Refer to image below to solve chain rule problem Create a chain of variables and use the chain rule to find the derivativeFirst, let u =Then finddudzanddyduFinally, by the chain rule,dydy dudzdu drdydzas a function of so that y =as a function of u.when y = In(sin(z)).

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Answered: Create a chain of variables and use the…

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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A model is built to explain the evolution of spending on tourism and recreation in a certain group of families (Y in USD/person/year). As potential explanatory variables are considered: X1 average annual income per person in the family (in USD), X2 – number of people in the family, X3 – nature of employment of the head of household If X3=1, when the head of the family is self-employed, X3=0, when the head of the family is an employee Based on the collected data, linear correlation coefficients between variables were calculated and obtained 0,84 R, = -0,47 [1 -0,55 0, 62 R= 1 -0,42 0,75 1 Using Hellwig's method, select the optimal combination of explanatory variables for the tourism and recreation expenditure model.
1. ^The graph of f4) = x² is shown on the grid. y Which statement about the relationship between 42 40 the graph of / ) and the graph of g(x) =f& +3) is true? A. The graph of g(x) is 3 units above the graph of B. The graph of g0) is 3 units below the graph of ). C. The graph of gw) is 3 units to the right of the graph of ). D. The graph of gw) is 3 units to the left of the graph of S), Conner High 5 2. ^The graph of f) = x* is transformed to create the graph of gtv) = - Which of the following statements is true? I. The graph of /0 is vertically compressed to form the graph of g). II. The graph of / is reflected over the x-axis to form the graph of g) III. The graph of g) is units below the graph of ) F. I only will do that G. II and III H. I and II 6 Reply all J. III only Page I10 O schoolnet O'Connor Algebra 1 Exam 8-3& 3-7 (Unit 7 Part 2) 2020-2021 CREATIVE
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8. A new car tends to depreciate in value more quickly during the first couple of years and then at a more gradual rate afterwards. Suppose that a 2017 Toyota Prius has a value of $18,000 on January 1, 2019. If it then begins to depreciate in value $1,500 per year, find a) The linear equation for the value of the car years after 2019. V b) The slope of the equation is of the car decreases c) Find the value of the car in 2022. and means for each year past 2019, the value and in 2027
The below figure represents Slope = Step size - h Select one: a. a graphical depiction of multi steps method for solving differential equations. b. None of options. c. a graphical depiction of a one step method for solving differential equations. d. a graphical depiction of unequal step method for solving differential equations.
2. Determine the definition of the piece wise linear function shown in each of the graphs 3. Consider the following sets of data points. Decide in which cases you would chose a piecewise linear model to fit the data points. 4. For any part of question 3 that was suitable for meddling with piecewise linear function: a) draw this model “by eye” b) estimate the value of y when x=12 6. Consider the set of data points in the table
If a company has discovered that at a price of $50, their sales volume will be 800 units. If they changed their price by $2, their sales will either increase of decrease by 50 units. Which among the following is a correct model of their price vs sales volume relationship? SALES VOLUME=400-50 * (PRICE-50) SALES VOLUME=800-50 * (PRICE-50) SALES VOLUME=800-25 * (PRICE-50) SALES VOLUME=800-25 * (PRICE-25)

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Create a chain of variables and use the chain rule to find the derivative First, let u = Then find du dz and dy du Finally, by the chain rule, dy dy du dz du dz Queri as a function of a so that y = as a function of u. dy dz 2 when y = In(sin(z)).