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5.4D: More with Integral Functions Today, we will construct integral functions, and find values of integral functions given an initial condition.

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Presentation on theme: "5.4D: More with Integral Functions Today, we will construct integral functions, and find values of integral functions given an initial condition."— Presentation transcript:

1 5.4D: More with Integral Functions Today, we will construct integral functions, and find values of integral functions given an initial condition.

2 HW: p. 303, #57 Let

3

4 Find the numerical value of each integral function with the given condition:

5 500 = initial amount in tons G(s) is amount arriving in tons per hour and 100 is amount processed in tons per hour. G(s)-100 is the rate at which the amount of gravel is changing in tons per hour. The integral is essentially (tons/hour)(hours) = tons of gravel, and therefore gives the net/accumulated amount of unprocessed gravel at the plant at any time t (which gets added to the 500 tons already present)

6 tA(t) The maximum amount of unprocessed gravel during the given workday is tons.

7 Assignment: 5.4D: p. 302: 21,23,59,61,67,68,74


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