السر و عقد الأجبية The level curve of f(x,y)= are 25-x- A circle center at (0,0)...

Question

Question

math calculus

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

3. Find lim f(,y) if it exists, and determine if f is continuous at (0,0. (x,y)--(0,0)...

3. Find lim f(,y) if it exists, and determine if f is continuous at (0,0. (x,y)--(0,0) (a) f(1,y) = (b) f(x,y) = { 0 1-y if(x, y) + (0,0) if(x,y) = (0,0) 4. Find y (a) 3.c- 5xy + tan xy = 0. (b) In y + sin(x - y) = 1.
' + 5y6 if (x, y) = (0,0) Which of the following functions is continuous at...

' + 5y6 if (x, y) = (0,0) Which of the following functions is continuous at (0,0)? (i) f(x,y) = if (x, y) = (0,0) Xy5 0 (ii) g(x, y) = xo + 2y if (x, y) + (0,0) if (x, y) = (0,0) 0 V2 + y2 +9 - 3 *++y? (iii) h(x, y) = if (x, y) + (0,0) 3 if (x, y) = (0,0) (A) (i) only (B) (ii) only (C) all of them (D) (i) and...
Exercice 2 (5pts) Let f given by f(x, y) Isinyif (x, y) (0,0) and f(0,0) 0...

Exercice 2 (5pts) Let f given by f(x, y) Isinyif (x, y) (0,0) and f(0,0) 0 1V224 1. Is f continuous at (0,0). 2. Compute the partial derivatives of f at any (x, y) E R2. Are the partial derivatives continuous (0,0). at (0,0) (0,0) and 3. Compute the second derivatives 4. Compute the linear approzimant of f at (0,0). Exercice 2 (5pts) Let f given by f(x, y) Isinyif (x, y) (0,0) and f(0,0) 0 1V224 1. Is f...

Putin uhd e integral lound a r the val- 0 VIIl, 81. EXERCISES Compute the curve integrals of the ...

No 3 putin uhd e integral lound a r the val- 0 VIIl, 81. EXERCISES Compute the curve integrals of the vector field over the indicated curves. (x,y)=(x2-2xy,y2-2xy) along the, parabola y=x2 from (-2,4) to 2. 0x, y, xz - y) over the line segment from (0,0, 0) to (1, 2, 4), 3, Let r (x2 y2)1/2 Let F(X)-X. Find the integral of F over the circle of radius 2, taken in counterclock wise direction. 4. Let C be a...
In each of the following exercises, you are given a force field F = F(x, y),...

In each of the following exercises, you are given a force field F = F(x, y), in Newtons, and a oriented, closed curve C in the xy-plane, where x and y are in meters. Use Green's Theorem to calculate the work done by F along C. 9. F(x, y) = (2,5 – yº, x3 – y5), and C is the curve which starts at (0,0), moves along a line segment to (1/V2,1/V2), moves counterclockwise along the circle of radius 1,...
show all work 2 Find the center and radius of the circle x +y = 49...

show all work 2 Find the center and radius of the circle x +y = 49 a. center: (-1, 1), radius: 11 b. center: (0, 0), radius: 11 C. center: (-7,-11), radius: 7 d. center: (0, 0), radius: 7 e. center: (-1, -1), radius: 7

2. Define f : RR by - y 1(x) = { "2+2 (ay) (0,0); (z,y) =...

2. Define f : RR by - y 1(x) = { "2+2 (ay) (0,0); (z,y) = (0,0). (i) Isf continuous at (0,0)? Justify your answer. (ii) Show that Daf(3,0) = x for all x and D.f(0,y) = -y for all y (iii) D2f(0,0) + D2,1f(0,0). (iv) Is f differentiable at (0,0)? Justify your answer.
Define f: R2R by 224V2 y) (0,0) 0 if (x, y)-(0,0) if (z, f(z, y) (a)...

Define f: R2R by 224V2 y) (0,0) 0 if (x, y)-(0,0) if (z, f(z, y) (a) Prove that Dif(z, y) and D2f (x, y) exist for each (x, y) E R2. (b) Prove that f is not continuous at (0,0).
Show an example of F(x,y) defined on [0,+∞)× [0, +∞) such that (i) F(0,0) = 0,...

Show an example of F(x,y) defined on [0,+∞)× [0, +∞) such that (i) F(0,0) = 0, (ii) F(+∞,+∞)=1 (iii) for every x ≥ 0, F (x, y) is increasing in y; for every y ≥ 0, F (x, y) is increasing in x, (iv) and yet, F(x,y) is not a valid joint CDF function. That is, there is no random vector (X, Y ) whose joint CDF is F

x?sin’y If the function f(x y)= { x2 +2V2' (x,y) (0,0) is continuous at (0,0), then...

x?sin’y If the function f(x y)= { x2 +2V2' (x,y) (0,0) is continuous at (0,0), then (x y) = (0,0) AK) Ox= 1/2 0-1 .k=0 ok=2 ok=1