Problem 1E: Forf(x,y)=x23xy,find(0,2),f(2,3),andf(10,5). Problem 2E: 2. .
Problem 3E: 3. .
Problem 4E: 4. .
Problem 5E: Forf(x,y)=Inx+y3,findf(e,2),f(e2,4),andf(e3,5). Problem 6E: 6. .
Problem 7E: Forf(x,y,z)=x2y2+z2,findf(1,2,3)andf(2,1,3). Problem 8E: 8. .
Problem 9E: In Exercises 9-14, determine the domain of each function of two variables. f(x,y)=x2+4x+y2 Problem 10E: In Exercises 9-14, determine the domain of each function of two variables.
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Problem 11E: In Exercises 9-14, determine the domain of each function of two variables.
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Problem 12E: In Exercises 9-14, determine the domain of each function of two variables.
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Problem 13E: In Exercises 9-14, determine the domain of each function of two variables.
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Problem 14E: In Exercises 9-14, determine the domain of each function of two variables. k(x,y)=1x+yx1 Problem 15E: 15. Price-earnings ratio. The price-earnings ratio of stock is given by
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where P is the price... Problem 16E: Yield. The yield of a stock is given by Y(D,P)=DP, Where D is the dividend per share of stock and P... Problem 17E: 17. Cost of storage equipment. Consider the cost model in Example 5. For $100,000, Tonopah Storage... Problem 18E: Savings and interest. A sum of $1000 is deposited in a savings account for which interest is... Problem 19E: Monthly car payments. Ashley wants to buy a 2014 Nissan Leaf hybrid and finance $20,000 of the cost... Problem 20E Problem 21E: 21. Poiseuille’s Law. The speed of blood in a vessel is given by
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where R is the radius of the... Problem 22E Problem 23E: 23. Body surface area. The Mosteller formula for approximating the surface area S, in square meters... Problem 24E: Body surface area. The Haycock formula for approximating the surface area S, in square meters (m2),... Problem 25E: 25. Goals against average. A hockey goalie’s goals against average A is a function of the number of... Problem 26E: 26. Dewpoint. The dewpoint is the temperature at which moisture in the air condenses into liquid... Problem 27E: For the tornado described in Exercise 22, if the wind speed measures 200 mph, how far from the... Problem 28E: According to the Mosteller formula in Exercise 23, if a persons weight drops 19%, by what percentage... Problem 29E: Explain the difference between a function of two variables and a function of one variable. Problem 30E: 30. Find some examples of function of several variables not considered in the text, even some that... Problem 31E: Wind Chill Temperature. Because wind speed enhances the loss of heat from the skin, we feel colder... Problem 32E: Wind Chill Temperature.
Because wind speed enhances the loss of heat from the skin, we feel colder... Problem 33E Problem 34E: Wind Chill Temperature.
Because wind speed enhances the loss of heat from the skin, we feel colder... Problem 36E: Use a 3D graphics program to generate the graph of each function.
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Problem 37E: Use a 3D graphics program to generate the graph of each function.
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Problem 38E: Use a 3D graphics program to generate the graph of each function. f(x,y)=(x416x2)ey2 Problem 39E: Use a 3D graphics program to generate the graph of each function. f(x,y)=4(x2+y2)(x2+y2)2 Problem 40E Problem 41E: Use a 3D graphics program to generate the graph of each function.
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