The rate of memorizing information initially increases. Eventually, however, a maximum rate is reached, after which it begins to decreases. Suppose an experiment finds that rate the rate of memorizing is given by M ′ ( t ) = − 0.009 t 2 + 0.2 t , Where M ′ ( t ) is the memory rate, in words per minute. How many words are memorized in the first 10 min ( from t = 0 to t = 10 ) ?
The rate of memorizing information initially increases. Eventually, however, a maximum rate is reached, after which it begins to decreases. Suppose an experiment finds that rate the rate of memorizing is given by M ′ ( t ) = − 0.009 t 2 + 0.2 t , Where M ′ ( t ) is the memory rate, in words per minute. How many words are memorized in the first 10 min ( from t = 0 to t = 10 ) ?
Solution Summary: The author calculates the number of words memorized in the first 10min from the given memorizing rate.
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
Chapter 4 Solutions
Pearson eText Calculus and Its Applications, Brief Edition -- Instant Access (Pearson+)
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