Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
1. Find an equation of the line that passes through the point (-1,3) and is parallel to the line passing through the points (-2,-3) and (2,5). Write your answer in slope-intercept form. 2. Solve the following system of equations. (Зх + 2у %3D3 2х - 4у%3D — 14 3. Graph the inequality 4x+3y> 12. 4. Find the equilibrium quantity and price for the following supply and demand equations: p = 2x +10and p = -3x + 40, where p denotes the unit price in dollars and x denotes the number of units in thousands. 5. Write the following system of linear equations in the form AX = B. Find A and use it to solve the system. x + 2y - 4. 3x - y + 2== 14 (2x-3y+4z = 17 7 6. Solve the following system of equations using the Gauss-Jordan elimination method. 2x+2y+ z =9 X + z = 4 |4y -3z = 17 7. A theater has a seating capacity of 900 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $5600. How many children attended the theater that day? 8. Determine the solution set for the following system of inequalities graphically. (x+ y<4 2x + y 56 2.х - у 2 -1 x 2 0, y 20
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Transcribed Image Text:1. Find an equation of the line that passes through the point (-1,3) and is parallel to the line passing through the points (-2,-3) and (2,5). Write your answer in slope-intercept form. 2. Solve the following system of equations. (Зх + 2у %3D3 2х - 4у%3D — 14 3. Graph the inequality 4x+3y> 12. 4. Find the equilibrium quantity and price for the following supply and demand equations: p = 2x +10and p = -3x + 40, where p denotes the unit price in dollars and x denotes the number of units in thousands. 5. Write the following system of linear equations in the form AX = B. Find A and use it to solve the system. x + 2y - 4. 3x - y + 2== 14 (2x-3y+4z = 17 7 6. Solve the following system of equations using the Gauss-Jordan elimination method. 2x+2y+ z =9 X + z = 4 |4y -3z = 17 7. A theater has a seating capacity of 900 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $5600. How many children attended the theater that day? 8. Determine the solution set for the following system of inequalities graphically. (x+ y<4 2x + y 56 2.х - у 2 -1 x 2 0, y 20
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