(2) Let f(z, y)-xy +x-y be defined on the closed disk {(z, y) E R2 :...

Question

Question

(2) Let f(z, y)-xy +x-y be defined on the closed disk {(z, y) E R2 : z? + y2 < 4} of radius 2. (a) Find the maximu and minimu

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Olution (o,o) Maximun oL Dut at (o,o) axt m um (o,o) intmuM to,o) 0,0 by V maxi mummiimm whn even Max resp MInimum 3y pond It,-| Cati cal, is min N to LO mat

Add a comment

Answer 2

Similar Homework Help Questions

(i) Give an example of a function f(x,y) that is defined and continuous on the closed unit disk B...

(i) Give an example of a function f(x,y) that is defined and continuous on the closed unit disk B(0) ((,y) E R2 but does not achieve a maximum on the punc- 2 marks] tured closed disk B.(0 )"-{ (z, y) E R2 10c x2 + y2 < 1} (i) Give an example of a function f(x,y) that is defined and continuous on the closed unit disk B(0) ((,y) E R2 but does not achieve a maximum on the punc- 2...
Let f : R2 + R be defined by f(x,y) = |xy|e-(z?+y?). Evaluate SR2 f, if...

Let f : R2 + R be defined by f(x,y) = |xy|e-(z?+y?). Evaluate SR2 f, if it exists
Let f:R2→R be defined by f(x,y) =|xy|e−(x2+y2). Evaluate ∫R2f, if it exists Let f : R2...

Let f:R2→R be defined by f(x,y) =|xy|e−(x2+y2). Evaluate ∫R2f, if it exists Let f : R2 + R be defined by f(L,y) = [tyle=(3++y?). Evaluate Sir2 f, if it exists

2. Let f(x, y) = xy (2] (a) Findäf af and Vf. 5 (b) Find a...

2. Let f(x, y) = xy (2] (a) Findäf af and Vf. 5 (b) Find a unit vector u for which Duf(v2, V2) = 0. 2. Let f(x, y) = xy (2] (a) Findäf af and Vf. 5 (b) Find a unit vector u for which Duf(v2, V2) = 0.
Problem 2 (Eigenvalues and Eigenvectors). (a) If R2-R2 be defined by f(x,y) = (y,z), then find al...

please answer both a and b Problem 2 (Eigenvalues and Eigenvectors). (a) If R2-R2 be defined by f(x,y) = (y,z), then find all the eigenvalues and eigenvectors of f Hint: Use the matrix representation. (b) Let U be a vector subspace (U o, V) of a finite dimensional vector space V. Show that there exists a linear transformation V V such that U is not an invariant subspace of f. Hence, or otherwise, show that: a vector subspace U-o or...
Let E be the solid that lies inside the cylinder x^2 + y^2 = 1, above the xy-plane, and below the...

Let E be the solid that lies inside the cylinder x^2 + y^2 = 1, above the xy-plane, and below the plane z = 1 + x. Let S be the surface that encloses E. Note that S consists of three sides: S1 is given by the cylinder x^2 + y^2 = 1, the bottom S2 is the disk x^2 + y^2 ≤ 1 in the plane z = 0, and the top S3 is part of the plane z...

b) i. Using e-8 definition show that f is continuous at (0,0), where f(x,y) = {aš...

b) i. Using e-8 definition show that f is continuous at (0,0), where f(x,y) = {aš sin () + yś sin () if xy + 0 242ADES if xy = 0 ii. Prove that every linear transformation T:R" - R" is continuous on R". iii. Let f:R" → R and a ER" Define Dis (a), the i-th partial derivative of f at a, 1 sisn. Determine whether the partial derivatives of f exist at (0,0) for the following function. In...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) i...

e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) is A. z + y = e2 B. I+y e C. z+y 3. D. None of the above (7) 2 points The gradient of f(z,y, z) = ep at the point (-1,-1,2) is A. (2e2,e2,2e2). B. (-e,-e,2e2). C. (-2e2,-2e2, e) D. (-2e2,-e,-e) (8) 2 points Let f be a function defined and continuous, with continuous first...
Problem 1: Let F(, y,) be a function given by F(, y, z) (r2+y)e. Let S be the surface in R given ...

Problem 1: Let F(, y,) be a function given by F(, y, z) (r2+y)e. Let S be the surface in R given by the equation Fr, y, 2) 2. (a) Find an equation of the tangent plane to the surface S at the point p(-1,1,0) (b)Find the directional derivative -1,1,0) of F(,y,2) in the direction of the unit vector u = (ui, t», t's) at the point p(-1,1,0) - In what direction is this derivative maximal? In what direction is...

Let F(x,y,z) = 4i – 3j + 5k and S be the surface defined by z=...

Let F(x,y,z) = 4i – 3j + 5k and S be the surface defined by z= x2 + y2 and 22 + y2 < 4. Evaluate SJ, F. nds, where n is the upward unit normal vector.

(2) Let f(z, y)-xy +x-y be defined on the closed disk {(z, y) E R2 :...

Homework Answers

Add Answer to:
(2) Let f(z, y)-xy +x-y be defined on the closed disk {(z, y) E R2 :...

Post as a guest

Earn Coins

(i) Give an example of a function f(x,y) that is defined and continuous on the closed unit disk B...

Let f : R2 + R be defined by f(x,y) = |xy|e-(z?+y?). Evaluate SR2 f, if...

Let f:R2→R be defined by f(x,y) =|xy|e−(x2+y2). Evaluate ∫R2f, if it exists Let f : R2...

2. Let f(x, y) = xy (2] (a) Findäf af and Vf. 5 (b) Find a...

Problem 2 (Eigenvalues and Eigenvectors). (a) If R2-R2 be defined by f(x,y) = (y,z), then find al...

Let E be the solid that lies inside the cylinder x^2 + y^2 = 1, above the xy-plane, and below the...

b) i. Using e-8 definition show that f is continuous at (0,0), where f(x,y) = {aš...

e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) i...

Problem 1: Let F(, y,) be a function given by F(, y, z) (r2+y)e. Let S be the surface in R given ...

Let F(x,y,z) = 4i – 3j + 5k and S be the surface defined by z=...

(2) Let f(z, y)-xy +x-y be defined on the closed disk {(z, y) E R2 :...

Homework Answers

Add Answer to: (2) Let f(z, y)-xy +x-y be defined on the closed disk {(z, y) E R2 :...

Post as a guest

Earn Coins

Add Answer to:
(2) Let f(z, y)-xy +x-y be defined on the closed disk {(z, y) E R2 :...