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Table 1: Number of Fronds of Lemna Minor (Duckweed) Sample Group Member 1. 2. Control 3. 4 Average 1. 2. Fertilized 3. 4. Average Date and Time Days of Growth Session I Frond Count Session 2 Frond Count 2 Sample 1. Control 2. Fertilized 3 3 2 2 25 0 days 4 2 3.5 5 4 5.25 Growth Rate (r) Session 3 Frond Count 9 3 2 5 4.15 10 10 13 15 Table 2: Calculations of Growth Rate and Doubling Time for each sample of Duckweed based on Session 2, which had 14 Days Growth la Doubling Time (t₂) *HOW DO I APPLY

Table 1: Number of Fronds of Lemna Minor (Duckweed) Sample Group Member 1. 2. Control 3. 4 Average 1. 2. Fertilized 3. 4. Average Date and Time Days of Growth Session I Frond Count Session 2 Frond Count 2 Sample 1. Control 2. Fertilized 3 3 2 2 25 0 days 4 2 3.5 5 4 5.25 Growth Rate (r) Session 3 Frond Count 9 3 2 5 4.15 10 10 13 15 Table 2: Calculations of Growth Rate and Doubling Time for each sample of Duckweed based on Session 2, which had 14 Days Growth la Doubling Time (t₂) *HOW DO I APPLY

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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***given the calculations, how do I apply it to the data taken?***

1. Record Data in Table 1 and calculate the average number of fronds each day. 2. Equations for Ideal Exponential Growth Exponential growth, the number of fronds, N, at a given time t is given by Equation 1, where: No- number of starting fronds and r = exponential growth rate constant. This can be re-arranged to give Equations 2 where an estimate of doubling time (t2) can be calculated, where In(2) = 0.693. Equation 1: N- Noert Equation 2: t2 = In 2/r Keep in mind that these equations are valid only for ideal exponential growth conditions (Phase B above). For other phases of growth, different sets of equations must be applied to compensate for lag phase or to allow for senescence and death. Using your starting number of duckweed No and your second number after a week you can determine the growth rate of the population by rearranging Equation 1 to solve for r as in Equation 3. Equation 3: r-(In Ne-In No) / t Using the data from Table 1 calculate the growth rate (r) and doubling time (t2) of each sample and Record in Table 2.
Transcribed Image Text:1. Record Data in Table 1 and calculate the average number of fronds each day. 2. Equations for Ideal Exponential Growth Exponential growth, the number of fronds, N, at a given time t is given by Equation 1, where: No- number of starting fronds and r = exponential growth rate constant. This can be re-arranged to give Equations 2 where an estimate of doubling time (t2) can be calculated, where In(2) = 0.693. Equation 1: N- Noert Equation 2: t2 = In 2/r Keep in mind that these equations are valid only for ideal exponential growth conditions (Phase B above). For other phases of growth, different sets of equations must be applied to compensate for lag phase or to allow for senescence and death. Using your starting number of duckweed No and your second number after a week you can determine the growth rate of the population by rearranging Equation 1 to solve for r as in Equation 3. Equation 3: r-(In Ne-In No) / t Using the data from Table 1 calculate the growth rate (r) and doubling time (t2) of each sample and Record in Table 2.
3. Complete Tables 1 and 2. Describe the results you saw in your own words. Table 1: Number of Fronds of Lemna Minor (Duckweed) Sample Group Member 1. 2. 3. 4 Average Control Fertilized 1. 2. 3. 4. Average Date and Time Days of Growth Session I Frond Count Session 2 Frond Count 2 Sample 1. Control 2. Fertilized 3 3 3 3 2 2 25 0 days Growth Rate (r) 4 2 3.5 5 4 5.25 Bio101 Population Ecology Rev. 10/18/19 Session 3 Frond Count 9 3 2 5 4.15 10 Table 2: Calculations of Growth Rate and Doubling Time for each sample of Duckweed based on Session 2, which had Days Growth 10 13 15 la Doubling Time (t₂) *HOW DO I APPLY THE CALCULATONS GIVEN W/ BATA? * Page 4 of 6
Transcribed Image Text:3. Complete Tables 1 and 2. Describe the results you saw in your own words. Table 1: Number of Fronds of Lemna Minor (Duckweed) Sample Group Member 1. 2. 3. 4 Average Control Fertilized 1. 2. 3. 4. Average Date and Time Days of Growth Session I Frond Count Session 2 Frond Count 2 Sample 1. Control 2. Fertilized 3 3 3 3 2 2 25 0 days Growth Rate (r) 4 2 3.5 5 4 5.25 Bio101 Population Ecology Rev. 10/18/19 Session 3 Frond Count 9 3 2 5 4.15 10 Table 2: Calculations of Growth Rate and Doubling Time for each sample of Duckweed based on Session 2, which had Days Growth 10 13 15 la Doubling Time (t₂) *HOW DO I APPLY THE CALCULATONS GIVEN W/ BATA? * Page 4 of 6
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