Q: True or false: If 3 ≤ f (x) ≤
True or false: If 3 ≤ f (x) ≤ 4 whenever 0 ≤ x ≤ 5, then 3 ≤ 1/5 0∫5 f (x) dx ≤ 4.
See AnswerQ: Suppose that water is flowing into a tank at a rate of
Suppose that water is flowing into a tank at a rate of r (t) gallons per hour, where the rate depends on the time t according to the formula r (t) = 20 - 4t, 0 ≤ t ≤ 5. (a) Consider a brief period of...
See AnswerQ: The annual world rate of water use t years after 1960,
The annual world rate of water use t years after 1960, for t ≤ 35, was approximately 860 e0.04t cubic kilometers per year. How much water was used between 1960 and 1995?
See AnswerQ: If money is deposited steadily in a savings account at the rate
If money is deposited steadily in a savings account at the rate of $4500 per year, determine the balance at the end of 1 year if the account pays 9% interest compounded continuously.
See AnswerQ: Find a function f (x) whose graph goes through the
Find a function f (x) whose graph goes through the point (1, 1) and whose slope at any point (x, f (x)) is 3x2 - 2x + 1.
See AnswerQ: For what value of a is the shaded area in Fig.
For what value of a is the shaded area in Fig. 4 equal to 1? Figure 4:
See AnswerQ: Show that for any positive number b we have 0∫
Show that for any positive number b we have 0∫b2 √x dx + 0∫b x2 dx = b3
See AnswerQ: Generalize the result of Exercise 71 as follows: Let n be
Generalize the result of Exercise 71 as follows: Let n be a positive integer. Show that for any positive number b we have 0∫bn n√x dx + 0∫b xn dx = bn+1
See AnswerQ: Find the value of k that makes the antidifferentiation formula true.
Find the value of k that makes the antidifferentiation formula true. ∫ (2x - 1)3 dx = k(2x - 1)4 + C
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