1- If -14 d. y< 6 1. 2 <<3 h. ly - 5| <1 e. 0 < y - 4 < 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2 7x +
HW#1
Due 16/2/2021
1-
If -1 <y - 5 <1, which of the following statements about y
are necessarily true, and which are not necessarily true?
a. 4 < y < 6
b. -6 < y < -4
c. y>4
d. v< 6
e. 0 < y - 4 < 2
2<<3
f. 2 <
1
g.
h. ly - 5| < 1
2- Solve the inequalities and show the solution sets on the real line.
2x -
« - 2) < « - 6)
3- Solve the inequalities, expressing the sol ution sets as intervals or unions of
intervals Also, show each solution set on the real line.
• |1 - x|> 1
3r
4- Write an equation for each line described.
. Has slope -5/4 and y-intercept 6
. Has slope 1/2 and y-intercept -3
. Passes through (-12, -9) and has slope 0
. Passes through (1/3, 4), and has no slope
5- Graph the parabolas. Label the vertex, axis, and intercepts in each case.
• y = -x - 6x –
x² + x + 4
%3D
1/2
Transcribed Image Text:2 7x + HW#1 Due 16/2/2021 1- If -1 <y - 5 <1, which of the following statements about y are necessarily true, and which are not necessarily true? a. 4 < y < 6 b. -6 < y < -4 c. y>4 d. v< 6 e. 0 < y - 4 < 2 2<<3 f. 2 < 1 g. h. ly - 5| < 1 2- Solve the inequalities and show the solution sets on the real line. 2x - « - 2) < « - 6) 3- Solve the inequalities, expressing the sol ution sets as intervals or unions of intervals Also, show each solution set on the real line. • |1 - x|> 1 3r 4- Write an equation for each line described. . Has slope -5/4 and y-intercept 6 . Has slope 1/2 and y-intercept -3 . Passes through (-12, -9) and has slope 0 . Passes through (1/3, 4), and has no slope 5- Graph the parabolas. Label the vertex, axis, and intercepts in each case. • y = -x - 6x – x² + x + 4 %3D 1/2
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