
INTEGRATED REV.F/BEG.+INT.ALG.W/ACC.>C<
18th Edition
ISBN: 9781323910528
Author: Lial
Publisher: PEARSON C
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Textbook Question
Chapter 3.3, Problem 54E
Find the slope of each line. See Example 5.
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(a)
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de
unique?
Answer the following questions related to the linear system
x + y + z = 2
x-y+z=0
2x + y 2 3
rewrite the linear system into the matrix-vector form A = 5
Fuse elementary row operation to solve this linear system. Is the solution
use elementary row operation to find the inverse of A and then solve
the linear system. Verify the solution is the same as (b).
give the null space of matrix A and find the dimension of null space.
give the column space of matrix A and find the dimension of the column
space of A (Hint: use Rank-Nullity Theorem).
please explain in a clear way
Chapter 3 Solutions
INTEGRATED REV.F/BEG.+INT.ALG.W/ACC.>C<
Ch. 3.1 - Concept Check Complete each statement. The symbol...Ch. 3.1 - Prob. 2ECh. 3.1 - Concept Check Complete each statement. The point...Ch. 3.1 - Concept Check Complete each statement.
4. The...Ch. 3.1 - Concept Check Complete each statement. The ordered...Ch. 3.1 - Concept Check Complete each statement.
6. The...Ch. 3.1 - Prob. 7ECh. 3.1 - Concept Check Fill in each blank with the word...Ch. 3.1 - Prob. 9ECh. 3.1 - Concept Check Fill in each blank with the word...
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - The line graph shows the overall unemployment rate...Ch. 3.1 - Prob. 15ECh. 3.1 - The line graph shows the overall unemployment rate...Ch. 3.1 - Decide whether the given ordered pair is a...Ch. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Decide whether the given ordered pair is a...Ch. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Decide whether the given ordered pair is a...Ch. 3.1 - Decide whether the given ordered pair is a...Ch. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Decide whether the given ordered pair is a...Ch. 3.1 - Prob. 29ECh. 3.1 - Complete each ordered pair for the equation...Ch. 3.1 - Complete each ordered pair for the equation...Ch. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Complete each ordered pair for the equation y=4x4....Ch. 3.1 - Prob. 35ECh. 3.1 - Complete each ordered pair for the equation y=4x4....Ch. 3.1 - Prob. 37ECh. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Prob. 39ECh. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Prob. 45ECh. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Prob. 47ECh. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Give ordered pairs for the points labeled A–H in...Ch. 3.1 - Prob. 52ECh. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Plot and label each point in a rectangular...Ch. 3.1 - Plot and label each point in a rectangular...Ch. 3.1 - Plot and label each point in a rectangular...Ch. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - Plot and label each point in a rectangular...Ch. 3.1 - Prob. 65ECh. 3.1 - Plot and label each point in a rectangular...Ch. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Plot and label each point in a rectangular...Ch. 3.1 - Prob. 70ECh. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Complete the table of values for each equation....Ch. 3.1 - Complete the table of values for each equation....Ch. 3.1 - 77. Look at the graphs of the ordered pairs in...Ch. 3.1 - 78. A line through the plotted points in Exercise...Ch. 3.1 - Prob. 79ECh. 3.1 - Solve each problem. See Example 6.
81. The table...Ch. 3.1 - Solve each problem. See Example 6. The table shows...Ch. 3.1 - Prob. 82ECh. 3.1 - Solve each problem. See Example 6. The maximum...Ch. 3.1 - Prob. 84ECh. 3.1 - Solve each problem. See Example 6.
