Perfect squares. A perfect square is a number that can be written as a natural number squared. The first few perfect squares are 1, 4, 9, 16, 25, 36. How many perfect squares are less than or equal to 36? How many are less than or equal to 144? In general, how many perfect squares are less than or equal to n 2 ? Using all these answers, estimate the number of perfect squares less than or equal to N. (Hint: Your estimate may involve square roots and should be the exact answer whenever N is itself a perfect square.)
Perfect squares. A perfect square is a number that can be written as a natural number squared. The first few perfect squares are 1, 4, 9, 16, 25, 36. How many perfect squares are less than or equal to 36? How many are less than or equal to 144? In general, how many perfect squares are less than or equal to n 2 ? Using all these answers, estimate the number of perfect squares less than or equal to N. (Hint: Your estimate may involve square roots and should be the exact answer whenever N is itself a perfect square.)
Perfect squares. A perfect square is a number that can be written as a natural number squared. The first few perfect squares are 1, 4, 9, 16, 25, 36. How many perfect squares are less than or equal to 36? How many are less than or equal to 144? In general, how many perfect squares are less than or equal to n2? Using all these answers, estimate the number of perfect squares less than or equal to N. (Hint: Your estimate may involve square roots and should be the exact answer whenever N is itself a perfect square.)
Differential Equations: An Introduction to Modern Methods and Applications
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