Find all locations and values of the local maxima and minima and the location of the saddle points of the given function.f(x.y) =x? - 6xy +y + 16y +72-6xy+y+16y+7Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. There are local maxima located at(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)O B. There are no local maxima.Find the value(s) of the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The values of the local maxima are(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)O B. There are no local maxima.Find the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. There are local minima located at(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.O B. There are no local minima.Find the value(s) of the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The values of the local minima are(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)O B. There are no local minima.Find the saddle point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. There are saddle points located at(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)O B. There are no saddle points.

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Find all locations and values of the local maxima and minima and the location of the saddle points of the given function. f(x.y) =x -6xy +y + 16y +7 .....

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

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

Find all locations and values of the local maxima and minima and the location of the saddle points of the given function.
f(x.y) =x? - 6xy +y + 16y +7
2-6xy+y+16y+7
Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. There are local maxima located at
(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)
O B. There are no local maxima.
Find the value(s) of the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The values of the local maxima are
(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)
O B. There are no local maxima.
Find the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. There are local minima located at
(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.
O B. There are no local minima.
Find the value(s) of the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The values of the local minima are
(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)
O B. There are no local minima.
Find the saddle point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. There are saddle points located at
(Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.)
O B. There are no saddle points.

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