Download Calculus Concepts - An Applied Approach to the Mathematics by Donald R. LaTorre PDF

By Donald R. LaTorre

Designed for the two-semester utilized Calculus path, this graphing calculator-dependent textual content makes use of an cutting edge strategy that comes with real-life functions and know-how reminiscent of graphing utilities and Excel spreadsheets to aid scholars research mathematical abilities that they're going to draw on of their lives and careers. The textual content additionally caters to various studying types via offering thoughts in a number of varieties, together with algebraic, graphical, numeric, and verbal.Targeted towards scholars majoring in company economics, liberal arts, administration and the lifestyles & social sciences, Calculus thoughts, 4/e makes use of actual info and occasions to aid scholars increase an intuitive realizing of the thoughts being taught. The fourth variation has been redesigned for readability and to stress convinced suggestions and pursuits.

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Extra resources for Calculus Concepts - An Applied Approach to the Mathematics of Change, 4th Edition

Example text

Gas Prices The following two functions have a common input, year t. R is the average price (in dollars) of a gallon of regular unleaded gasoline, and P is the purchasing power of the dollar as measured by consumer prices based on 2001 dollars. a. Using function notation, indicate how to combine the two functions to create a third function showing the price of gasoline in constant 2001 dollars. b. What are the output units of the new function? 49t ϩ 188 gallons per person per year In both models, t is the number of years since 1900.

12 indicates that the percent of businesses surviving decreased by 3 percentage points per year. We could also say that the rate of change of the survival percentage is Ϫ3 percentage points per year. Caution: Note that this result is not the same as a rate of change of Ϫ3 percent per year. When the output of a function is a percent, units on the rate of change must be expressed in terms of percentage points per input unit. b. The data reveal that the percent begins with 50% and that each year after the first table value, the percent declines by 3 percentage points.

1 b. 5 days. c. Use a graph of the model to estimate when the concentration of the drug will be 60 milligrams. Use the model to find the exact value. 19. Payment You are interested in buying a used car and in financing it for 60 months at 10% interest. As a special promotion, the dealer is offering to finance with no down payment. The accompanying graph shows the value of the car as a function of the amount of the monthly payment. 21 Models and Functions d. If you decrease the time financed from 48 to 36 months, by how much will your payment increase?

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