Velocity When a car is moving at
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Calculus & Its Applications (14th Edition)
- Food Consumption The average daily food consumption F of a herbivorous mammal with body weight x, where both F and x are measured in pounds, is given approximately by the equation F=0.3x34. Find the weight x of an elephant that consumes 300 lb of food per dayarrow_forwardSales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?arrow_forwardMaximum Profit The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model P=230+20x0.5x2. What expenditure for advertising yields a maximum profit?arrow_forward
- Applications Waste management The corrosive waste is industrial sewage limits the useful life of the piping in a waste processing plant to 12 years. The piping system was originally worth 137,000, and it will cost the company 33, 000 to remove it at the end of its 12-year useful life. Find a depreciation equation.arrow_forwardSuppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year: a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now. b. Seven years from now, what will the oil reserves be? c. If the rate at which the reserves are decreasing is constant, when will the world’s oil reserves be depleted?arrow_forwardHeight of a Ball If a ball is thrown directly upward with a velocity of 40 ft/s, its height (in feet) after t seconds is given by y=40t16t2 . What is the maximum height attained bythe ball?arrow_forward
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