,
The data in the table represents the function.
Explanation of Solution
Given information:
The table,
Formula used:
A relation is said to be a function if every element of domain is mapped to exactly one element of range.
Calculation:
Consider the table,
Here the x represent the number that is square of a whole number.
And y represent the positive square root of the number x .
So, square root of 4 is 2, 9 is 3, 16 is 4 and 36 is 6.
Also square of 5 is 25. Therefore, complete table is.
Recall that relation is said to be a function if every element of domain is mapped to exactly one element of range.
The elements of domain are
Each member of domain is mapped to exactly one element of range. Therefore, it represent a function.
b.
To determine
To graph: The
b.
Expert Solution
Explanation of Solution
Given information:
The data is provided below.
Graph:
When the relationship between two data sets is to be analyzed scatter plot is used.
Provided two data sets. Here the x represent the number that is square of a whole number.
And y represent the positive square root of the number x .
On the x -axis of coordinate plane denote the number from 1 to 40.
On y -axis plot denote the number from 1 to 6.
The scatter plot of the data is provided below,
Interpretation:
It is observed as the square of whole number increases its square root value also increases that is there is a strong positive linear relationship between x and y .
c.
To determine
To explain:The data represented in the complete table when the x and y coordinates are revered is a function or not.
c.
Expert Solution
Answer to Problem 20HP
The complete table is provided below,
The data in the table represents the function.
Explanation of Solution
Given information:
The table,
Formula used:
A relation is said to be a function if every element of domain is mapped to exactly one element of range.
Calculation:
Consider the table,
Here the x represent the number that is square of a whole number.
And y represent the positive square root of the number x .
Now, reverse the x and y coordinates.
So, square root of 4 is 2, 9 is 3, 16 is 4 and 36 is 6.
Also square of 5 is 25. Therefore, complete table is.
Recall that relation is said to be a function if every element of domain is mapped to exactly one element of range.
The elements of domain are
Each member of domain is mapped to exactly one element of range. Therefore, it represent a function.
