# Let f be a multivariable function

**Qualitywritings2000**

**Introduction:**

Let f be a multivariable function defined by f(x, y) = x3y â€“ x2y2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of the task.

** Requirements: **

A. Explain how to find the direction of maximum increase for f at your chosen point, showing all required work.

B. Explain how to find the direction of maximum decrease for f at your chosen point, showing all required work.

C. Explain how to find the equation of the tangent plane to f at your chosen point, showing all required work.

D. Explain how to find the equation of the normal line to f at your chosen point, showing all required work.

E. Demonstrate that the second derivative test for local extreme values of f is inconclusive for all points on the y-axis.

- 7 years ago

**Let f be a multivariable function**

Purchase the answer to view it

- correct_solution.docx

### multivariate function - min, max, eq of tan plane,normal line, second derivative test for extreme values

Let

*f*be a multivariable function defined by*f*(*x*,*y*) =*x*^{3}*y*â€“*x*^{2}*y*^{2}where*x*and*y*are real numbers. Choose the same point to use as you work to complete parts A through D of the task.A.â€¦

6 years ago### Let f be a multivariable function defined by f(x, y) = x^3y â€“ x^2y^2 where x and y are real numbers.

Let f be a multivariable function defined by f(x, y) = x^3y â€“ x^2y^2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of the task.

Requirements:

A. â€¦7 years ago### Let f be a multivariable function defined by f(x, y) = x3y â€“ x2y2 where x and y are real numbers

NOT RATEDLet f be a multivariable function defined by f(x, y) = x3y â€“ x2y2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of the task.

Task:

A. â€¦7 years ago### Multivariable function

NOT RATED**Multivariable function**Let f be a multivariable function defined by f(x, y) = x3y â€“ x2y2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of â€¦

6 years ago### A+ Answers

NOT RATEDLetfbe a multivariable function defined byf(x,y) =x^(3)yâ€“x^(2)y^(2)wherexandyare real numbers. Choose the same â€¦

6 years ago### Let f be a multivariable function defined by f(x, y) = x^3y â€“ x^2y^2 where x and y are real numbers.

NOT RATEDLet f be a multivariable function defined by f(x, y) = x^3y â€“ x^2y^2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of the task.

Requirements:

A. â€¦6 years ago### Let f be a multivariable function defined by f(x, y) = x3y â€“ x2y2

NOT RATEDLet f be a multivariable function defined by f(x, y) = x3y â€“ x2y2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of the task.

A. Explain how to â€¦

6 years ago### Let f be a multivariable function defined by f(x, y) = x3y â€“ x2y2 where x and y are real numbers

NOT RATEDLet f be a multivariable function defined by f(x, y) = x3y â€“ x2y2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of the task.

Task:

A. Explain â€¦5 years ago