sptspt +r(1 — pt)(Section 1.9) Let Pt+1model.Let s =1.3 be the growth rate of species 1 and r = 1.1 be the growth rate of the species 2.The equilibrium p* = 0 is (stable/unstable)The equilibrium p* 1 is (stable/unstable)be the updating function for the population proportion of species 1 in the competing species

Let pt+1=f(pt) be a system and p* be an equilibrium, then If |f'(p*)|<1 , then p* is stable. If…

Answered: spt spt +r(1 pt) (Section 1.9) Let Pt+1…

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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How do you calculate an exponential smoothing model using alpha = 0.5 and 0.8. What is the prediction for 7/1/2021 for each technique? Forecasts Date Day of Week Rooms Sold MA 2 MA 4 ES (0.8) ES (0.5) 6/1/2021 Tuesday 123 6/2/2021 Wednesday 109 6/3/2021 Thursday 140 116.0 6/4/2021 Friday 199 124.5 6/5/2021 Saturday 179 169.5 142.8 6/6/2021 Sunday 140 189.0 156.8 6/7/2021 Monday 117 159.5 164.5 6/8/2021 Tuesday 132 128.5 158.8 6/9/2021 Wednesday 108 124.5 142.0 6/10/2021 Thursday 151 120.0 124.3 6/11/2021 Friday 182 129.5 127.0 6/12/2021 Saturday 168 166.5 143.3 6/13/2021 Sunday 161 175.0 152.3 6/14/2021 Monday 119 164.5 165.5 6/15/2021 Tuesday 133 140.0 157.5 6/16/2021 Wednesday 139 126.0 145.3 6/17/2021 Thursday 146 136.0 138.0 6/18/2021 Friday 168 142.5 134.3 6/19/2021 Saturday 188 157.0 146.5…
Euler method (Numerical Analysis) Newton’s law of cooling says that the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium Table Graph
6 Trout population Suppose 200 trout are caught, tagged, and released in a lake's general population. Let T denote the number of tagged fish that are recaptured when a sample of n trout are caught at a later date. The validity of the mark- recapture method for estimating the lake's total trout popula- tion is based on the assumption that Tis directly proportional to n. If 10 tagged trout are recovered from a sample of 300, estimate the total trout population of the lake.
The stability type of the equilibrium at y = 0 in this phase line is 3 unstable stable asymptotically stable semi-stable
Water temperature affects the growth rate of brook trout. The table shows the amount of weight gained by brook trout after 24 days in various water temperatures. Temperature (°C) 15.5 17.7 20.0 22.4 24.4 Weight gained (g) 37.9 31.4 19.0 9.0 -9.9 If W(x) be the weight gain at temperature x, construct a table of estimated values for W'. (Use a one-sided difference quotient with an adjacent point for the first and last values, and the average of two difference quotients with adjacent points for all other values. Round your answers to two decimal places.) w (x) 15.5 17.7 20.0 22.4 24.4
Variable Intercept x1 X2 Variable X₁ X2 LPM -0.30 (0.03) 0.27 (0.06) -0.05 (0.02) a. At the 5% significance level, comment on the significance of the variables for both models. x₁ = 10, X₂ = 14 x₁ = 10, X₂= 25 Logistic -2.50 (0.03) x₁ = 10, x₂ = 14 X₁ = 10, x₂ = 25 LPM Not significant Significant 1.03 (0.07) b. What is the predicted probability implied by the linear probability model for x₁ = 10 with x2 equal to 14 and 25? Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability between 0 and 1 (not in %). ŷ -0.30 (0.01) у Logistic Not significant Significant What is the predicted probability implied by the logistic model for x₁ = 10 with x2 equal to 14 and 25? Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability between 0 and 1 (not in %).
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