QUESTION 16 The function f(x,y) = x -x- y2 + 2y has O A. 1 local...

Question

Question

QUESTION 16 The function f(x,y) = x -x- y2 + 2y has O A. 1 local max. 1 local min. OB. 1 saddle pt. and 1 local min. O C2 loc

math calculus

Answer 1

Answer #1

Liven fixiy)= 23 x - y²+2y. foo maximum minimum fociyl=o & fylay)= fa 372_1 fe=ox=21 J3 (1 62 fy=-2y +2 fy=oy=1 i points are

Please do like

Answer 2

Similar Homework Help Questions

QUESTION 23 The function f(x,y) = x3 – x- y2 + 2y has O A 1...

QUESTION 23 The function f(x,y) = x3 – x- y2 + 2y has O A 1 saddle pt. and 1 local min. OB. 1 local max. 1 local min. OC. 2 saddle pt. OD. 1 saddle pt. and 1 local max. O E. 2 local min.
Problem 3. (10 points) For the function f(x,y) = r? - Ty + y2 – 21+...

Problem 3. (10 points) For the function f(x,y) = r? - Ty + y2 – 21+ y, find all the critical point(s) and investigate whether it is (or they are) a saddle, local max or local min.
f(x, y) = x2 + y2 + 2xy + 6. 1- Find all the local extremas...

f(x, y) = x2 + y2 + 2xy + 6. 1- Find all the local extremas and 2) does the function f have an absolute max or min on R2

(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point (17) Consider the function f tha...

(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point (17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
Problem 8. (1 point) For the function f(x,y) = 4x² + 6xy + 2y”, find and...

Problem 8. (1 point) For the function f(x,y) = 4x² + 6xy + 2y”, find and classify all critical points. O A. (0,0), Saddle O B. (4,6), Saddle O C. (4,6), Relative Minimum OD. (0,0), Relative Minimum OE. (0,0), Saddle |(4,6), Relative Maximum
Let f(x,y) = 2x2 - 4x + y2 - 4y +1. 1) The number of critical...

Let f(x,y) = 2x2 - 4x + y2 - 4y +1. 1) The number of critical points of f is: a. 0 b. 1 c. 2 d. 3 Оа. Ob. Ос. Od 2) The point (1,2) is: a. a local maximum forf b. a local minimum forf a saddle point for c. Оа. Ob Oc. Let1 = f'secx dydx. .) The region of integration of I is represented by the blue region in b O a Od 2) By reversing...

Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2...

Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2 - 4xy + y2 + 6y +1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The loal maximum value(s) is/are (Type an exact answer. Use comma to separate answers as needed.) OB. There are no local...
Given a two-variable function f(x, y), if P(x0,yo) is a critical point, then the behavior of...

Given a two-variable function f(x, y), if P(x0,yo) is a critical point, then the behavior of f around P can be approximated by its second order terms according to Taylor series, that is, f(x,y) = f(P) + F(x – xo)?H (x, y) , where H(x, y) = fyy(P)(=%)2 + 2 fxy(P) (?=%) + fxx(P). (a). If H(x, y) > 0 for all x,y, is P a local max, local min or saddle point? (b). Let s = (4=90). Then, H(x,...
2. Let f(x,y) = 2x2 - 6xy + 3y2 be a function defined on xy-plane (a)...

2. Let f(x,y) = 2x2 - 6xy + 3y2 be a function defined on xy-plane (a) Find first and second partial derivatives of (b) Determine the local extreme points off (max., min., saddle points) if there are any. (c) Find the absolute max. and absolute min. values of f over the closed region bounded by the lines x= 1, y = 0, and y = x

Let f(x,y) = 4 + x² + y² – 3xy f has critical points at 10,0)...

Let f(x,y) = 4 + x² + y² – 3xy f has critical points at 10,0) and (1,1) use the second derivative test to classify these points as local min, local max, or saddle point