Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
1. What do the following pictures
tell you about the value of
H I
()+()*+G)*+()*+...
2. What do the following pictures
IH H
tell you about the value of
()+()* - ()*+ ()*+
+
3. What identity do the pictures below establish?
4. For 0 <r< 1, consider the figure:
09
08
07
04
05
04
03
02
01
•
obtained by drawing next to each other:
2
a trapezoid with height 1 and bases 1 and r
a trapezoid with height r and bases r and 72
a trapezoid with height 2 and bases r2 and 3
+...?
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Transcribed Image Text:1. What do the following pictures tell you about the value of H I ()+()*+G)*+()*+... 2. What do the following pictures IH H tell you about the value of ()+()* - ()*+ ()*+ + 3. What identity do the pictures below establish? 4. For 0 <r< 1, consider the figure: 09 08 07 04 05 04 03 02 01 • obtained by drawing next to each other: 2 a trapezoid with height 1 and bases 1 and r a trapezoid with height r and bases r and 72 a trapezoid with height 2 and bases r2 and 3 +...?
a trapezoid with height 73 and bases r3 and 74
Answer the following questions:
(a) Argue that the collection of these trapezoids form a triangle.
(b) Using the magenta triangle, find a relationship between tan(0) and r.
(c) Using the cyan triangle, find a relationship between tan(0) and r.
(d) Combining the results of Part 4b and Part 4c, obtain an expression for 1+r+p² +²³+.....
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Transcribed Image Text:a trapezoid with height 73 and bases r3 and 74 Answer the following questions: (a) Argue that the collection of these trapezoids form a triangle. (b) Using the magenta triangle, find a relationship between tan(0) and r. (c) Using the cyan triangle, find a relationship between tan(0) and r. (d) Combining the results of Part 4b and Part 4c, obtain an expression for 1+r+p² +²³+.....
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