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1311S54.pdf - Math 1311 Section 5.4 Combining and...

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Page1of5Math 1311Section 5.4Combining and Decomposing FunctionsIn this section we look more carefully at how functions are combined to make new ones and atthe meaning of the individual pieces.The simplest way of combining functions are sums, products, differences, and quotients.Example 1:To join a book club you pay an initial fee and then a fixed price each month for abook. The total cost in dollars of joining the club and buyingš‘›books is given by? = 70 + 25š‘›a.What is the initial fee?b.What is the cost of each book after you are a club member?Example 2:If a skydiver jumps from an airplane, his velocity , in feet per second, starts at 0 andincreases toward terminal velocity. An average-sized man has a terminal velocityš‘‡of about 176feet per second. The difference? = š‘‡ āˆ’ š‘£is an exponential function of time.a.What is the initial value of?b.Two seconds into the fall, the velocity is 54.75 feet per second. Find an exponentialformula for?.?.

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Derivative, Exponentiation

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