Queen's University

Find 3-6 quotes from the below interviews/discussions that help answer this question: What role do you think policy advocacy has in achieving broader social change? #1: Discussion with a policy advocate - Dylan Reid-Davies #2: Discussion with a policy advocate - Sayyida Jaffer #3: Discussion with a policy advocate - Geordie Dent

Summarize these three discussions: #1: Discussion with a policy advocate - Dylan Reid-Davies #2: Discussion with a policy advocate - Sayyida Jaffer #3: Discussion with a policy advocate - Geordie Dent

(6 marks) Imagine that you are an ecologist studying pigeon populations, and you have determined that population is affected primarily by four factors: temperature (𝑡) , availability of food (𝑓), predators (𝑝), and density of human population (ℎ). You have been tasked with designing a model: 𝑀(𝑡, 𝑓, 𝑝, ℎ) = 𝑥1 𝑡 + 𝑥2𝑓 + 𝑥3𝑝 + 𝑥4ℎ that predicts the population given values of 𝑡, 𝑓, 𝑝, and ℎ. For this model, you have collected five data observations, there is a chart with a column of t(in C), f (in g/m), P per km^2, h in 1000/km^2, and pigeons per km^2 and for t (in C) below it it has 15,15,20,0,0 for f (in g/m) there is 10,2,50,10,25 for P per Km^2 there is 5,5,10,5,0 for h in 1000/km^2 there is 0,5,10,1,0 for pigeons per km^2 there is 215,0,1370,205,750 Find values of 𝑥1, 𝑥2, 𝑥3, and 𝑥4 so that your model is consistent with the observational data.

(6 marks) On a drive from Toronto to Ottawa, your position on highway 401 (in kilometers east of Toronto) after 𝑡 hours is modeled by a continuous function 𝑓(𝑡). explain thoroughly and show steps. (a) Using complete sentences, explain what 𝑓 ′ (3) represents in real life. (b) Suppose that 𝑓 ′′(2) = −40. Using complete sentences, explain what this means in real life. (c) If 𝑓(2) = 195 and 𝑓(3) = 304, is there a value of 𝑡 for which 𝑓(𝑡) = 230? Answer using the Intermediate Value Theorem.

(5 marks) Using the limit definition of the derivative, determine the values of b and c for which 𝑓(𝑥) = { 𝑏𝑥 2 + 𝑐𝑥 − 𝑏 − 𝑐 𝑥 ≤ 1 𝑥 3 − 3𝑥 2 + 2 𝑥 > 1 is twice-differentiable at 𝑥 = 1. In other words, find 𝑏 and 𝑐 so that 𝑓 ′ (1) and 𝑓 ′′(1) exist.

Find the derivatives of the following functions (do not simplify). a) 𝑓(𝑥) = ln (√2𝑥 + 1) ∙ tan 𝑥 2 b) 𝑦 = sin(cos (𝑥)) 𝑒 2𝑥 c) 𝑓(𝑡) = 2log2 (2𝑡) − 𝑒 2𝑡