Precalculus
9th Edition
ISBN: 9780321716835
Author: Michael Sullivan
Publisher: Addison Wesley
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Concept explainers
Question
Chapter 1.1, Problem 27AYU
To determine
The distance between the given points
Expert Solution & Answer
Answer to Problem 27AYU
Explanation of Solution
Given:
The given points are
Calculation:
The distance between two points
The distance can be calculated as
Chapter 1 Solutions
Precalculus
Ch. 1.1 - 1. On a real number line the origin is assigned...Ch. 1.1 - 2. If 3 and 5 are the coordinates of two points on...Ch. 1.1 - 3. If 3 and 4 are the legs of a right triangle,...Ch. 1.1 - 4. Use the converse of the Pythagorean Theorem to...Ch. 1.1 - 5. The area of a triangle whose base is b and...Ch. 1.1 - 6. True or False Two triangles are congruent if...Ch. 1.1 - 7. If ( x,y ) are the coordinates of a point P in...Ch. 1.1 - 8. The coordinate axes divide the xy-plane into...Ch. 1.1 - 9. If three distinct points P , Q and R all lie on...Ch. 1.1 - 10. True or False The distance between two points...
Ch. 1.1 - 11. True or False The point (1,4) lies in quadrant...Ch. 1.1 - 12. True or False The midpoint of a line segment...Ch. 1.1 - In Problems 15 and 16, plot each point in the...Ch. 1.1 - In Problems 15 and 16, plot each point in the...Ch. 1.1 - 17. Plot the points ( 2,0 ),( 2,3 ),( 2,4 ),(2,1)...Ch. 1.1 - 18. Plot the points ( 0,3 ),( 1,3 ),( 2,3 ),(5,3)...Ch. 1.1 - In Problems 35-46, find the distance d( P 1 , P 2...Ch. 1.1 - In Problems 35-46, find the distance d( P 1 , P 2...Ch. 1.1 - In Problems 35-46, find the distance d( P 1 , P 2...Ch. 1.1 - In Problems 35-46, find the distance d( P 1 , P 2...Ch. 1.1 - Prob. 21AYUCh. 1.1 - Prob. 22AYUCh. 1.1 - Prob. 23AYUCh. 1.1 - Prob. 24AYUCh. 1.1 - Prob. 25AYUCh. 1.1 - Prob. 26AYUCh. 1.1 - Prob. 27AYUCh. 1.1 - Prob. 28AYUCh. 1.1 - In Problems 51-56, plot each point and form the...Ch. 1.1 - In Problems 51-56, plot each point and form the...Ch. 1.1 - In Problems 51-56, plot each point and form the...Ch. 1.1 - In Problems 51-56, plot each point and form the...Ch. 1.1 - In Problems 51-56, plot each point and form the...Ch. 1.1 - In Problems 51-56, plot each point and form the...Ch. 1.1 - In Problems 57-64, find the midpoint of the line...Ch. 1.1 - In Problems 57-64, find the midpoint of the line...Ch. 1.1 - In Problemsfind the midpoint of the line segment...Ch. 1.1 - In Problems 3946 find the midpoint of the line...Ch. 1.1 - In Problems 3946 find the midpoint of the line...Ch. 1.1 - In Problems 57-64, find the midpoint of the line...Ch. 1.1 - In Problems 57-64, find the midpoint of the line...Ch. 1.1 - In Problems 57-64, find the midpoint of the line...Ch. 1.1 - If the point (2,5) is shifted 3 units to the right...Ch. 1.1 - If the point (1,6) is shifted 2 units to the left...Ch. 1.1 - Find all points having an-coordinate ofwhose...Ch. 1.1 - Find all points having a-coordinate ofwhose...Ch. 1.1 - Find all points on the x-axis that are 6 units...Ch. 1.1 - Find all points on the-axis that areunits from the...Ch. 1.1 - Suppose thatare the coordinates of a point in...Ch. 1.1 - Plot the pointsandin the-plane. Ifis the midpoint...Ch. 1.1 - The midpoint of the line segment from P1 to P2 is...Ch. 1.1 - The midpoint of the line segment fromtois. If,...Ch. 1.1 - The medians of a triangle are the line segments...Ch. 1.1 - An equilateral triangle is one in which all three...Ch. 1.1 - In Problems 103-106, find the length of each side...Ch. 1.1 - In