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True or False 1. If f(x, y) > g(x, y) for all (x, y), then ff f(x, y)dA> ff g(x, y)d A.... ) R 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 af dx t and d = of dr + dr. af dy ax 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 S₁ f(x, y)dA= S₂ f(x) f(x, y)d ydx... •( ) 8₁(x)

True or False 1. If f(x, y) > g(x, y) for all (x, y), then ff f(x, y)dA> ff g(x, y)d A.... ) R 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 af dx t and d = of dr + dr. af dy ax 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 S₁ f(x, y)dA= S₂ f(x) f(x, y)d ydx... •( ) 8₁(x)

College Algebra (MindTap Course List)
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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True or false answer question 1

. 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...... )
Transcribed Image Text:. 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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