“The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _____, denoted by z = _ _ _ _ ”.

Question

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Answer 1

Question

Chapter 8, Problem 1CRQ

To determine

To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.

Expert Solution & Answer

Answer to Problem 1CRQ

“The domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Explanation of Solution

Suppose that f is a real valued function and consist of two variables x and y.

These variables are called independent variables.

The domain of the function is a set of ordered pairs of real numbers (x,y) .

Each ordered pair in the domain will associate with only one real number.

That real number is denoted as z, which is dependent on the values of x and y. So, z is called dependent variable.

Here z=f(x,y) means that the value of f at the point (x,y) is z.

Thus, “the domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

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Answer 2

Question

Chapter 8, Problem 1CRQ

To determine

To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.

Expert Solution & Answer

Answer to Problem 1CRQ

“The domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Explanation of Solution

Suppose that f is a real valued function and consist of two variables x and y.

These variables are called independent variables.

The domain of the function is a set of ordered pairs of real numbers (x,y) .

Each ordered pair in the domain will associate with only one real number.

That real number is denoted as z, which is dependent on the values of x and y. So, z is called dependent variable.

Here z=f(x,y) means that the value of f at the point (x,y) is z.

Thus, “the domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 8, Problem 1CRQ

To determine

To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.

Expert Solution & Answer

Answer to Problem 1CRQ

“The domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Explanation of Solution

Suppose that f is a real valued function and consist of two variables x and y.

These variables are called independent variables.

The domain of the function is a set of ordered pairs of real numbers (x,y) .

Each ordered pair in the domain will associate with only one real number.

That real number is denoted as z, which is dependent on the values of x and y. So, z is called dependent variable.

Here z=f(x,y) means that the value of f at the point (x,y) is z.

Thus, “the domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 8, Problem 1CRQ

To determine

To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.

Expert Solution & Answer

Answer to Problem 1CRQ

“The domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Explanation of Solution

Suppose that f is a real valued function and consist of two variables x and y.

These variables are called independent variables.

The domain of the function is a set of ordered pairs of real numbers (x,y) .

Each ordered pair in the domain will associate with only one real number.

That real number is denoted as z, which is dependent on the values of x and y. So, z is called dependent variable.

Here z=f(x,y) means that the value of f at the point (x,y) is z.

Thus, “the domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 8, Problem 1CRQ

To determine

To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.

Expert Solution & Answer

Answer to Problem 1CRQ

“The domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Explanation of Solution

Suppose that f is a real valued function and consist of two variables x and y.

These variables are called independent variables.

The domain of the function is a set of ordered pairs of real numbers (x,y) .

Each ordered pair in the domain will associate with only one real number.

That real number is denoted as z, which is dependent on the values of x and y. So, z is called dependent variable.

Here z=f(x,y) means that the value of f at the point (x,y) is z.

Thus, “the domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Answer 6

Chapter 8, Problem 1CRQ

To determine

To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.

Expert Solution & Answer

Answer to Problem 1CRQ

“The domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Explanation of Solution

Suppose that f is a real valued function and consist of two variables x and y.

These variables are called independent variables.

The domain of the function is a set of ordered pairs of real numbers (x,y) .

Each ordered pair in the domain will associate with only one real number.

That real number is denoted as z, which is dependent on the values of x and y. So, z is called dependent variable.

Here z=f(x,y) means that the value of f at the point (x,y) is z.

Thus, “the domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Answer 7

Chapter 8, Problem 1CRQ

To determine

To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.

Answer 8

Expert Solution & Answer

Answer to Problem 1CRQ

“The domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Suppose that f is a real valued function and consist of two variables x and y.

These variables are called independent variables.

The domain of the function is a set of ordered pairs of real numbers (x,y) .

Each ordered pair in the domain will associate with only one real number.

That real number is denoted as z, which is dependent on the values of x and y. So, z is called dependent variable.

Here z=f(x,y) means that the value of f at the point (x,y) is z.

Thus, “the domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by z=f(x,y) ”.

Answer 12

Ch. 8.1 - What is a function of two variables? Give an...Ch. 8.1 - Prob. 2CQ Ch. 8.1 - Prob. 3CQ Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Let f(x, y) = x2+ 2xy x + 3. Compute f(1, 2),...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Let h(s, t) = s ln t t ln s. Compute h(1, e),...

“The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _____, denoted by z = _ _ _ _ ”.

Concept explainers

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To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.

Answer to Problem 1CRQ

Explanation of Solution

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Chapter 8 Solutions

“The domain of a function f of two variables is a subset of the _______-plane. The rule of f associate with each ______ _____ in the domain of f one and only one _______, denoted by z = _ _ _ _ ”.

Concept explainers

Videos

To fill: “The domain of a function f of two variables is a subset of the _______-plane. The rule of f associate with each ______ _____ in the domain of f one and only one _______, denoted by z=____ ”.

Answer to Problem 1CRQ

Explanation of Solution

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Chapter 8 Solutions

“The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _____, denoted by z = _ _ _ _ ”.

To fill: “The domain of a function f of two variables is a subset of the ___-plane. The rule of f associate with each _ in the domain of f one and only one _, denoted by z= ”.