d.
To determine
To graph: The scatter plot between whole number and square value of the whole number.
d.
Expert Solution
Explanation of Solution
Given information:
The data is provided below.
Graph:
When the relationship between two data sets is to be analyzed scatter plot is used.
Provided two data sets. Here the x represent the whole number.
And y represent the square value of the number x .
On the x -axis of coordinate plane denote the number from 1 to 6.
On y -axis plot denote the number from 1 to 40.
The scatter plot of the data is provided below,
Interpretation:
It is observed as the whole number increases its square value also increases that is there is a strong positive linear relationship between x and y .
Chapter 1 Solutions
Pre-Algebra Student Edition
Ch. 1.1 - Prob. 1AGPCh. 1.1 - Prob. 1BGPCh. 1.1 - Prob. 2AGPCh. 1.1 - Prob. 2BGPCh. 1.1 - Prob. 2CGPCh. 1.1 - Prob. 2DGPCh. 1.1 - Prob. 3GPCh. 1.1 - Prob. 1CYUCh. 1.1 - Prob. 2CYUCh. 1.1 - Prob. 3CYU
Ch. 1.1 - Prob. 4CYUCh. 1.1 - Prob. 5CYUCh. 1.1 - Prob. 6CYUCh. 1.1 - Prob. 7CYUCh. 1.1 - Prob. 8CYUCh. 1.1 - Prob. 9CYUCh. 1.1 - Prob. 10CYUCh. 1.1 - Prob. 11CYUCh. 1.1 - Prob. 12PPSCh. 1.1 - Prob. 13PPSCh. 1.1 - Prob. 14PPSCh. 1.1 - Prob. 15PPSCh. 1.1 - Prob. 16PPSCh. 1.1 - Prob. 17PPSCh. 1.1 - Prob. 18PPSCh. 1.1 - Prob. 19PPSCh. 1.1 - Prob. 20PPSCh. 1.1 - Prob. 21PPSCh. 1.1 - Prob. 22PPSCh. 1.1 - Prob. 23PPSCh. 1.1 - Prob. 24PPSCh. 1.1 - Prob. 25PPSCh. 1.1 - Prob. 26PPSCh. 1.1 - Prob. 27PPSCh. 1.1 - Prob. 28PPSCh. 1.1 - Prob. 29PPSCh. 1.1 - Prob. 30PPSCh. 1.1 - Prob. 31PPSCh. 1.1 - Prob. 32PPSCh. 1.1 - Prob. 33PPSCh. 1.1 - Prob. 34HPCh. 1.1 - Prob. 35HPCh. 1.1 - Prob. 36HPCh. 1.1 - Prob. 37HPCh. 1.1 - Prob. 38HPCh. 1.1 - Prob. 39STPCh. 1.1 - Prob. 40STPCh. 1.1 - Prob. 41STPCh. 1.1 - Prob. 42STPCh. 1.2 - Prob. 1AGPCh. 1.2 - Prob. 1BGPCh. 1.2 - Prob. 2AGPCh. 1.2 - Prob. 2BGPCh. 1.2 - Prob. 3AGPCh. 1.2 - Prob. 3BGPCh. 1.2 - Prob. 3CGPCh. 1.2 - Prob. 4GPCh. 1.2 - Prob. 1CYUCh. 1.2 - Prob. 2CYUCh. 1.2 - Prob. 3CYUCh. 1.2 - Prob. 4CYUCh. 1.2 - Prob. 5CYUCh. 1.2 - Prob. 6CYUCh. 1.2 - Prob. 7CYUCh. 1.2 - Prob. 8CYUCh. 1.2 - Prob. 9CYUCh. 1.2 - Prob. 10CYUCh. 1.2 - Prob. 11CYUCh. 1.2 - Prob. 12PPSCh. 1.2 - Prob. 13PPSCh. 1.2 - Prob. 14PPSCh. 1.2 - Prob. 15PPSCh. 1.2 - Prob. 16PPSCh. 1.2 - Prob. 17PPSCh. 1.2 - Prob. 18PPSCh. 1.2 - Prob. 19PPSCh. 1.2 - Prob. 20PPSCh. 1.2 - Prob. 21PPSCh. 1.2 - Prob. 22PPSCh. 1.2 - Prob. 23PPSCh. 