Exercise 4. Draw the line AB for the given values of p and w and write its equation. p= 5, w = 315°
Exercise 4. Draw the line AB for the given values of p and w and write its equation. p= 5, w = 315°
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Exercise 4. Draw the line AB for the given values of p and w and write its equation.
p = 5,w=315°
Expert Solution
Step 1: Concept Draw the line AB:
The line AB can be drawn using the given values of p and w.
- Draw a point A on the graph paper.
- Draw a line segment from A that makes an angle
format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2213.5%22%20y%3D%2216%22%3E315%3C%2Ftext%3E%3Ctext%20font-family%3D%22math138af86134b65d0f10fe33d30dd%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2231.5%22%20y%3D%2216%22%3E%26%23xB0%3B%3C%2Ftext%3E%3C%2Fsvg%3E)
with the positive x-axis. - Measure the length of the line segment to be 5 units..
- Mark the endpoint of the line segment as point B.
The equation of line AB can be found using the slope-intercept form of a linear equation, which is given by format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%224.5%22%20y%3D%2216%22%3Ey%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1564b4c0e54101ac57a0cb68c16%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2217.5%22%20y%3D%2216%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2232.5%22%20y%3D%2216%22%3Em%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2243.5%22%20y%3D%2216%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math1564b4c0e54101ac57a0cb68c16%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2255.5%22%20y%3D%2216%22%3E%2B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2267.5%22%20y%3D%2216%22%3Eb%3C%2Ftext%3E%3C%2Fsvg%3E)
where 
is the slope of the line and 
is the y-intercept.
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