solve sum ?
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Using sum-to-Product Formulas Solve the equation by first using a Sum-to-Product formula
Consider the following problem: Find two numbers whose sum is 23 and whose product is a maximum.
(a) Make a table of values, like the one below, so that the sum of the numbers in the first two columns is always 23. On the basis of the evidence in your table, estimate the answer
to the problem.
(b) Use calculus to solve the problem and compare with your answer to part (a).
A cyclist is cycling downhill. He recorded his instant speed every seconds. His speed for the first seconds is listed above.
Approximately what is the distance he traveled in seconds? Solve this using the left-hand sum.