2a) Which group of candles could be represented by the graph? Which candle goes with which line? Why? 2b) Write an equation to represent each candle's burning. How are the three equations alike and different? How does this relate to the image of the group of candles you selected? 2c) Write an equation for a fourth candle, candle S, whose graph will intersect the point (0,8) like the other three lines. Sketch the graph of your equation on the same grid with the graphs for candles P, Q, and R. Explain how you know this equation will produce a graph that intersects (0, 8).

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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Question
2a) Which group of candles could be represented by the graph? Which candle goes
with which line? Why?
2b) Write an equation to represent each candle's burning. How are the three equations
alike and different? How does this relate to the image of the group of candles you
selected?
2c) Write an equation for a fourth candle, candle S, whose graph will intersect the point
(0,8) like the other three lines. Sketch the graph of your equation on the same grid with
the graphs for candles P, Q, and R. Explain how you know this equation will produce a
graph that intersects (0, 8).
8
7
3.
Height (cm)
2-
1
(1
1 2 3
11
Group 1
4
Three more burning candles
6 7
8 9 10 11 12 13 14 15 16 17
Time (min)
Grup 2
3
Transcribed Image Text:2a) Which group of candles could be represented by the graph? Which candle goes with which line? Why? 2b) Write an equation to represent each candle's burning. How are the three equations alike and different? How does this relate to the image of the group of candles you selected? 2c) Write an equation for a fourth candle, candle S, whose graph will intersect the point (0,8) like the other three lines. Sketch the graph of your equation on the same grid with the graphs for candles P, Q, and R. Explain how you know this equation will produce a graph that intersects (0, 8). 8 7 3. Height (cm) 2- 1 (1 1 2 3 11 Group 1 4 Three more burning candles 6 7 8 9 10 11 12 13 14 15 16 17 Time (min) Grup 2 3
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