Rising radiosonde The National Weather Service releases approximately 70,000 radiosondes every year to collect data from the atmosphere. Attached to a balloon, a radiosonde rises at about 1000 ft/mm until the balloon bursts in the upper atmosphere Suppose a radiosonde is released from a point 6 ft above the ground and that 5 seconds later, it is 83 ft above the ground Let f ( t ) represent the height (in feet) that the radiosonde is above the ground t seconds after it is released. Evaluate f ( 5 ) − f ( 0 ) 5 − 0 and interpret the meaning of this quotient.
Rising radiosonde The National Weather Service releases approximately 70,000 radiosondes every year to collect data from the atmosphere. Attached to a balloon, a radiosonde rises at about 1000 ft/mm until the balloon bursts in the upper atmosphere Suppose a radiosonde is released from a point 6 ft above the ground and that 5 seconds later, it is 83 ft above the ground Let f ( t ) represent the height (in feet) that the radiosonde is above the ground t seconds after it is released. Evaluate f ( 5 ) − f ( 0 ) 5 − 0 and interpret the meaning of this quotient.
Solution Summary: The author evaluates the difference quotient f(5)-f
Rising radiosonde The National Weather Service releases approximately 70,000 radiosondes every year to collect data from the atmosphere. Attached to a balloon, a radiosonde rises at about 1000 ft/mm until the balloon bursts in the upper atmosphere Suppose a radiosonde is released from a point 6 ft above the ground and that 5 seconds later, it is 83 ft above the ground Let f(t) represent the height (in feet) that the radiosonde is above the ground t seconds after it is released. Evaluate
f
(
5
)
−
f
(
0
)
5
−
0
and interpret the meaning of this quotient.
2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below.
write it down for better understanding please
1. Suppose F(t) gives the temperature in degrees Fahrenheit t minutes after 1pm. With a
complete sentence, interpret the equation F(10) 68. (Remember this means explaining
the meaning of the equation without using any mathy vocabulary!) Include units. (3 points)
=
Chapter 1 Solutions
Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY