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Find the Domain l=2nrh

Problem

l=2*n*r*h

Solution

  1. Identify the variables in the expression. The equation l=2*n*r*h represents a relationship where l is a dependent variable determined by the product of n r and h

  2. Check for mathematical restrictions. In this expression, there are no denominators that could be zero, no square roots of negative numbers, and no logarithms of non-positive numbers.

  3. Determine the domain for each variable. Since the expression consists only of multiplication, the variables n r and h can mathematically be any real number.

  4. Consider physical context. If this formula represents a physical property (such as the lateral surface area of a cylinder where n=π, the variables r and h would typically be restricted to r>0 and h>0 However, strictly as a mathematical expression, the domain is all real numbers.

Final Answer

Domain:{(n,r,h)∈ℝ3}


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