85. See...Ch. 3.1 - Prob. 86ECh. 3.2 - Concept Check Fill in each blank with the correct...Ch. 3.2 - Concept Check Fill in each blank with the correct...Ch. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Concept Check Identify the intercepts of each...Ch. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Concept Check Match each equation in (a)(d) with...Ch. 3.2 - Prob. 10ECh. 3.2 - Complete the given ordered-pair solutions for each...Ch. 3.2 - Prob. 12ECh. 3.2 - Complete the given ordered-pair solutions for each...Ch. 3.2 - Prob. 14ECh. 3.2 - Complete the given ordered-pair solutions for each...Ch. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Find the x- and y-intercepts for the graph of each...Ch. 3.2 - Prob. 20ECh. 3.2 - Find the x- and y-intercepts for the graph of each...Ch. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Find the x- and y-intercepts for the graph of each...Ch. 3.2 - Prob. 25ECh. 3.2 - Find the x- and y-intercepts for the graph of each...Ch. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Find the x- and y-intercepts for the graph of each...Ch. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Graph each linear equation. See Examples 17. xy=4Ch. 3.2 - Graph each linear equation. See Examples 17. xy=5Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Graph each linear equation. See Examples 17. y=2x5Ch. 3.2 - Prob. 38ECh. 3.2 - Graph each linear equation. See Examples 17. x=y+2Ch. 3.2 - Prob. 40ECh. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Graph each linear equation. See Examples 17....Ch. 3.2 - Graph each linear equation. See Examples 17....Ch. 3.2 - Graph each linear equation. See Examples 17....Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Prob. 50ECh. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Graph each linear equation. See Examples 17. x=1Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Prob. 57ECh. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Prob. 59ECh. 3.2 - Graph each linear equation. See Examples...Ch. 3.2 - Prob. 61ECh. 3.2 - Concept Check Describe what the graph of each...Ch. 3.2 - Prob. 63ECh. 3.2 - Prob. 64ECh. 3.2 - Concept Check Describe what the graph of each...Ch. 3.2 - Prob. 66ECh. 3.2 - Concept Check Describe what the graph of each...Ch. 3.2 - Concept Check Describe what the graph of each...Ch. 3.2 - Prob. 69ECh. 3.2 - Extending Skills Plot each set of points, and draw...Ch. 3.2 - Prob. 71ECh. 3.2 - Prob. 72ECh. 3.2 - Solve each problem. See Example 8.
73. The weight...Ch. 3.2 - Prob. 74ECh. 3.2 - Prob. 75ECh. 3.2 - Solve each problem. See Example 8. A gas station...Ch. 3.2 - Prob. 77ECh. 3.2 - Solve each problem. See Example 8. Demand for an...Ch. 3.2 - Prob. 79ECh. 3.2 - Prob. 80ECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Concept Check Find each slope. What is the slope...Ch. 3.3 - Prob. 22ECh. 3.3 - Use the coordinates of the indicated points to...Ch. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Use the coordinates of the indicated points to...Ch. 3.3 - Use the coordinates of the indicated points to...Ch. 3.3 - Prob. 28ECh. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Prob. 41ECh. 3.3 - Find the slope of the line passing through each...Ch. 3.3 - Find the slope of each line. See Example 5....Ch. 3.3 - Find the slope of each line. See Example 5. y=2x+3Ch. 3.3 - Prob. 45ECh. 3.3 - Find the slope of each line. See Example 5.
46.
Ch. 3.3 - Find the slope of each line. See Example 5. 3x2y=3Ch. 3.3 - Find the slope of each line. See Example 5.
48.
Ch. 3.3 - Find the slope of each line. See Example 5....Ch. 3.3 - Find the slope of each line. See Example 5....Ch. 3.3 - Find the slope of each line. See Example 5.
51.
Ch. 3.3 - Prob. 52ECh. 3.3 - Find the slope of each line. See Example 5. y=5Ch. 3.3 - Find the slope of each line. See Example 5.
54.
Ch. 3.3 - Prob. 55ECh. 3.3 - Find the slope of each line. See Example 5.
56.
