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A. Many jam recipes measure the amount of fruit and white sugar required in cups, for example. Other recipes use kilograms of fruit and
A. Many jam recipes measure the amount of fruit and white sugar required in cups, for example. Other recipes use kilograms of fruit and white sugar, for example. Give an algorithm that will determine which recipe uses more white sugar. (Note: Pay attention to what type of sugar your recipe uses!) B. Suppose you have a calculator with no square root button, but you really need to calculate x. What do you do? You guess! (Carefully, of course.) For example, suppose you need to calculate 27. You would first guess that 1 is your answer. Definitely not close enough because 1 is not close to 27. A second better guess is (1 +27/1)/2, which is 14. Still not close enough because 14 is not close to 27. A third better guess is (14+27/14)/2 = 7.9642..., which is still not close enough, but is closer! Keep going until your guess is accurate enough. If a particular guess, n, is not close enough to being an accurate square root of a number x, we can produce a new and better guess by calculating (n +x/n) / 2. For your algorithm, "accurate enough" means accurate to three decimal places.
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