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Concept explainers
In each of the next set of problems, assume that the data can be modeled bya straight line and that the trend continues indefinitely. Use two data points tofind such a line and then estimate the requested quantities. (See Example1.)
Baseball Suppose a baseball is thrown at 85 miles per hour. Theball will travel 320 feet when hit by a bat swung at 50 miles per hourand will travel 440 feet when hit by a bat swung at 80 miles per hour. Let y be the number of feet traveled by the ball when hit by a bat swungat x miles per hour. (Note: The preceding data are valid for[&50|leq|x|leq|90&], where the bat is 35 inches long, weighs 32 ounces, andstrikes a waist-high pitch so that the place of the swing lies at [&10|deg|&] from the diagonal). [Data from: Robert K. Adair, The Physics of Baseball(HarperCollins, 1990)]. How much farther will a ball travel for each mile-per-hour increase in the speed of the bat?
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Chapter 2 Solutions
MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
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- 2. The sales of a new personal computer (in thousands) are given by S(t)=100-90€-04: Where t represents time in years. Find and interpret the rate of change of sales at each time. a) After 1 year b) After 5 years c) What is happening to the rate of change of sales as time goes on? d) Does the rate of change of sales ever equal zero?arrow_forward2. Find the equation of the line tangent to the graph of f(x)=ln(x²+5) at the point (-1, In 6). Do not approximate numbers.arrow_forwardonly need help with question 3arrow_forward
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