Multiplication Essay Samples and Topic Ideas
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multiplication. Temperatures between 4o and 60o allow rapid growth of bacteria. Thus this is called the "danger zone." Hot and freshly cooked food must be kept at a temperature not less than 60o c. However, the food should be cool enough to be stored in the refrigerator within two hours, and it should not exceed this period. How could Martha have sped up the cooling process of the lasagna? For rapid cooling of food, it should be divided into large amounts and put into shallow containers. Cutting the lasagna into large portions that would fit in shallow trays would speed up the cooling process, even though it was thick and dense. Also, she could have hastily chilled the lasagna in ice or cold water...
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multiplication of real numbers are functions add, mult: R x R ⟶ R, where add (x,y) = x+ y; mult ((x,y) = xy. Is add one-to-one? Is it onto? Solution: Add is not a 1-1 since for instance, add(1,1)= add(0,2), but (1,1) is not equal to (0,2). Furthermore, it is onto ∀ yϵR, the equation y=addx, is the same as x=(y,1) Is mult one-to-one? Is it onto? Solution: It is not a 1-1, because for the set (1,4) for instance, mult(1,4)= mult(2,2) but (1,4)≠(2,2). It is onto because ∀ yϵR, the equation y=multx, is the same as x=(y,1) 16. Define h : A ⟶ A by h(x) = x2 + 2. Determine (with reasons) whether f is one-to-one and whether it is onto in each of the following cases. A = Z Not one-to-one,...