Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
The Role of the Coefficient in Power Functions with a Negative Power Consider the family of power functions
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Arctic Foxes The age-weight relationship of female Arctic foxes caught in Svalbard, Norway, can be estimated by the function Mt=3102e-e-0.022t-56, where t is the age of the fox in days and Mt is the weight of the fox in grams. Source: Journal of Mammalogy. a. Estimate the weight of a female fox that is 200 days old. b. Use Mt to estimate the largest size that a female fox can attain. Hint: Find limtMt. c. Estimate the age of a female fox when it has reached 80% of its maximum weight. d. Estimate the rate of change in weight of an Arctic fox that is 200 days old. Hint: Recall that Dteft=f'teft. e. Using a graphing calculator to graph Mt and then describe the growth pattern. f. Use the table function on a graphing calculator or a spreadsheet to develop a chart that shows the estimated weight and growth rate of female foxes for days 50,100,150,200,250, and 300.arrow_forwardFor the experimental can described in Example 8, write the surface area as a function of (a) the radius r and (b) the height h.arrow_forward
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