Problems 103-106, find the length of each side...Ch. 1.1 - In Problems 103-106, find the length of each side...Ch. 1.1 - In Problems 103-106, find the length of each side...Ch. 1.1 - Baseball A major league baseball “diamond� is...Ch. 1.1 - Little league Baseball The layout of a Little...Ch. 1.1 - Baseball Refer to Problem 63. Overlay a...Ch. 1.1 - Little league Baseball Refer to Problem 64....Ch. 1.1 - Distance between Moving Objects A Ford Focus and a...Ch. 1.1 - Distance of a Moving Object from a Fixed Point A...Ch. 1.1 - Drafting Error When a draftsman draws three lines...Ch. 1.1 - Net Sales The figure illustrates the net sales...Ch. 1.1 - Poverty Threshold Poverty thresholds are...Ch. 1.1 - Write a paragraph that describes a Cartesian...Ch. 1.2 - Solve: 2( x+3 )1=7 (pp. A44-A46)Ch. 1.2 - Solve the equation x29=0Ch. 1.2 - The points, if any, at which a graph crosses or...Ch. 1.2 - The -intercepts of the graph of an equation are...Ch. 1.2 - Prob. 5AYUCh. 1.2 - Prob. 6AYUCh. 1.2 - Prob. 7AYUCh. 1.2 - True or False To find the y-intercepts of the...Ch. 1.2 - True or False The-coordinate of a point at which...Ch. 1.2 - True or False If a graph is symmetric with respect...Ch. 1.2 - In Problems, determine which of the given points...Ch. 1.2 - In Problems 1318, determine which of the given...Ch. 1.2 - In Problems, determine which of the given points...Ch. 1.2 - In Problems 1318, determine which of the given...Ch. 1.2 - In Problems 1318, determine which of the given...Ch. 1.2 - In Problems 1318, determine which of the given...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 11-22, find the intercepts and graph...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 23-32, plot each point. Then plot the...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - In Problems 33-44, the graph of an equation is...Ch. 1.2 - Prob. 51AYUCh. 1.2 - Prob. 52AYUCh. 1.2 - Prob. 53AYUCh. 1.2 - Prob. 54AYUCh. 1.2 - In Problems 5772, list the intercepts and test for...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems 5772, list the intercepts and test for...Ch. 1.2 - In Problems 5772, list the intercepts and test for...Ch. 1.2 - In Problems, list the intercepts and test for...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems, list the intercepts and test for...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems, list the intercepts and test for...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems 5772, list the intercepts and test for...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems 49-64, list the intercepts and test...Ch. 1.2 - In Problems 65-68, draw a quick sketch of each...Ch. 1.2 - In Problems 65-68, draw a quick sketch of each...Ch. 1.2 - In Problems 65-68, draw a quick sketch of each...Ch. 1.2 - In Problems 65-68, draw a quick sketch of each...Ch. 1.2 - Prob. 75AYUCh. 1.2 - Prob. 76AYUCh. 1.2 - Prob. 77AYUCh. 1.2 - Prob. 78AYUCh. 1.2 - Prob. 79AYUCh. 1.2 - If the graph of an equation is symmetric with...Ch. 1.2 - If the graph of an equation is symmetric with...Ch. 1.2 - If the graph of an equation is symmetric with...Ch. 1.2 - Microphones n studios and on stages, cardioid...Ch. 1.2 - Solar Energy The solar electric generating systems...Ch. 1.2 -