1.2 - Prob. 24PPSCh. 1.2 - Prob. 25PPSCh. 1.2 - Prob. 26PPSCh. 1.2 - Prob. 27PPSCh. 1.2 - Prob. 28PPSCh. 1.2 - Prob. 29PPSCh. 1.2 - Prob. 30PPSCh. 1.2 - Prob. 31PPSCh. 1.2 - Prob. 32PPSCh. 1.2 - Prob. 33PPSCh. 1.2 - Prob. 34PPSCh. 1.2 - Prob. 35PPSCh. 1.2 - Prob. 36PPSCh. 1.2 - Prob. 37PPSCh. 1.2 - Prob. 38PPSCh. 1.2 - Prob. 39PPSCh. 1.2 - Prob. 40HPCh. 1.2 - Prob. 41HPCh. 1.2 - Prob. 42HPCh. 1.2 - Prob. 43HPCh. 1.2 - Prob. 44HPCh. 1.2 - Prob. 45STPCh. 1.2 - Prob. 46STPCh. 1.2 - Prob. 47STPCh. 1.2 - Prob. 48STPCh. 1.2 - Prob. 49SRCh. 1.2 - Prob. 50SRCh. 1.2 - Prob. 51SRCh. 1.2 - Prob. 52SRCh. 1.2 - Prob. 53SRCh. 1.2 - Prob. 54SRCh. 1.2 - Prob. 55SRCh. 1.2 - Prob. 56SRCh. 1.2 - Prob. 57SRCh. 1.2 - Prob. 58SRCh. 1.2 - Prob. 59SRCh. 1.2 - Prob. 60SRCh. 1.2 - Prob. 61SCh. 1.2 - Prob. 62SCh. 1.2 - Prob. 63SCh. 1.2 - Prob. 64SCh. 1.3 - Prob. 1GPCh. 1.3 - Prob. 2AGPCh. 1.3 - Prob. 2BGPCh. 1.3 - Prob. 2CGPCh. 1.3 - Prob. 2DGPCh. 1.3 - Prob. 3AGPCh. 1.3 - Prob. 3BGPCh. 1.3 - Prob. 4GPCh. 1.3 - Prob. 1CYUCh. 1.3 - Prob. 2CYUCh. 1.3 - Prob. 3CYUCh. 1.3 - Prob. 4CYUCh. 1.3 - Prob. 5CYUCh. 1.3 - Prob. 6CYUCh. 1.3 - Prob. 7CYUCh. 1.3 - Prob. 8CYUCh. 1.3 - Prob. 9CYUCh. 1.3 - Prob. 10CYUCh. 1.3 - Prob. 11CYUCh. 1.3 - Prob. 12CYUCh. 1.3 - Prob. 13CYUCh. 1.3 - Prob. 14CYUCh. 1.3 - Prob. 15PPSCh. 1.3 - Prob. 16PPSCh. 1.3 - Prob. 17PPSCh. 1.3 - Prob. 18PPSCh. 1.3 - Prob. 19PPSCh. 1.3 - Prob. 20PPSCh. 1.3 - Prob. 21PPSCh. 1.3 - Prob. 22PPSCh. 1.3 - Prob. 23PPSCh. 1.3 - Prob. 24PPSCh. 1.3 - Prob. 25PPSCh. 1.3 - Prob. 26PPSCh. 1.3 - Prob. 27PPSCh. 1.3 - Prob. 28PPSCh. 1.3 - Prob. 29PPSCh. 1.3 - Prob. 30PPSCh. 1.3 - Prob. 31PPSCh. 1.3 - Prob. 32PPSCh. 1.3 - Prob. 33PPSCh. 1.3 - Prob. 34PPSCh. 1.3 - Prob. 35PPSCh. 1.3 - Prob. 36PPSCh. 1.3 - Prob. 37PPSCh. 1.3 - Prob. 38PPSCh. 1.3 - Prob. 39PPSCh. 1.3 - Prob. 40PPSCh. 1.3 - Prob. 41PPSCh. 1.3 - Prob. 42PPSCh. 1.3 - Prob. 43PPSCh. 1.3 - Prob. 44HPCh. 1.3 - Prob. 45HPCh. 1.3 - Prob. 46HPCh. 1.3 - Prob. 47HPCh. 1.3 - Prob. 48HPCh. 1.3 - Prob. 49STPCh. 1.3 - Prob. 50STPCh. 1.3 - Prob. 51STPCh. 1.3 - Prob. 52STPCh. 1.3 - Prob. 53SRCh. 1.3 - Prob. 54SRCh. 1.3 - Prob. 55SRCh. 1.3 - Prob. 56SRCh. 1.3 - Prob. 57SRCh. 1.3 - Prob. 58SRCh. 1.3 - Prob. 59SRCh. 1.3 - Prob. 60SRCh. 1.3 - Prob. 61SRCh. 1.3 - Prob. 62SRCh. 1.3 - Prob. 63SRCh. 1.3 - Prob. 64SCh. 1.3 - Prob. 65SCh. 1.3 - Prob. 66SCh. 1.3 - Prob. 67SCh. 1.3 - Prob. 68SCh. 1.3 - Prob. 69SCh. 1.3 - Prob. 70SCh. 1.3 - Prob. 71SCh. 1.4 - Prob. 1AGPCh. 