Numerade

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3/166 The system is initially moving with the cable taut, the 10-kg block moving down the rough incline with a speed of 0.3 m/s, and the spring stretched 25 mm. By the method of this article, (a) determine the velocity $v$ of the block after it has traveled 100 mm, and (b) calculate the distance traveled by the block before it comes to rest.

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A capital asset is: A. treated as a current asset B. depreciated over its useful life C. never depreciated D. treated as an expense

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Use the information in the table for Economy G to answer the following question. Year CPI 2019 51.4 2020 54.6 2021 57.6 2022 61.1 2023 64.5 Based on adaptive expectations, what can be said about Economy G? Economy G will have economic growth in 2024. Economy G will have inflation in 2024. Economy G will have a recession in 2024. Economy G will have deflation in 2024.

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Below is information for Nike, Inc. Nike, Inc. Consolidated Statements of Income (S in Millions) Revenues/net sales Cost of sales Gross profit Demand creation expense Operating overhead expense Interest expense (income), net Other (income) expense, net Income before income taxes Income tax expense Net Income 12 Months Ended May 31, May 31, 2019 2018 39,117 36,397 21,643 20,441 17,474 15,956 3,753 3,577 8,949 7,934 49 54 (78) 66 4,801 4,325 772 2,392 4,029 1,933 Perform horizontal analysis on cost of sales for 2019 using 2018 as the base year. For ratios or calculations expressed as a percentage, convert from decimal format to percentage format (e.g. 0.1234 to 12.34). Round answer to two decimal places. %

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Use the Desmos Graphing Calculator tool for this question. Note that whenever you are asked to produce a graph using Desmos, your screenshot must include the spot where you input your equations and points. https://www.desmos.com/calculator PART A. [2 MARKS]. State the domain and range of $f(x) = \sqrt{x + 10} + 7$ using interval notation. PART B. [2 MARKS]. Determine the inverse function, $f^{-1}(x)$. PART C. [3 MARKS]. What is the domain and range of the inverse and how do we know it immediately? PART D. [2 MARKS]. Use function composition to prove the functions are inverses. PART E. [2 MARKS]. Using Desmos, graph $f(x)$ and its inverse together on their appropriate domains. Include the line of symmetry (as a dotted line) that verifies graphs of inverse functions. [Hint: See Example 1.30 in Section 1.4].

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3. Using First Principle Definition of a Limit, Determine the slope of the tangent, y coordinate, and equation of the tangent given a curve $f(x) = x^3 - 2x^2 + x - 1$ at $x = 6$ (K/U = 6marks) 4. Evaluate the limits of the following given: (K/U = 6marks) a) $\frac{1 - \sqrt{1 + 3h}}{h}$ (3marks) b) $\frac{t^2 - 2}{3 - \sqrt{7 + t^2}}$ (3marks)

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Can anyone show me how to do this problem? Question 4: Sampling and Bayesian Network (25 points) We want to study people's exercise habits on sunny and rainy days. Suppose we consider the weather, along with a person's exercise, over the span of two days. We'll have four random variables: W and W stand for the weather on days 1 and 2, which can either be rainy (R) or sunny (S), and the variables E and E represent whether the person exercises on days 1 and 2 or not and take values T (for truly doing exercise) or F. We can model this as the following Dynamic Bayes Net with these probabilities. Note that this is a simple case of DBN and you can consider it as an HMM. W: P(W=S) = 0.6, P(W=R) = 0.4 W': P(W'=S|W=S) = 0.7, P(W'=R|W=S) = 0.3, P(W'=S|W=R) = 0.5, P(W'=R|W=R) = 0.5 W S E P(E|W=T) = 0.9, P(E|W=F) = 0.1, P(E|W=T') = 0.2, P(E|W=F') = 0.8 S R R Suppose we produce the following sample of (W,E,W',E') from the exercise model: R,F,R,T S,T,S,T S,T,S,T S,T,R,F R,F,S,T R,F,R,F S,F,S,T S,T,S,T S,T,R,F a) What is P(W=R), the probability that sampling assigns to the event W=R? b) Assume we're computing P(W=B=T,E=F). Cross off samples above which are rejected by rejection sampling. Rejection sampling seems to be wasting a lot of effort, so we decide to switch to likelihood weighting. Assume we generate the following six samples given the evidence and E=F: W,E,W',E' = S,T,R,F S,T,R,F S,T,R,F S,T,R,F S,T,R,F S,T,R,F c) What is the weight of the first sample (S,T,R,F) above? d) Using likelihood weighting, estimate P(W=E=T,E=F).

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Directions: Answer the following questions 1. Give an original example from your own experiences of Classical Conditioning. In your answer, be sure to include definitions and original examples of the following terms: a. Neutral Stimulus b. Unconditioned Stimulus c. Unconditioned Response d. Conditioned Stimulus e. Conditioned Response f. Stimulus Generalization 2. Give an original example from your own experiences of Operant Conditioning. In your answer, be sure to include definitions and original examples to explain all the of following terms: a. Positive reinforcement b. Negative reinforcement c. Positive Punishment d. Negative Punishment e. Shaping 3. How did Bandura use modeling to explain social learning? Give an example of modeling from your own experiences. 4. Of the three theories of learning listed above, which do you think is most effective for you? Apply the theory you choose to improve your study skills. Explain. 5. What are the three alternatives and how do they apply to some of them but not the others? 6. Explain every factor listed in the second, tenth, and last. 7. How do you know it was there? 8. Apply it to them after it is explained. Notes: Use full sentences, in context!

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(QA2) Air is fed to a perfectly insulated turbine at 6 bar and exits the turbine at 1 bar and 300 K. Under these conditions, the air is well described by a virial equation of state of the form Z = 1 - BP, with B = 0.075 bar$^{-1}$. Its heat capacity at constant pressure is 29 J mol$^{-1}$ K$^{-1}$ and can be assumed to be independent of temperature. Using the virial equation, calculate the inlet temperature of the air (in K) under the assumption that the turbine operates reversibly. Answer:

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3. (15 points) Suppose that you are a financial consultant for an investor who is interested in a certain stock. You note that the stock value as a function $f$ of time $t$ in years since 2015 has the graph below. Stock Values ($CAD) 400 $s = f(t)$ 300 200 100 0 1 2 3 4 5 6 Time $t$ (years) (a) Estimate the average rate of change of the stock over this 6-year period. Show your calculation and round your answer to the nearest 0.1. Answer: number units (b) Roughly sketch graphs of each of the following functions. Be sure to label your axes. i. The density function for the stock values over the 6-year period. ii. The cumulative distribution function for the stock values over the 6-year period. (c) The average (or mean) value of the stock over the six year period is given by which of the following? Select all correct answers. Shade the bubble(s) using a dark colour. $\frac{f(6) - f(0)}{6}$, where $f(t)$ represents the stock value at time $t$, as above. $\frac{1}{6} \int_0^6 f(t) \, dt$, where $f(t)$ represents the stock value at time $t$, as above. $\int_{-\infty}^\infty t p(t) \, dt$, where $p$ is the density function you graphed in (b)i.

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david g.