zeanddzDraw a dependency diagram and write a chain rule formula forgiven the functions below.atdsz= k(x,y), x = f(t,s), y = h(t,s)Choose the correct dependency diagram for ðz / ot.O A.ОВ.OD.dt tdtdxдуdz zdzdz zdzdx,dyatдуdxdyXx>ydxdydzdzdydzdzdxдуatatdtatChoose the correct chain rule formula for dz / dt.O A. dzdz dydz dxду дtO B. azdzdx= - + -+ - +atdzдуatдуO C. azdz dzдх ду%3Datдх дуat atO D. azdz dxdz dy%3D+atdx đtду дtChoose the correct dependency diagram for dz / ds.OC.O D.dzOA.OB.dsdsdzdzdxдуdzdxdydxдуdsdsdxX-xdydzdzdzdsdsdxdsdsChoose the correct chain rule formula for dz/ ds.O A. azdz dzдх ду%3Ddsдх дуds dsOB.dzaz dyaz dx%3Dsedx dsdz dxду дsO C. azdz dy%3Dasax dsду дsO D. azdz+%3Ddzдуdsдуdsse+++

dz dz Draw a dependency diagram and write a chain rule formula for and given the functions below. ds z= K(x.y), x= f(t,s), y = h(t,s) Choose the correct dependency diagram for az / at. O A. ов. OC. dz 1 OD. dy dz dz 1 dz dy dy dy dy dz dz Choose the correct chain rule formula for az/ at. O A. az dz dy dz dx ---+- - dx dt dy dt OB. az dz ---+ dt dz dy -+- dy dt O C. az dz dz dx dy ==-- +-- дх ду t at OD. dz - -- -- dz dx dz dy x dt dv at Choose the correct dependency diagram for az/as OA. ов. OC. OD. ds ds dy dy dy dy de dy dz ds ds dy ds Choose the correct chain rule formula for az/ ds. OA. az dz dz ax dy ====+ 2 os dx dy ds ds OB. az az dy az dx ds dx ds dy ds OC. az z dz đx dz dy s dx ds dy ds OD. az az dz dy ds dx ds dy ds

dz dz Draw a dependency diagram and write a chain rule formula for and given the functions below. ds z= K(x.y), x= f(t,s), y = h(t,s) Choose the correct dependency diagram for az / at. O A. ов. OC. dz 1 OD. dy dz dz 1 dz dy dy dy dy dz dz Choose the correct chain rule formula for az/ at. O A. az dz dy dz dx ---+- - dx dt dy dt OB. az dz ---+ dt dz dy -+- dy dt O C. az dz dz dx dy ==-- +-- дх ду t at OD. dz - -- -- dz dx dz dy x dt dv at Choose the correct dependency diagram for az/as OA. ов. OC. OD. ds ds dy dy dy dy de dy dz ds ds dy ds Choose the correct chain rule formula for az/ ds. OA. az dz dz ax dy ====+ 2 os dx dy ds ds OB. az az dy az dx ds dx ds dy ds OC. az z dz đx dz dy s dx ds dy ds OD. az az dz dy ds dx ds dy ds

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 14E: Market Demand This is a continuation of Exercise 13. The following table shows the quantity D of...

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Market Demand This is a continuation of Exercise 13. The following table shows the quantity D of wheat, in billions of bushels, that wheat consumers are willing to purchase in a year at a prince P, in dollars per bushel. D = quantity of wheat P = price 1.0 2.05 1.5 1.75 2.0 1.45 2.5 1.15 In economics, it is customary to plot D on the horizontal axis and P on the vertical axis, so we will think of D as a variable and of P as a function of D. a. Show that these data can be modeled by a linear function, and find its formula. b. Add the graph of the linear formula you found in part a, which is called the market demand curve, to your graph of the market supply curve from Exercise 13. c. Explain why the market demand curve should be decreasing. d. The equilibrium price is the price determined by the intersection of the market demand curve and the market supply curve. Find the equilibrium price determined by your graph in part b. 13. Market supply The following table shows the quantity S of wheat, in billions of bushels, that wheat supplies are willing to produce in a year and offer for sale at a price P, in dollars per bushel. S = quantity of wheat P = price 1.0 1.35 1.5 2.40 2.0 3.45 2.5 4.50 In economics, it is customary to plot S on the horizontal axis and P on the vertical axis, so we will think of S as a variable and of P as a function of S. a. Show that these data can be modeled by a linear function, and find its formula. b. Make a graph of the linear formula you found in part a. This is called the market supply curve. c. Explain why the market supply curve should be increasing. Hint: Think about what should happen when the price increases. d. How much wheat would suppliers be willing to produce in a year and offer for sale at a price of 3.90 per bushel?
Supply and Demand The quantity S of barley, in billions of bushels, that barley suppliers in a certain country are willing to produce in a year and offer for sale at a price P, in dollars per bushel, is determined by the relation P=1.9S-0.7. The quantity D of barley, in billions of bushels, that barley consumers are willing o purchase in a year at price P is determined by the relation P=2.8-0.6D. The equilibrium price is the price at which the quantity supplied is the same as the quantity demanded. Find the equilibrium price for barley.
Draw a dependency diagram and write a chain rule formula for (image attatched 1*) given the functions below. z = f(x,y), x = g(n,p), y = k(n,p) i have attatched a big image, I need to choose the correct one for each of them if possible thank you for your time
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