Ch. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Find the slope of each line in two ways by doing...Ch. 3.3 - Prob. 60ECh. 3.3 - Each table of values gives several points that lie...Ch. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Prob. 64ECh. 3.3 - Prob. 65ECh. 3.3 - Concept Check Answer each question. What is the...Ch. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - For each pair of equations, give the slopes of the...Ch. 3.3 - Prob. 70ECh. 3.3 - Prob. 71ECh. 3.3 - For each pair of equations, give the slopes of the...Ch. 3.3 - Prob. 73ECh. 3.3 - Prob. 74ECh. 3.3 - For each pair of equations, give the slopes of the...Ch. 3.3 - For each pair of equations, give the slopes of the...Ch. 3.3 - Prob. 77ECh. 3.3 - Prob. 78ECh. 3.3 - RELATING CONCEPTS For Individual or Group Work...Ch. 3.3 - RELATING CONCEPTS For Individual or Group Work...Ch. 3.3 - Prob. 81ECh. 3.3 - Prob. 82ECh. 3.3 - Prob. 83ECh. 3.3 - RELATING CONCEPTS For Individual or Group Work...Ch. 3.4 - Concept Check Fill in each blank with the correct...Ch. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Identify the slope and y-intercept of the line...Ch. 3.4 - Identify the slope and y-intercept of the line...Ch. 3.4 - Prob. 8ECh. 3.4 - Identify the slope and y-intercept of the line...Ch. 3.4 - Identify the slope and y-intercept of the line...Ch. 3.4 - Graph the equation of each line using the slope...Ch. 3.4 - Graph the equation of each line using the slope...Ch. 3.4 - Graph the equation of each line using the slope...Ch. 3.4 - Graph the equation of each line using the slope...Ch. 3.4 - Graph the equation of each line using the slope...Ch. 3.4 - Graph the equation of each line using the slope...Ch. 3.4 - Graph the equation of each line using the slope...Ch. 3.4 - Graph the equation of each line using the slope...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Graph each line passing through the given point...Ch. 3.4 - Concept Check Answer each question. What is the...Ch. 3.4 - Prob. 34ECh. 3.4 - Use the geometric interpretation of slope (rise...Ch. 3.4 - Use the geometric interpretation of slope (“rise...Ch. 3.4 - Use the geometric interpretation of slope (rise...Ch. 3.4 - Use the geometric interpretation of slope (“rise...Ch. 3.4 - Prob. 39ECh. 3.4 - Use the geometric interpretation of slope (“rise...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Prob. 55ECh. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Prob. 59ECh. 3.4 - Write an equation in slope-intercept form (if...Ch. 3.4 - Prob. 61ECh. 3.4 - Each table of values gives several points that lie...Ch. 3.4 - Each table of values gives several points that lie...Ch. 3.4 - Each table of values gives several points that lie...Ch. 3.4 - Prob. 65ECh. 3.4 - Extending Skills Solve each problem. The cost to...Ch. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - RELATING CONCEPTS For Individual or Group Work...Ch. 3.4 - Prob. 70ECh. 3.4 - Prob. 71ECh. 3.4 - RELATING CONCEPTS For Individual or Group Work...Ch. 3.5 - Prob. 1ECh. 3.5 - Concept Check Work each problem.
2. Write the...Ch. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Prob. 12ECh. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Prob. 19ECh. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the line passing through the...Ch. 3.5 - Write an equation of the given line through the...Ch. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Extending Skills Write an equation of the line...Ch. 3.5 - Prob. 33ECh. 3.5 - Extending Skills Write an equation of the line...Ch. 3.5 - Solve each problem. See Example 3.
35. The table...Ch. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - The points on the graph indicate years of life...Ch. 3.5 - The points on the graph indicate years of life...Ch. 3 - See how well you have learned the vocabulary in...Ch. 3 - Prob. 2TYWPCh. 3 - Prob. 3TYWPCh. 3 - Prob. 4TYWPCh. 3 - Prob. 5TYWPCh. 3 - Prob. 6TYWPCh. 3 - 3.1 Complete the given ordered pairs for each...Ch. 3 - 3.1 Complete the given ordered pairs for each...Ch. 3 - 3.1 Complete the given ordered pairs for each...Ch. 3 - 3.1 Complete the given ordered pairs for each...Ch. 3 - Decide whether the given ordered pair is a...Ch. 3 - Decide whether the given ordered pair is a...Ch. 3 - Decide whether the given ordered pair is a...Ch. 3 - Prob. 8RECh. 3 - Identify the quadrant in which each point is...Ch. 3 - Identify the quadrant in which each point is...Ch. 3 - Prob. 11RECh. 3 - Identify the quadrant in which each point is...Ch. 3 - 3.2 Find the x- and y-intercepts for the graph of...Ch. 3 - 3.2 Find the x- and y-intercepts for the graph of...Ch. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - 3.3 Find the slope of each line. (In Exercises 26...Ch. 3 - Prob. 19RECh. 3 - 3.3 Find the slope of each line. (In Exercises 26...Ch. 3 - Prob. 21RECh. 3 - 3.3 Find the slope of each line. (In Exercises 26...Ch. 3 - 3.3 Find the slope of each line. (In Exercises 26...Ch. 3 - Prob. 24RECh. 3 - 25. Find each slope.
