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One-to-one Correspondence : Suppose you are given a certain number of cups and saucers, and are asked to find out whether there are enough saucers for all the cups. How would you do this? By counting the number of cups and saucers, of course ! But what if you do not know how to count? Can you still answer the question? Yes, by matching (or pairing) each cup with a saucer. This means that you set up the cups and saucers in one-to-one correspondence with each other. Thus, pairing 'is simpler than counting, and is basic to it. You may have come across a situation similar to the following one, when interacting with preschoolers who are learning how to count.
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Construction of indirect tangents
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prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.
If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5. What is the value of x? The statement, "If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5,
Marci filled her car's gas tank on Monday, and the odometer read 32,461.3 miles. On Friday while the car's odometer read 32,659.7 miles and she filled the car's tank again. It will
Determine y′ for xy = 1 . Solution : There are in fact two solution methods for this problem. Solution 1: It is the simple way of doing the problem. Just solve for y to
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