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1. What do the following pictures tell you about the value of H I ()+()*+G)*+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 06 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 72 and bases r2 and 3 +...?

1. What do the following pictures tell you about the value of H I ()+()*+G)*+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 06 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 72 and bases r2 and 3 +...?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 +...?
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+.....
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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