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 local min. OD. 1 saddle pt. and 1 local max. O E 2 saddle pt.
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.
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...
8. Test the function, f(x,y) = x3 - 3xy + y2 + y - 5 for relative extrema and saddle points. For full credit, express your answers using ordered triples.
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
Question 20 Classify the point (1, 1) by the function f(x, y) = 4 + x3 + y2 – 3xy. Not a critical point Absolute minimum Local maximum Local minimum Absolute maximum None of the above or below
(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
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
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,...
Find the relative minimum of f(x,y)= x² + y2, subject to x+y=1. OA. f 1 1 22 = 1 OB. f(0,1)= 2 OC. 1 1 1 (2) - OD. f(0,1)= 1