A hot air balloon is rising at 10 feet/second. Determine the rate at which 0 is changing at t 20 seconds. do Note, you are trying to find = 0' (t). dt h(t) 200' (a) Determine 0 O(t) when t 20. 0 = %3D (radians). (b) Write an equation in t relating the values on the triangle. Equation in t Implicitly differentiate the equation with respect to do at the prescribed moment. dt t and determine de (c) The angle 0 is increasing at a rate of dt radians/second.
A hot air balloon is rising at 10 feet/second. Determine the rate at which 0 is changing at t 20 seconds. do Note, you are trying to find = 0' (t). dt h(t) 200' (a) Determine 0 O(t) when t 20. 0 = %3D (radians). (b) Write an equation in t relating the values on the triangle. Equation in t Implicitly differentiate the equation with respect to do at the prescribed moment. dt t and determine de (c) The angle 0 is increasing at a rate of dt radians/second.
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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Transcribed Image Text:A hot air balloon is rising at 10 feet/second.
Determine the rate at which 0 is changing at t
seconds.
do
Note, you are trying to find
dt
*(?),0 =
h(t)
200'
(a) Determine 0
O(t) when t
20. 0 =
%3D
(radians).
(b) Write an equation in t relating the values on the
triangle.
Equation in t
Implicitly differentiate the equation with respect to
do
at the prescribed moment.
dt
t and determine
de
(c) The angle 0 is increasing at a rate of
dt
radians/second.
20
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