Question: Suppose ( x 0 , y 0 ) is a critical point of a function f with continuous second derivatives. What can you say about

Suppose (x0,y0) is a critical point of a function f with continuous second derivatives. What can you say about f?
,f(x0,y0)=-6,fxy(x0,y0)=3,fyy(x0,y0)=-6
D(x0,y0)=
(type: local max, local min, saddle)
Suppose ( x 0 , y 0 ) is a critical point of a

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
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!

Q:

Problem 1. Let f(a:, y, z) : ln(.732 + 3/2 | 22). a) What is the direction of maximal increase of f at the point (1, l, 1)? b) At the point (1, 1, 1), llOW far in the direction found in (a) do you...

Q:

Problem 5. (18 points) From Wikipedia: In computer architecture, Amdahl's law is a formula which gives the theoretical speedup in latency of the execution of a task at fixed workload that can be...

Q:

Problem 2. Consider the function f(n:,y] = 3:4 + yd. (a) Explain that {0,0} is a critical point. (b) What dees the second derivative test say about the behaviour of f near (0,0)? (e) In spite of the...

Q:

Note: Please make sure you show the full steps of solutions and your answer should be correct. Question 1) (1 point) Suppose that f(x) = x -521/5 (A) Find all critical values of f. If there are no...

Q:

Suppose (1,1) is a critical point of a function f with continuous second derivatives. In each case, what can you say about f ? (a) fxx(1,1)=1,fxy(1,1)=2,fyy(1,1)=5 The critical point (1,1) is a local...

Q:

13. [-/2 Points] DETAILS If U and V are positive constants, find the critical point of the function. Use upper case letters. F(t) = Uet + Vet t = 14. [-/4 Points] DETAILS Find all critical points of...

Q:

Suppose (0, 2) is a critical point of a function t with continuous second derivatives. In each case, what can you say about t? (a) t xx (0, 2) = -1, g xy (0, 2) = 6, g yy (0, 2) = 1 (b) t xx (0, 2) =...

Q:

Suppose ( 1 , 1 ) is a critical point of a function f with continuous second derivatives. What can you say about f ? f ( 1 , 1 ) = 4 , f x v ( 1 , 1 ) = 1 , f m ( 1 , 1 ) = 2 D ( 1 , 1 ) = nature of...

Q:

(d) lim [p(x)]f(x) = 1. (1 point) x-+al Suppose that lim f(x) = 0, limg(x) = 0, limh(x) = x-+a 1, lim p(x) = 0o, and lim q(x) = co. (e) lim [p(x) 19(x) = Evaluate each of the following limits. (a)...

Q:

Problems 11, 13, 18, 22, 33 please 94 CHAPTER 1 . FUNCTIONS OF SEVERAL VARIABLES SECTION 1.8 EXERCISES Review Questions 1. Describe the appearance of a smooth surface with a local maxi- 30. f(x, y) =...

Q:

Consider the circuit shown in Fig. 4.81, where Is1 = 31s2 = 5 10-6 A, B = 100, B = 50, VA = , and Rc = 500 $2. (a) We wish to forward-bias the collector- base junction of Q by no more than 200 mV....

Q:

Hemming Company reported the following current-year purchases and sales for its only product. Date January 11 January 10 Activities Beginning inventory Units Acquired at Cost $13.80- Sales March 14....

Q:

Eurocredits are: Bank loans denominated in a currency other than that of the country where the bank is located Often at a floating rate of interest Often syndicated to include several banks All of...

Q:

Generate a project risk matrix for the Bike-sharing kiosks project and discuss the importance of defining the project risks. The WBS should contain the task, dependencies, the resources that are...