Find two positive numbers whose sum is 110 and whose product is a maximum. (a) Analytically complet…

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Find two positive numbers whose sum is 110 and whose product is a maximum. (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) (b) Use a graphing utility to generate additional rows of the table. Use the table to estimate the solution. (Hint: Use the table feature of the graphing utility.) (c) Write the product P as a function of x. (d) Use a graphing utility to graph the function in part (c) and estimate the solution from the graph. (e) Use calculus to find the critical number of the function in part (c). Then find the two numbers.

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graphs and ranges: visualizing domains for better understanding, optimization problems in calculus 1: tips and tricks | ab
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