Plot the points A = (-1, 0), B = (2, 3), C = (1,-2) and D = (4, 1) and form the quadrilateral. Using slopes show  that the quadrilateral is a rectangle. Find its area.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Plot the points A = (-1, 0), B = (2, 3), C = (1,-2) and D = (4, 1) and form the quadrilateral. Using slopes show 
that the quadrilateral is a rectangle. Find its area.

 

 

12. Use the graph of the function f(x) to answer the following questions:
(0,3)
(-3,0)
-5
(-5,-2)
(-6,-3)
(2,4)
(a) Find f(2) and f(-6).
(b) Is f(3), f(-4) positive or negative?
(c) For what values of x is f(x) > 0?
(d) For what values of x is f(x) <0?
(e) How often does the line y = 2 intersect the graph?
(4,3)
5
(6,0)
(10,0) (11.1)
(8,-2)
11 x
Transcribed Image Text:12. Use the graph of the function f(x) to answer the following questions: (0,3) (-3,0) -5 (-5,-2) (-6,-3) (2,4) (a) Find f(2) and f(-6). (b) Is f(3), f(-4) positive or negative? (c) For what values of x is f(x) > 0? (d) For what values of x is f(x) <0? (e) How often does the line y = 2 intersect the graph? (4,3) 5 (6,0) (10,0) (11.1) (8,-2) 11 x
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