1.4 - Prob. 1BGPCh. 1.4 - Prob. 1CGPCh. 1.4 - Prob. 1DGPCh. 1.4 - Prob. 2AGPCh. 1.4 - Prob. 2BGPCh. 1.4 - Prob. 3GPCh. 1.4 - Prob. 4AGPCh. 1.4 - Prob. 4BGPCh. 1.4 - Prob. 1CYUCh. 1.4 - Prob. 2CYUCh. 1.4 - Prob. 3CYUCh. 1.4 - Prob. 4CYUCh. 1.4 - Prob. 5CYUCh. 1.4 - Prob. 6CYUCh. 1.4 - Prob. 7CYUCh. 1.4 - Prob. 8CYUCh. 1.4 - Prob. 9CYUCh. 1.4 - Prob. 10CYUCh. 1.4 - Prob. 11CYUCh. 1.4 - Prob. 12PPSCh. 1.4 - Prob. 13PPSCh. 1.4 - Prob. 14PPSCh. 1.4 - Prob. 15PPSCh. 1.4 - Prob. 16PPSCh. 1.4 - Prob. 17PPSCh. 1.4 - Prob. 18PPSCh. 1.4 - Prob. 19PPSCh. 1.4 - Prob. 20PPSCh. 1.4 - Prob. 21PPSCh. 1.4 - Prob. 22PPSCh. 1.4 - Prob. 23PPSCh. 1.4 - Prob. 24PPSCh. 1.4 - Prob. 25PPSCh. 1.4 - Prob. 26PPSCh. 1.4 - Prob. 27PPSCh. 1.4 - Prob. 28PPSCh. 1.4 - Prob. 29PPSCh. 1.4 - Prob. 30PPSCh. 1.4 - Prob. 31PPSCh. 1.4 - Prob. 32PPSCh. 1.4 - Prob. 33PPSCh. 1.4 - Prob. 34PPSCh. 1.4 - Prob. 35PPSCh. 1.4 - Prob. 36HPCh. 1.4 - Prob. 37HPCh. 1.4 - Prob. 38HPCh. 1.4 - Prob. 39HPCh. 1.4 - Prob. 40HPCh. 1.4 - Prob. 41STPCh. 1.4 - Prob. 42STPCh. 1.4 - Prob. 43STPCh. 1.4 - Prob. 44STPCh. 1.4 - Prob. 45SRCh. 1.4 - Prob. 46SRCh. 1.4 - Prob. 47SRCh. 1.4 - Prob. 48SRCh. 1.4 - Prob. 49SRCh. 1.4 - Prob. 50SRCh. 1.4 - Prob. 51SRCh. 1.4 - Prob. 52SCh. 1.4 - Prob. 53SCh. 1.4 - Prob. 54SCh. 1.4 - Prob. 55SCh. 1.4 - Prob. 56SCh. 1.4 - Prob. 57SCh. 1.5 - Prob. 1GPCh. 1.5 - Prob. 2AGPCh. 1.5 - Prob. 2BGPCh. 1.5 - Prob. 1CYUCh. 1.5 - Prob. 2CYUCh. 1.5 - Prob. 3CYUCh. 1.5 - Prob. 4PPSCh. 1.5 - Prob. 5PPSCh. 1.5 - Prob. 6PPSCh. 1.5 - Prob. 7PPSCh. 1.5 - Prob. 8PPSCh. 1.5 - Prob. 9PPSCh. 1.5 - Prob. 10PPSCh. 1.5 - Prob. 11PPSCh. 1.5 - Prob. 12HPCh. 1.5 - Prob. 13HPCh. 1.5 - Prob. 14HPCh. 1.5 - Prob. 15STPCh. 1.5 - Prob. 16STPCh. 1.5 - Prob. 17STPCh. 1.5 - Prob. 18STPCh. 1.5 - Prob. 19SRCh. 1.5 - Prob. 20SRCh. 1.5 - Prob. 21SRCh. 1.5 - Prob. 22SRCh. 1.5 - Prob. 23SRCh. 1.5 - Prob. 24SRCh. 1.5 - Prob. 25SRCh. 1.5 - Prob. 26SRCh. 1.5 - Prob. 27SRCh. 1.5 - Prob. 28SRCh. 1.5 - Prob. 29SRCh. 1.5 - Prob. 30SRCh. 1.5 - Prob. 31SRCh. 1.5 - Prob. 32SCh. 1.5 - Prob. 33SCh. 1.5 - Prob. 34SCh. 1.5 - Prob. 35SCh. 1.6 - Prob. 1GPCh. 1.6 - Prob. 2GPCh. 1.6 - Prob. 3AGPCh. 1.6 - Prob. 3BGPCh. 1.6 - Prob. 3CGPCh. 1.6 - Prob. 1CYUCh. 1.6 - Prob. 2PPSCh. 1.6 - Prob. 3PPSCh. 1.6 - Prob. 4PPSCh. 1.6 - Prob. 5PPSCh. 1.6 - Prob. 6PPSCh. 1.6 - Prob. 7PPSCh. 1.6 - Prob. 8PPSCh. 1.6 - Prob. 9PPSCh. 1.6 - Prob. 10PPSCh. 