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IF LFCX If f(x) dx = 12 and 7 Io Flx 6 6 nd forex f(x) dx = 3.8, find f(x) dx.

IF LFCX If f(x) dx = 12 and 7 Io Flx 6 6 nd forex f(x) dx = 3.8, find f(x) dx.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If \(\int_{1}^{7} f(x) \, dx = 12\) and \(\int_{6}^{7} f(x) \, dx = 3.8\), find \(\int_{1}^{6} f(x) \, dx\).
Transcribed Image Text:If \(\int_{1}^{7} f(x) \, dx = 12\) and \(\int_{6}^{7} f(x) \, dx = 3.8\), find \(\int_{1}^{6} f(x) \, dx\).
The rate of development of many plant species depends on the temperature of the environment in such a way that maturity is reached only after a certain number of "degree days." Suppose that temperature as a function of time is given by \[ T(t) = 17 \left(6 + \sin \frac{2\pi t}{60} \right) \quad 0 \leq t \leq 60 \] where \( t \) is measured in days. If maturity is reached on day \( t = 20 \), what is the number of degree days required? (Hint: What are the units for \(\int_{0}^{20} T(t) \, dt\)? Round your answer to the nearest whole number.) [Input box for answer] degree days
Transcribed Image Text:The rate of development of many plant species depends on the temperature of the environment in such a way that maturity is reached only after a certain number of "degree days." Suppose that temperature as a function of time is given by \[ T(t) = 17 \left(6 + \sin \frac{2\pi t}{60} \right) \quad 0 \leq t \leq 60 \] where \( t \) is measured in days. If maturity is reached on day \( t = 20 \), what is the number of degree days required? (Hint: What are the units for \(\int_{0}^{20} T(t) \, dt\)? Round your answer to the nearest whole number.) [Input box for answer] degree days
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