Graph,,and,noting which graphs are the...Ch. 1.2 - Explain what is meant by a complete graph.Ch. 1.2 - Draw a graph of an equation that contains two...Ch. 1.2 - Make up an equation with the intercepts,and....Ch. 1.2 - Draw a graph that contains the points ( 2,1 ) , (...Ch. 1.2 - Prob. 90AYUCh. 1.2 - Draw a graph that contains the points ( 2,5 ) , (...Ch. 1.2 - Prob. 92AYUCh. 1.2 - Prob. 93AYUCh. 1.2 - Prob. 94AYUCh. 1.3 - Prob. 1AYUCh. 1.3 - Prob. 2AYUCh. 1.3 - Prob. 3AYUCh. 1.3 - Prob. 4AYUCh. 1.3 - Prob. 5AYUCh. 1.3 - Prob. 6AYUCh. 1.3 - Prob. 7AYUCh. 1.3 - Prob. 8AYUCh. 1.3 - Prob. 9AYUCh. 1.3 - Prob. 10AYUCh. 1.3 - In Problems 13-16, (a) find the slope of the line...Ch. 1.3 - In Problems 13-16, (a) find the slope of the line...Ch. 1.3 - In Problems 13-16, (a) find the slope of the line...Ch. 1.3 - In Problems 13-16, (a) find the slope of the line...Ch. 1.3 - In Problems 17-24, plot each pair of points and...Ch. 1.3 - In Problems 17-24, plot each pair of points and...Ch. 1.3 - In Problems 17-24, plot each pair of points and...Ch. 1.3 - In Problems 17-24, plot each pair of points and...Ch. 1.3 - In Problems 17-24, plot each pair of points and...Ch. 1.3 - In Problems 17-24, plot each pair of points and...Ch. 1.3 - In Problems 17-24, plot each pair of points and...Ch. 1.3 - In Problems 17-24, plot each pair of points and...Ch. 1.3 - In Problems 25-32, graph the line containing the...Ch. 1.3 - In Problems 25-32, graph the line containing the...Ch. 1.3 - In Problems 25-32, graph the line containing the...Ch. 1.3 - In Problems 25-32, graph the line containing the...Ch. 1.3 - In Problems 25-32, graph the line containing the...Ch. 1.3 - In Problems 25-32, graph the line containing the...Ch. 1.3 - Prob. 29AYUCh. 1.3 - Prob. 30AYUCh. 1.3 - Prob. 31AYUCh. 1.3 - Prob. 32AYUCh. 1.3 - Prob. 33AYUCh. 1.3 - Prob. 34AYUCh. 1.3 - Prob. 35AYUCh. 1.3 - Prob. 36AYUCh. 1.3 - In Problems 39-46, find an equation of the line L...Ch. 1.3 - In Problems 39-46, find an equation of the line L...Ch. 1.3 - In Problems 39-46, find an equation of the line L...Ch. 1.3 - In Problems 39-46, find an equation of the line L...Ch. 1.3 - In Problems 39-46, find an equation of the line L...Ch. 1.3 - In Problems 39-46, find an equation of the line L...Ch. 1.3 - In Problems 39-46, find an equation of the line L...Ch. 1.3 - In Problems 39-46, find an equation of the line L...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 5378, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 5378, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 5378, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 5378, find an equation for the line...Ch. 1.3 - In Problems 5378, find an equation for the line...Ch. 1.3 - In Problems 5378, find an equation for the line...Ch. 1.3 - In Problems 5378, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 47-72, find an equation for the line...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 7998, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 7998, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 73-92, find the slope and y-intercept...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - In Problems 93—102, (a) find the intercepts of...Ch. 1.3 - Find an equation of the x-axis .Ch. 1.3 - Find an equation of the y-axis .Ch. 1.3 - In Problems 105-108, the equations of two lines...Ch. 1.3 - In Problems 105-108, the equations of two lines...Ch. 1.3 - In Problems 105-108, the equations of two lines...Ch. 1.3 - In Problems 105-108, the equations of two lines...Ch. 1.3 - In Problems, write an equation of each line....Ch. 1.3 - In Problems 115118, write an equation of each...Ch. 1.3 - In Problems 115118, write an equation of each...Ch. 1.3 - In Problems, write an equation of each line....Ch. 1.3 - Geometry Use slopes to show that the triangle...Ch. 1.3 - Geometry Use slopes to show that the quadrilateral...Ch. 1.3 - Geometry Use slopes to show that the quadrilateral...Ch. 1.3 - Geometry Use slopes and the distance formula to...Ch. 1.3 - Geometry Truck Rentals A truck rental company...Ch. 1.3 - Prob. 116AYUCh. 