True or False answer question 4 .True or False1. If f(x, y)≥ g(x, y) for all (x, y), then ſƒ ƒ(x, y)dA> ffg(x, y)d A..( )2. Suppose that z = f(x, y) is a differentiable function of x and y, where x = g(t) andy = h(t) are both differentiable functions of t. Then z is a differentiable function ofdyt and d = of dr + or dr.dxdt3. If z = f(x, y) = x² + 3xy-y², then dz=(2x+3y)dx +(3x-2y)dy..(4. The limit of the function f(x, y)=as (x, y) → (0,0) is 0. . .( )5. If f is continuous on D such that D = {(x, y) | a ≤ x ≤ b, g₁(x) ≤ y ≤g₂(x)}, thenSSD f(x,y)dA=fff(x,y)d ydx......)

We have to find the limit value of the given function.

Answered: The limit of the function f(x, y) = xy²…

Math

Calculus

The limit of the function f(x, y) = xy² as (x, y)→ (0,0) is 0..

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

True or False answer question 4

.
True or False
1. If f(x, y)≥ g(x, y) for all (x, y), then ſƒ ƒ(x, y)dA> ffg(x, y)d A..
( )
2. Suppose that z = f(x, y) is a differentiable function of x and y, where x = g(t) and
y = h(t) are both differentiable functions of t. Then z is a differentiable function of
dy
t and d = of dr + or dr.
dx
dt
3. If z = f(x, y) = x² + 3xy-y², then dz=(2x+3y)dx +(3x-2y)dy..
(
4. The limit of the function f(x, y)=as (x, y) → (0,0) is 0. . .
( )
5. If f is continuous on D such that D = {(x, y) | a ≤ x ≤ b, g₁(x) ≤ y ≤g₂(x)}, then
SSD f(x,y)dA=fff(x,y)d ydx......
)

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