1.6 - Prob. 11PPSCh. 1.6 - Prob. 12PPSCh. 1.6 - Prob. 13PPSCh. 1.6 - Prob. 14PPSCh. 1.6 - Prob. 15PPSCh. 1.6 - Prob. 16HPCh. 1.6 - Prob. 17HPCh. 1.6 - Prob. 18HPCh. 1.6 - Prob. 19HPCh. 1.6 - Prob. 20HPCh. 1.6 - Prob. 21HPCh. 1.6 - Prob. 22HPCh. 1.6 - Prob. 23STPCh. 1.6 - Prob. 24STPCh. 1.6 - Prob. 25STPCh. 1.6 - Prob. 26STPCh. 1.6 - Prob. 27SRCh. 1.6 - Prob. 28SRCh. 1.6 - Prob. 29SRCh. 1.6 - Prob. 30SRCh. 1.6 - Prob. 31SRCh. 1.6 - Prob. 32SRCh. 1.6 - Prob. 33SRCh. 1.6 - Prob. 34SCh. 1.6 - Prob. 35SCh. 1.6 - Prob. 36SCh. 1.6 - Prob. 37SCh. 1.6 - Prob. 38SCh. 1.6 - Prob. 39SCh. 1 - Prob. 1QCCh. 1 - Prob. 2QCCh. 1 - Prob. 3QCCh. 1 - Prob. 4QCCh. 1 - Prob. 5QCCh. 1 - Prob. 6QCCh. 1 - Prob. 7QCCh. 1 - Prob. 8QCCh. 1 - Prob. 9QCCh. 1 - Prob. 10QCCh. 1 - Prob. 11QCCh. 1 - Prob. 12QCCh. 1 - Prob. 13QCCh. 1 - Prob. 14QCCh. 1 - Prob. 15QCCh. 1 - Prob. 16QCCh. 1 - Prob. 17QCCh. 1 - Prob. 18QCCh. 1 - Prob. 19QCCh. 1 - Prob. 1MCQCh. 1 - Prob. 2MCQCh. 1 - Prob. 3MCQCh. 1 - Prob. 4MCQCh. 1 - Prob. 5MCQCh. 1 - Prob. 6MCQCh. 1 - Prob. 7MCQCh. 1 - Prob. 8MCQCh. 1 - Prob. 9MCQCh. 1 - Prob. 10MCQCh. 1 - Prob. 11MCQCh. 1 - Prob. 12MCQCh. 1 - Prob. 13MCQCh. 1 - Prob. 14MCQCh. 1 - Prob. 15MCQCh. 1 - Prob. 16MCQCh. 1 - Prob. 17MCQCh. 1 - Prob. 18MCQCh. 1 - Prob. 19MCQCh. 1 - Prob. 20MCQCh. 1 - Prob. 21MCQCh. 1 - Prob. 22MCQCh. 1 - Prob. 23MCQCh. 1 - Prob. 24MCQCh. 1 - Prob. 25MCQCh. 1 - Prob. 1SGRCh. 1 - Prob. 2SGRCh. 1 - Prob. 3SGRCh. 1 - Prob. 4SGRCh. 1 - Prob. 5SGRCh. 1 - Prob. 6SGRCh. 1 - Prob. 7SGRCh. 1 - Prob. 8SGRCh. 1 - Prob. 9SGRCh. 1 - Prob. 10SGRCh. 1 - Prob. 11SGRCh. 1 - Prob. 12SGRCh. 1 - Prob. 13SGRCh. 1 - Prob. 14SGRCh. 1 - Prob. 15SGRCh. 1 - Prob. 16SGRCh. 1 - Prob. 17SGRCh. 1 - Prob. 18SGRCh. 1 - Prob. 19SGRCh. 1 - Prob. 20SGRCh. 1 - Prob. 21SGRCh. 1 - Prob. 22SGRCh. 1 - Prob. 23SGRCh. 1 - Prob. 24SGRCh. 1 - Prob. 25SGRCh. 1 - Prob. 26SGRCh. 1 - Prob. 27SGRCh. 1 - Prob. 28SGRCh. 1 - Prob. 29SGRCh. 1 - Prob. 30SGRCh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 6PTCh. 1 - Prob. 7PTCh. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - Prob. 12PTCh. 1 - Prob. 13PTCh. 1 - Prob. 14PTCh. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 1ECh. 1 - Prob. 2ECh. 1 - Prob. 3ECh. 1 - Prob. 4ECh. 1 - Prob. 1STPCh. 1 - Prob. 2STPCh. 1 - Prob. 3STPCh. 1 - Prob. 4STPCh. 1 - Prob. 5STPCh. 1 - Prob. 6STPCh. 1 - Prob. 7STPCh. 1 - Prob. 8STPCh. 1 - Prob. 9STPCh. 1 - Prob. 10STPCh. 1 - Prob. 11STP