1.3 - Cost of Driving a Car The annual fixed costs of...Ch. 1.3 - Prob. 118AYUCh. 1.3 - Electricity Rates in Florida Florida Power &...Ch. 1.3 - Prob. 120AYUCh. 1.3 - Measuring Temperature The relationship between...Ch. 1.3 - Measuring Temperature The Kelvin scale for...Ch. 1.3 - Access Ramp A wooden access ramp is being built...Ch. 1.3 - U.S. Advertising Share A report showed that...Ch. 1.3 - Prob. 125AYUCh. 1.3 - Prob. 126AYUCh. 1.3 - Prob. 127AYUCh. 1.3 - Prob. 128AYUCh. 1.3 - Prob. 129AYUCh. 1.3 - Which of the following equations might have the...Ch. 1.3 - Prob. 131AYUCh. 1.3 - Prob. 132AYUCh. 1.3 - Prob. 133AYUCh. 1.3 - Prob. 134AYUCh. 1.3 - Carpentry Carpenters use the term pitch to...Ch. 1.3 - Prob. 136AYUCh. 1.3 - Prob. 137AYUCh. 1.3 - What can you say about two lines that have equal...Ch. 1.3 - Prob. 139AYUCh. 1.3 - Prob. 140AYUCh. 1.3 - Prob. 141AYUCh. 1.3 - Prob. 142AYUCh. 1.3 - Prob. 143AYUCh. 1.4 - In Problems 1-4, find the following for each pair...Ch. 1.4 - In Problems 1-4, find the following for each pair...Ch. 1.4 - In Problems 1-4, find the following for each pair...Ch. 1.4 - In Problems 1-4, find the following for each pair...Ch. 1.4 - 5. List the intercepts of the following graph.Ch. 1.4 - 6. Graph y= x 2 +15 using a graphing utility....Ch. 1.4 - Prob. 7AYUCh. 1.4 - Prob. 8AYUCh. 1.4 - Prob. 9AYUCh. 1.4 - Prob. 10AYUCh. 1.4 - Prob. 11AYUCh. 1.4 - Prob. 12AYUCh. 1.4 - Prob. 13AYUCh. 1.4 - Prob. 14AYUCh. 1.4 - Prob. 15AYUCh. 1.4 - Prob. 16AYUCh. 1.4 - Prob. 17AYUCh. 1.4 - Prob. 18AYUCh. 1.4 - Prob. 19AYUCh. 1.4 - Prob. 20AYUCh. 1.4 - Prob. 21AYUCh. 1.4 - Prob. 22AYUCh. 1.4 - Prob. 23AYUCh. 1.4 - Prob. 24AYUCh. 1.4 - Prob. 25AYUCh. 1.4 - Prob. 26AYUCh. 1.4 - Prob. 27AYUCh. 1.4 - Prob. 28AYUCh. 1.4 - Prob. 29AYUCh. 1.4 - Prob. 30AYUCh. 1.4 - Prob. 31AYUCh. 1.4 - Prob. 32AYUCh. 1.4 - Prob. 33AYUCh. 1.4 - Prob. 34AYUCh. 1.4 - Prob. 35AYUCh. 1.4 - Prob. 36AYUCh. 1.4 - Prob. 37AYUCh. 1.4 - Prob. 38AYUCh. 1.4 - Prob. 39AYUCh. 1.4 - Prob. 40AYUCh. 1.4 - Prob. 41AYUCh. 1.4 - Prob. 42AYUCh. 1.4 - In Problems 45-48, match each graph with the...Ch. 1.4 - In Problems 45-48, match each graph with the...Ch. 1.4 - In Problems 45-48, match each graph with the...Ch. 1.4 - In Problems 45-48, match each graph with the...Ch. 1.4 - Prob. 47AYUCh. 1.4 - Prob. 48AYUCh. 1.4 - Prob. 49AYUCh. 1.4 - Prob. 50AYUCh. 1.4 - Prob. 51AYUCh. 1.4 - Prob. 52AYUCh. 1.4 - Prob. 53AYUCh. 1.4 - Prob. 54AYUCh. 1.4 - Prob. 55AYUCh. 1.4 - Prob. 56AYUCh. 1.4 - Prob. 57AYUCh. 1.4 - Prob. 58AYUCh. 1.4 - Prob. 59AYUCh. 1.4 - Prob. 60AYUCh. 1.4 - Prob. 61AYUCh. 1.4 - Prob. 62AYUCh. 1.4 - Prob. 63AYUCh. 1.4 - Prob. 64AYUCh. 1.4 - Prob. 65AYUCh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - In Problems , use and .
Find the distance from ...Ch. 1 - In Problems , use and .
Find the midpoint of...Ch. 1 - In Problems , use and .
(a) Find the slope of...Ch. 1 - In Problems , use and .
Graph by plotting...Ch. 1 - In Problems , use and .
Graph .
Ch. 1 - In Problems , use and .
List the intercepts and...Ch. 1 - In Problems , use and .
Write the...Ch. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - In Problems 13, use P1=(1,3) and P2=(5,1). For the...
