MML_B.6b_Chapter 9 Section 9.3 Extrema for Functio-Tien Nguyen.pdf - Instructor Cassandra Bowell Course

# MML_B.6b_Chapter 9 Section 9.3 Extrema for Functio-Tien Nguyen.pdf

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1. 2. *3. *4. Student: Tien Nguyen Date: 03/28/18 Instructor: Cassandra Bowell Course: 2018sp-MATH-1370- [email protected] Assignment: MML_B.6b_Chapter 9 Section 9.3 Extrema for Functio Describe the procedure for finding critical points of a function in two independent variables. Choose the correct answer below. A. For a function , begin by finding , , and . Then solve the equations and 0 for x and y. These solutions are the critical points. f(x,y) f xx f yy f xy f f f = 0 xx yy xy 2 f xx = B. For a function , begin by finding and . Then solve the system of equations 0 and 0 for x and y. These solutions are the critical points. f(x,y) f xx f yy f xx = f yy = C. For a function , begin by finding and . Then solve the equations and 0 for x and y. These solutions are the critical points. f(x,y) f x f y f f − f = 0 x y 2 f x = D. For a function , begin by finding and . Then solve the system of equations 0 and 0 for x and y. These solutions are the critical points. f(x,y) f x f y f x = f y = For the function defined as follows, find all values of and such that both 0 and 0. x y f (x,y) x = f (x,y) y = f(x,y) = 2x + 5y + 4xy + 36x − 3 2 2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There are two solutions where 0 and 0, in order from increasing x values, when x and y and x and y . f (x,y) x = f (x,y) y = = = = = (Type integers or simplified fractions.) B. There is only one solution where 0 and 0, when x and y . f (x,y) x = f (x,y) y = = − 15 = 6 (Type integers or simplified fractions.) C. There are three solutions where 0 and 0, in order from increasing x values, when x and y and x and y and x and y .

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