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Show that \(y₀³y = x\) has a solution \(y = \frac{e³ˣ}{3x + 9}\).

A. \(y = e³ˣ\)
B. \(y = \frac{1}{3x + 9}\)
C. \(y = \frac{e³ˣ}{3x + 9}\)
D. \(y = x\)

User Inkling
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Final Answer:

To display all possible combinations, a suitable choice would be:

a) Nested loop

Step-by-step explanation:

A nested loop is the most appropriate choice for displaying all possible combinations. A nested loop is a loop inside another loop, and it allows for iterating over each element in multiple dimensions, generating all combinations of values. This is particularly useful when dealing with nested structures or when exploring permutations of different variables. Nested loops are flexible and can be adapted to various scenarios where combinations need to be systematically generated and displayed.

Using a nested loop structure, you can iterate over each element in one loop and, within it, iterate over another set of elements in another loop. This allows you to cover all possible combinations of the elements in the nested loops. This approach is powerful for scenarios such as generating combinations of numbers, characters, or any other elements in a systematic way.

While for loops, while loops, and if-else statements are valuable in programming, they are not inherently designed for generating all possible combinations. For example, a for loop typically iterates over a specified range, and a while loop executes code as long as a condition is true. If-else statements are used for conditional execution based on a given condition. These constructs are not as well-suited for systematically exploring all combinations as nested loops are.

User Nikhil Thombare
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