1. write the slope-intercept forms of the equations of the lines through the given point (a) parallel to the given line and (b) perpendicular to the given line. Point Line 69. (2, 1) 4x - 2y = 3 2. Solve the following linear programing problems graphically : Minimise Z = 3r + 5y Subject to the constraints:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Question
1.
write the slope-intercept forms of the equations of the lines through the given point (a) parallel to the given
line and (b) perpendicular to the given line.
Point
Line
69. (2, 1)
4x - 2y = 3
2.
Solve the following linear programing problems graphically :
Minimise Z 3r + 5y
Subject to the constraints :
z+ 2y 2 3,
z+y 2,
a2 0, 2 0.
3. Find a least degree polynomial function with real coefficients that has the given zeros.(The leading
coefficient should be 1)
1,1 – 2i,1 – V5
4. determine the possible numbers of positive and negative zeros of the function.
f(x) = 4x3 – 3x2 + 2x - 1
1+3i
5. Evaluate
1-4i
6. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for
each of the situations described below.
a. The account pays 3% annual interest compounded monthly.
b. The account pays 4% annual interest compounded continuously.
7. Solve the equation.
logz(x + 2) – logz(x + 4) = log2(x – 3)
8. Find x.
Transcribed Image Text:1. write the slope-intercept forms of the equations of the lines through the given point (a) parallel to the given line and (b) perpendicular to the given line. Point Line 69. (2, 1) 4x - 2y = 3 2. Solve the following linear programing problems graphically : Minimise Z 3r + 5y Subject to the constraints : z+ 2y 2 3, z+y 2, a2 0, 2 0. 3. Find a least degree polynomial function with real coefficients that has the given zeros.(The leading coefficient should be 1) 1,1 – 2i,1 – V5 4. determine the possible numbers of positive and negative zeros of the function. f(x) = 4x3 – 3x2 + 2x - 1 1+3i 5. Evaluate 1-4i 6. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations described below. a. The account pays 3% annual interest compounded monthly. b. The account pays 4% annual interest compounded continuously. 7. Solve the equation. logz(x + 2) – logz(x + 4) = log2(x – 3) 8. Find x.
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