A. Many jam recipes measure the amount of fruit and white sugar required in cups, for example. Other recipes…

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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 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 1² is not close to 27. A second better guess

is (1 +27/1)/2, which is 14. Still not close enough because 14² 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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A To determine which recipe uses more white sugar you need to convert the measurements to a common u

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