12. Find the time required for an object to cool from 300°F to 250°F by evaluating 300 10 1 t= dT In 2 T– 100 250 where t is time in minutes.

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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Question 12 please!
11. Show that
csc u du =- In|csc u + cot u| +c
12. Find the time required for an object to cool from 300 °F to 250°F by evaluating
300
10
t=
In 2
250
dT
Т— 100
where t is time in minutes.
13. Prove that the function
2х
1
dt
t
F(x) =
х
is a constant on the interval (0, ∞)
Transcribed Image Text:11. Show that csc u du =- In|csc u + cot u| +c 12. Find the time required for an object to cool from 300 °F to 250°F by evaluating 300 10 t= In 2 250 dT Т— 100 where t is time in minutes. 13. Prove that the function 2х 1 dt t F(x) = х is a constant on the interval (0, ∞)
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