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- Q2/ Determine the size of square footing to carry net allowable load of 400 kN. FS-3. Use Terzaghi equation assuming general shear failure. 400KN 1 m += 35" C=0.0 Ya = 18.15 kN/m³ +=25" C=50 kN/m² Ya 20 kN/m³arrow_forward4 x+3 and g(x)=x2-9 4X-10 2X --13) The domain of rational expression A) 1R. {-2,-8} AB -14) Let f(x) = B) 1R. {2,-4,-8} 4X-12 x² +6x-16 X3+7X²+12X ? C) 1R \ {-4,-3,0} then f(x) + g(x) is equal ro D) IR 2 A) B) c) D) x²-9 x2-9 x²-9 x+4 DB 5x-4 A B If + then the value of B is equal to X+1 A) 4 B) 2 C) 5 D) 3 4X 4x+4 С.В.... x2+5X+6 x2 (x-2)(x+1) X-2 AC 16 The solution set of the equation A){4} B) {-3} C){ 1} 17 The solution set of the equation A) (-3,-2) B) [-3,0) C)[-3,-2] D). [-2,0) BA -18) Which one of the following is proper fraction? 2x+4 ≤0 入×1 x+2x+4 (x+1)(x+2) 2x+4x+2 = 4 X+1 is equal to D). {-5} ≤0 A) x6 +4 2x+12 2X x +4 B) c) x2-9 AL 2x+12 D) x+4 14) let g(x) = [x-3],then g(-2) is equal to A) -5 B)-6 C)-3 D) 3 Part III work out (show every step cleary) (2pt) 20. E9) Find the solution set of the equation 2x+4 x+1 ≤0 P(x) (a) P(x) =≤0 2x+4 50 x+1 x+1≤ 2x+4 (x-1)(x-2) x= 1 or x=2 solution is {1.2} x-1=0 of x-2=0 x = 1 or = 2arrow_forward8d6 عدد انباء Q/ Design a rectangular foo A ing of B-2.75m to support a column of dimensions (0.46 x 0.46) m, dead load =1300kN, live load = 1300kN, qa-210kPa, fc' 21 MPa, fy- 400 MPa. =arrow_forward
- Q1/ Two plate load tests were conducted in a C-0 soil as given belo Determine the required size of a footing to carry a load of 1250 kN for the same settlement of 30 mm. Size of plates (m) Load (KN) Settlement (mm) 0.3 x 0.3 40 30 0.6 x 0.6 100 30 Qx 0.6zarrow_forwardThe OU process studied in the previous problem is a common model for interest rates. Another common model is the CIR model, which solves the SDE: dX₁ = (a = X₁) dt + σ √X+dWt, - under the condition Xoxo. We cannot solve this SDE explicitly. = (a) Use the Brownian trajectory simulated in part (a) of Problem 1, and the Euler scheme to simulate a trajectory of the CIR process. On a graph, represent both the trajectory of the OU process and the trajectory of the CIR process for the same Brownian path. (b) Repeat the simulation of the CIR process above M times (M large), for a large value of T, and use the result to estimate the long-term expectation and variance of the CIR process. How do they compare to the ones of the OU process? Numerical application: T = 10, N = 500, a = 0.04, x0 = 0.05, σ = 0.01, M = 1000. 1 (c) If you use larger values than above for the parameters, such as the ones in Problem 1, you may encounter errors when implementing the Euler scheme for CIR. Explain why.arrow_forward#8 (a) Find the equation of the tangent line to y = √x+3 at x=6 (b) Find the differential dy at y = √x +3 and evaluate it for x=6 and dx = 0.3arrow_forward
- Q.2 Q.4 Determine ffx dA where R is upper half of the circle shown below. x²+y2=1 (1,0)arrow_forwardthe second is the Problem 1 solution.arrow_forwardc) Sketch the grap 109. Hearing Impairments. The following function approximates the number N, in millions, of hearing-impaired Americans as a function of age x: N(x) = -0.00006x³ + 0.006x2 -0.1x+1.9. a) Find the relative maximum and minimum of this function. b) Find the point of inflection of this function. Sketch the graph of N(x) for 0 ≤ x ≤ 80.arrow_forward
- The purpose of this problem is to solve the following PDE using a numerical simulation. { af (t, x) + (1 − x)= - Ət af 10²ƒ + მე 2 მე2 = 0 f(ln(2), x) = ex (a) The equation above corresponds to a Feynman-Kac formula. Identify the stochastic process (X)20 and the expectation that would correspond to f(t, x) explicitly. (b) Use a numerical simulation of (X+) above to approximate the values of f(0, x) at 20 discrete points for x, uniformly spaced in the interval [0,2]. Submit a graph of your solution. (c) How would you proceed to estimate the function f(0.1, x). (Briefly explain your method, you do not need to do it.) Extra question: You can explicitly determine the function in (b) (either as a conditional expectation or by solving the PDE). Compare the theoretical answer to your solution.arrow_forwardA sequence is given by the formula an = n/2n^2 +1 . Show the sequence is monotone decreasing for n >1. (Hint: What tool do you know for showing a function is decreasing?)arrow_forwardA sequence is given by the formula an = n 2n2 +1 . Show the sequence is monotone decreasing for n 1. (Hint: What tool do you know for showing a function is decreasing?)arrow_forward
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