Find the Domain x^4+64y^4

Problem

x4+64*y4

Solution

1. Identify the type of expression provided. The expression x4+64*y4 is a bivariate polynomial.

2. Determine if there are any restrictions on the variables. Polynomials are defined for all real numbers because they do not involve division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Define the domain for a function of two variables ƒ(x,y)=x4+64*y4 Since there are no mathematical constraints, the domain consists of all ordered pairs (x,y) in the Cartesian plane.

4. State the domain using set-builder notation or interval notation for both x and y

Final Answer

Domain={(x,y)∈ℝ2}

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