a. A line whose graph is...Ch. 3 - Prob. 26RECh. 3 - Decide whether each pair of lines is parallel,...Ch. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - 3.4,3.5 Write an equation of each line. Give the...Ch. 3 - 3.4,3.5 Write an equation of each line. Give the...Ch. 3 - 3.4,3.5 Write an equation of each line. Give the...Ch. 3 - 3.4,3.5 Write an equation of each line. Give the...Ch. 3 - 3.4,3.5 Write an equation of each line. Give the...Ch. 3 - 3.4,3.5 Write an equation of each line. Give the...Ch. 3 - 3.4,3.5 Write an equation of each line. Give the...Ch. 3 - Prob. 1MRECh. 3 - Prob. 2MRECh. 3 - Prob. 3MRECh. 3 - Prob. 4MRECh. 3 - Prob. 5MRECh. 3 - Prob. 6MRECh. 3 - Prob. 7MRECh. 3 - Prob. 8MRECh. 3 - Prob. 9MRECh. 3 - Prob. 10MRECh. 3 - Prob. 11MRECh. 3 - Prob. 12MRECh. 3 - Prob. 13MRECh. 3 - Prob. 14MRECh. 3 - Prob. 15MRECh. 3 - Prob. 16MRECh. 3 - Prob. 17MRECh. 3 - Prob. 18MRECh. 3 - Prob. 1TCh. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Prob. 5TCh. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Find the slope of each line. (In Exercise 13,...Ch. 3 - Find the slope of each line. (In Exercise 13,...Ch. 3 - Prob. 11TCh. 3 - Find the slope of each line. (In Exercise 13,...Ch. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - Write an equation of each line. Give the final...Ch. 3 - Write an equation of each line. Give the final...Ch. 3 - The graph shows worldwide snowmobile sales y for...Ch. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - The graph shows worldwide snowmobile sales y for...Ch. 3 - Perform each indicated operation. 10583110Ch. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Perform each indicated operation.
4.
Ch. 3 - Prob. 5CRECh. 3 - Perform each indicated operation. Find the value...Ch. 3 - Prob. 7CRECh. 3 - Perform each indicated operation.
8. Simplifyby...Ch. 3 - Solve. V=13r2hforhCh. 3 - Prob. 10CRECh. 3 - Prob. 11CRECh. 3 - Solve.
12.
Ch. 3 - Prob. 13CRECh. 3 - Prob. 14CRECh. 3 - Prob. 15CRECh. 3 - Prob. 16CRECh. 3 - Prob. 17CRECh. 3 - Prob. 18CRECh. 3 - Prob. 19CRECh. 3 - Prob. 20CRECh. 3 - Prob. 21CRECh. 3 - Consider the linear equation. Find the...Ch. 3 - Prob. 23CRECh. 3 - Prob. 24CRE
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- 5. (20%) The linear transformation L: P3 → P2 defined by L(f(x)) = f'(x)+ f(0). (a) Find the representing matrix A of L with respect to the ordered basis {x2, x, 1} for P3, and the ordered basis {2,1 - x} for P2. (b) Find the coordinates of the f(x) = 2x² +2 in P3 with respect to the ordered basis {x2,-x, 1}, and find the coordinates of L(f(x)) with respect to the ordered basis {2,1-x}arrow_forwardFor the spinner below, assume that the pointer can never lie on a borderline. Find the following probabilities. (enter the probabilities as fractions)arrow_forwardQuestions 1. Identify and describe potential bias in the study. 2. Identify and describe the way in which the selected participants may or may not represent the population as a whole. 3. Identify and describe the possible problems with the end results since the majority will be from females rather than an even split. 4. Identify and describe the possible problems with identifying females as possibly more vulnerable based on the data collected. 5. Identify a possible null hypothesis and problems in how the study might address this null hypothesis. 6. Identify one possible method of improving the study design and describe how it would improve the validity of the conclusions. 7. Identify a second possible method of improving the study design and describe how it would improve the validity of the conclusions.arrow_forward
- The Course Name Real Analysis please Solve questions by Real Analysisarrow_forwardpart 3 of the question is: A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forward2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel? (b) What is the position of that passenger when the ride ends?arrow_forward
- 3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. Answer: f(t) (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. 10 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-arrow_forwardA power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forwardThe Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer:arrow_forward
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