Additional Math Textbook Solutions
Find more solutions based on key concepts
Shipping crates A square-based, box-shaped shipping crate is designed to have a volume of l6 ft3. The material ...
Calculus: Early Transcendentals (2nd Edition)
Assessment 1-1A In a big red box, there are 7 smaller blue boxes. In each of the blue boxes, there are 7 black ...
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
1. combination of numbers, variables, and operation symbols is called an algebraic______.
Algebra and Trigonometry (6th Edition)
In hypothesis testing, the common level of significance is =0.05. Some might argue for a level of significance ...
Basic Business Statistics, Student Value Edition
Suppose you toss one coin three times in a row and get heads, tails, heads (HTH). If you are interested in the ...
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- How long is a guy wire reaching from the top of a 15-foot pole to a point on the ground 9-feet from the pole? Question content area bottom Part 1 The guy wire is exactly feet long. (Type an exact answer, using radicals as needed.) Part 2 The guy wire is approximatelyfeet long. (Round to the nearest thousandth.)arrow_forwardQuestion 6 Not yet answered Marked out of 5.00 Flag question = If (4,6,-11) and (-12,-16,4), = Compute the cross product vx w karrow_forwardConsider the following vector field v^-> (x,y): v^->(x,y)=2yi−xj What is the magnitude of the vector v⃗ located in point (13,9)? [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]arrow_forward
- Question 4 Find the value of the first element for the first row of the inverse matrix of matrix B. 3 Not yet answered B = Marked out of 5.00 · (³ ;) Flag question 7 [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places] Answer:arrow_forwardQuestion 2 Not yet answered Multiply the following Matrices together: [77-4 A = 36 Marked out of -5 -5 5.00 B = 3 5 Flag question -6 -7 ABarrow_forwardAssume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the abovearrow_forward
- Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forwardWhich of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward
- (20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forwardFind the perimeter and areaarrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSON
Contemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSON
Introduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY