using the graph, on what days is snow on the ground increasing? Decreasing? How do you know from the graph? (Express in interval notation) b) set up and evaluate a definite integral that represents the shaded region in the graph. What does the definite integral represent in the context of the problem?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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a) using the graph, on what days is snow on the ground increasing? Decreasing? How do you know from the graph? (Express in interval notation) b) set up and evaluate a definite integral that represents the shaded region in the graph. What does the definite integral represent in the context of the problem?
It started out as a snowy week - it snowed for an entire day! Then it warmed up for a day, snowed for two days straight, and has been dry since. An equation that models the snowfall rate (in inches/day) for the first 5 days is given by the
equation
( cos(2t) 0<ts
S(t) =
57
Note:
3.92. A graph of the snowfall rate is shown below:
4.
S(1)
Transcribed Image Text:It started out as a snowy week - it snowed for an entire day! Then it warmed up for a day, snowed for two days straight, and has been dry since. An equation that models the snowfall rate (in inches/day) for the first 5 days is given by the equation ( cos(2t) 0<ts S(t) = 57 Note: 3.92. A graph of the snowfall rate is shown below: 4. S(1)
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