Learning. A college language class was chosen for a learning experiment. Using a list of 50 words, the experiment measured the rate of vocabulary memorization at different times during a continuous 5-hour study session. The average rate of learning for the entire class was inversely proportional to the time spent studying and was given approximately by V ′ ( t ) = 15 t 1 ≤ t ≤ 5 Find the area between the graph of V ′ and the t axis over the interval [2,4], and interpret the results.
Learning. A college language class was chosen for a learning experiment. Using a list of 50 words, the experiment measured the rate of vocabulary memorization at different times during a continuous 5-hour study session. The average rate of learning for the entire class was inversely proportional to the time spent studying and was given approximately by V ′ ( t ) = 15 t 1 ≤ t ≤ 5 Find the area between the graph of V ′ and the t axis over the interval [2,4], and interpret the results.
Solution Summary: The author calculates the area of the shaded region bounded by the graph of Vprime and the t axis over the interval.
Learning. A college language class was chosen for a learning experiment. Using a list of 50 words, the experiment measured the rate of vocabulary memorization at different times during a continuous 5-hour study session. The average rate of learning for the entire class was inversely proportional to the time spent studying and was given approximately by
V
′
(
t
)
=
15
t
1
≤
t
≤
5
Find the area between the graph of V′ and the t axis over the interval [2,4], and interpret the results.
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