Problem 1MP Problem 2MP: Matched Problem 2 For z=f(x,y)=(x2+2xy)5, find (A)z/y (B)fx(1,0) Problem 3MP: Matched Problem 3 For the profit function in Example 3, find Py(25, 10) and Py(25, 15), and... Problem 4MP: Matched Problem 4The productivity of an airplanemanufacturing company is given approximately by the... Problem 5MP: Matched Problem 5 Forz=f(x,y)=x3y2y4+3, find (A)2zyx (B)2zy2 (C)fxy(2,3) (D)fyx(2,3) Problem 1E Problem 2E Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E: In Problems 1724, find the indicated first-order partial derivative for each function z = f(x, y).... Problem 10E: In Problems 1724, find the indicated first-order partial derivative for each function z = f(x, y).... Problem 11E: In Problems 1724, find the indicated first-order partial derivative for each function z = f(x, y).... Problem 12E: In Problems 1724, find the indicated first-order partial derivative for each function z = f(x, y).... Problem 13E Problem 14E Problem 15E Problem 16E: In Problems 1724, find the indicated first-order partial derivative for each function z = f(x, y).... Problem 17E: In Problems 2532, find the indicated value. 25.fx(1,3)iff(x,y)=5x3y4xy2 Problem 18E: In Problems 2532, find the indicated value. 26.fx(4,1)iff(x,y)=x2y25xy3 Problem 19E: In Problems 2532, find the indicated value. 27.fy(1,0)iff(x,y)=3xey Problem 20E: In Problems 2532, find the indicated value. 28.fy(2,4)iff(x,y)=x4lny Problem 21E: In Problems 2532, find the indicated value. 29.fy(2,1)iff(x,y)=ex24y Problem 22E: In Problems 2532, find the indicated value. 30.fy(3,3)iff(x,y)=e3xy2 Problem 23E: In Problems 2532, find the indicated value. 31.fx(1,1)iff(x,y)=2xy1+x2y2 Problem 24E: In Problems 2532, find the indicated value. 32.fx(1,2)iff(x,y)=x2y21+x2 Problem 25E: In Problems 3338, M(x, y) = 68 + 0.3x 0.8y gives the mileage (in mpg) of a new car as a function of... Problem 26E: In Problems 3338, M(x, y) = 68 + 0.3x 0.8y gives the mileage (in mpg) of a new car as a function of... Problem 27E: In Problems 3338, M(x, y) = 68 + 0.3x 0.8y gives the mileage (in mpg) of a new car as a function of... Problem 28E: In Problems 3338, M(x, y) = 68 + 0.3x 0.8y gives the mileage (in mpg) of a new car as a function of... Problem 29E: In Problems 3338, M(x, y) = 68 + 0.3x 0.8y gives the mileage (in mpg) of a new car as a function of... Problem 30E: In Problems 3338, M(x, y) = 68 + 0.3x 0.8y gives the mileage (in mpg) of a new car as a function of... Problem 31E: In Problems 3950, find the indicated second-order partial derivative for each function f(x, y).... Problem 32E: In Problems 3950, find the indicated second-order partial derivative for each function f(x, y).... Problem 33E: In Problems 3950, find the indicated second-order partial derivative for each function f(x, y).... Problem 34E Problem 35E: In Problems 3950, find the indicated second-order partial derivative for each function f(x, y).... Problem 36E Problem 37E Problem 38E Problem 39E: In Problems 3950, find the indicated second-order partial derivative for each function f(x, y).... Problem 40E: In Problems 3950, find the indicated second-order partial derivative for each function f(x, y).... Problem 41E: In Problems 3950, find the indicated second-order partial derivative for each function f(x, y).... Problem 42E Problem 43E Problem 44E: ln Problems 5160, find the indicated function or value if C(x, y) = 3x2 + l0xy 8y2 + 4x 15y 120.... Problem 45E Problem 46E: ln Problems 5160, find the indicated function or value if C(x, y) = 3x2 + l0xy 8y2 + 4x 15y 120.... Problem 47E: ln Problems 5160, find the indicated function or value if C(x, y) = 3x2 + l0xy 8y2 + 4x 15y 120.... Problem 48E: ln Problems 5160, find the indicated function or value if C(x, y) = 3x2 + l0xy 