Question: Find the absolute maxima and absolute minima of the function on the given 6 puan domain. f(x, y) = x2 + 10x + y2

Find the absolute maxima and absolute minima of the function on the

Find the absolute maxima and absolute minima of the function on the given 6 puan domain. f(x, y) = x2 + 10x + y2 + 12y + 9 on the rectangular region -1 sxs1, -2 sy s2 Absolute maximum: 48 at (1, 2); absolute minimum: 9 at (0, 0) Absolute maximum: 48 at (1, 2); absolute minimum: -20 at (-1, -2) O 1. seenek O 2. seenek Absolute maximum: 61 at (2, 2); absolute minimum: 9 at (0, 0) Absolute maximum: 61 at (2, 2); absolute minimum: -20 at (-1,-2) 3. seenek O 4. seenek

Step by Step Solution

★★★★★

3.46 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the absolute maximum and minimum of the function fx y x2 10x y2 12y 9 on the given rectangul... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Find the average value of the function on the given interval. (a) f(x) = 4x - x2, [0, 4] (b) g(x) = 3x, [1, 8] (c) f(t) = esin t cos t, [0, /2]

In Problem, find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x 3 - 3x 2 - 24x + 7, [-3, 6]

In Problem, find the absolute maxima and minima for f (x) on the interval [a, b]. f(x) = 9 + 6x 2 - x 3 , [-3, 10]

Question 2 Use the region R to evaluate the double integral. J J dy dx R bounded by y - ~x + 4, y = _x, y = 0 N / ~ O O O . PreviousQuestion 5 Find the absolute maxima and minima of the function on...

Qu Question 1 (1 point) For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. (4, 7 ) 6+ (6, 5) (-1,3) 3- 2+ (1, 2) X O a Absolute maximum: f(4) =...

Help!! The function f(x) is graphed below. It has domain (-co, -4) u (-4, co). y 10 5 X -10 -5 5 10 -5 - 10 Find the absolute maximum and absolute minimum y-values of f(x) on the given intervals, if...

5 Calculus Questions 1. Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 - 18x2 - 54x + 7, [-2, 4] absolute minimum absolute maximumFind the absolute...

(1 point) Find the absolute maximum and minimum values of f(x) = x ln(x) on the interval H ,7] . Absolute maximum value is (If there is no absolute maximum value, enter "none". Absolute minimum value...

10:50 Course MATH 132-CO3 Busin... . . . 6 of 6 Problem 16. (1 point) als on which f is Find the absolute maximum and absolute minimum values of the -coordinates of all function f(x)=x3+6x2 -63x+3 on...

9/21/22, 2:52 PM Homework 4-Maria Valles 14. For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute AT ( x ) maximum over the interval [1, 11]. 20- NT Select the...

Assume that your capital is constrained, so that you only have $500,000 available to invest in projects. If you invest in the optimal combination of projects given your capital constraint, then the...

If you were asked to advise a private employer (with no government contracts) of its equal employment opportunity responsibilities, what would you say?

Given the function g ( x ) = 1 1 0 x 2 0 - x 6 1 0 0 what is the second derivative of g ?

A three- sided die is tossed twice. The Verin diagram below reveals the information, where Ci, 2) means Ion the first toss and a on the second. ,2) (,3) (2,2) C2, 3) (3, 2) (3,3) where A is Hhe event...

The nightmare of Thomas Malthus is still a real possibility. (Macionis, 2012). Critically explain the statement in terms of population growth, environment and sustainable development.

Ariel owns 70% of Sabastian. During 2019, Sabastian sold 1000, units of Inventory to Ariel for $70 each. The units cost $50 to produce. A 12/31/2019 inventory count indicated the 300 units remained...

Carl Inc. purchased inventory on September 12, 2017 from a foreign customer for 750,000 units of foreign currency (FC) due on January 12, 2018. Simultaneously, the company entered into a forward...

CliftonStrengths Results Strategic Thinking: 88% Strategic Thinking is your dominant strength domain. You excel at absorbing and analyzing information to make better decisions and see what others...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 - 2x2 - 4x + 4, [-1, 3] absolute maximum (x, y) = absolute minimum (x, y ) =Find the absolute maxima and minima for f(x)...

Find the absolute maxima for the function below on the interval provided. Find the absolute maxima for the function: f (m) = 6 m + sin (6 m) on the interval [0, 2 7r]

2 . [, f (z ) + 9 (x ) dx -2.5 1 1. f (2x) da 12. Suppose f is a function. Expand > f(2k + 1) as the sum of four terms to get rid of the ). 13. Use Newton's method to find a root of the function f(x)...

Consider the function f ( x ) = x 3 + x 2 - x + 5 on the interval - 2 , 0 . Find f ' ( x ) . f ' ( x ) = Find the critical value of f ( x ) on the interval - 2 , 0 . x = Evaluate the function at the...

15.) Consider the following 15. DETAILS MY NOTES ASK YOUR TEACHER 3 2 Consider the function x) = x + x x + 9 on the interval [2, 0]. Find f'(x). Find the critical value of f(x) on the interval [2,...

Consider the function f(x) = x- 2x - 4x + 8 on the interval [-1, 3]. Find f'(x). 2 f'(x)=3x-4x-4 Nicely done! Find the critical values. --22 X = 3 .2 That's it! Evaluate the function at the critical...