8y2 + 4x 15y 120.... Problem 49E: ln Problems 5160, find the indicated function or value if C(x, y) = 3x2 + l0xy 8y2 + 4x 15y 120.... Problem 50E: ln Problems 5160, find the indicated function or value if C(x, y) = 3x2 + l0xy 8y2 + 4x 15y 120.... Problem 51E: ln Problems 5160, find the indicated function or value if C(x, y) = 3x2 + l0xy 8y2 + 4x 15y 120.... Problem 52E: ln Problems 5160, find the indicated function or value if C(x, y) = 3x2 + l0xy 8y2 + 4x 15y 120.... Problem 53E: In Problems 6166, S(T, r) = 50(T 40)(5 r) gives an ice cream shops daily sales as a function of... Problem 54E: In Problems 6166, S(T, r) = 50(T 40)(5 r) gives an ice cream shops daily sales as a function of... Problem 55E: In Problems 6166, S(T, r) = 50(T 40)(5 r) gives an ice cream shops daily sales as a function of... Problem 56E Problem 57E Problem 58E: In Problems 6166, S(T, r) = 50(T 40)(5 r) gives an ice cream shops daily sales as a function of... Problem 59E: (A) Let f(x, y) = y3 + 4y2 5y + 3. Show that f/x = 0. (B) Explain why there are an infinite number... Problem 60E: (A) Find an example of a function f(x, y) such that f/x = 3 and f/y = 2. (B) How many such functions... Problem 61E: In Problems 6974, find fxx(x, y), fxy(x, y), fyx(x, y), and fyy(x, y), for each function f. 69.f(x,... Problem 62E: In Problems 6974, find fxx(x, y), fxy(x, y), fyx(x, y), and fyy(x, y), for each function f. 70.f(x,... Problem 63E: In Problems 6974, find fxx(x, y), fxy(x, y), fyx(x, y), and fyy(x, y), for each function f.... Problem 64E: In Problems 6974, find fxx(x, y), fxy(x, y), fyx(x, y), and fyy(x, y), for each function f.... Problem 65E: In Problems 6974, find fxx(x, y), fxy(x, y), fyx(x, y), and fyy(x, y), for each function f. 73.f(x,... Problem 66E Problem 67E Problem 68E: For C(x,y)=2x2+2xy+3y216x18y54 find all values of x and y such that Cx(x,y)=0andCy(x,y)=0... Problem 69E: 77. For F(x,y)=x32x2y22x4y+10 find all values of x and y such that Fx(x,y)=0andFy(x,y)=0... Problem 70E Problem 71E Problem 72E: Let f(x, y) = 5 2x + 4y 3x2 y2. (A) Find the minimum value of f(x, y) when x = 2. (B) Explain why... Problem 73E Problem 74E: 82. Let f(x, y) = ex + 2ey + 3xy2 + 1. (A) Use graphical approximation methods to find d (to three... Problem 75E Problem 76E Problem 77E: Profit function. A firm produces two types of calculators each week, x of type A and y of type B.... Problem 78E: Advertising and sales. A company spends x per week on online advertising and y per week on TV... Problem 79E: Demand equations. A supermarket sells two brands of coffee: brand A at p per pound and brand B at q... Problem 80E: Revenue and profit functions. A company manufactures 10- and 3-speed bicycles. The weekly demand and... Problem 81E Problem 82E: Productivity. The productivity of an automobile-manufacturing company is given approximately by the... Problem 83E Problem 84E: Problems 9194 refer to the following: If a decrease in demand for one product results in an increase... Problem 85E: Problems 9194 refer to the following: If a decrease in demand for one product results in an increase... Problem 86E: Problems 9194 refer to the following: If a decrease in demand for one product results in an increase... Problem 87E: Medicine. The following empirical formula relates the surface area A (in square inches) of an... Problem 88E: Blood flow. Poiseuilles law states that the resistance R for blood flowing in a blood vessel varies... Problem 89E: Physical anthropology. Anthropologists use the cephalic index C, which varies directly as the width... Problem 90E: Safety research. Under ideal conditions, if a person driving a car slams on the brakes and skids to... format_list_bulleted
Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,