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.
12. [0/1 Points] DETAILS
MY NOTES
SESSCALCET2 5.5.022.
Evaluate the indefinite integral. (Use C for the constant of integration.)
sin(In 33x)
dx
2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 5.5.003.MI.
Evaluate the integral by making the given substitution. (Use C for the constant of integration.)
x³ + 3 dx, u = x² + 3
Need Help? Read It
Watch It
Master It
SUBMIT ANSWER
3. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 5.5.006.MI.
Evaluate the integral by making the given substitution. (Use C for the constant of integration.)
|
+8
sec² (1/x³) dx,
u = 1/x7
Need Help?
Read It
Master It
SUBMIT ANSWER
4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 5.5.007.MI.
Evaluate the indefinite integral. (Use C for the constant of integration.)
√x27 sin(x28) dx
53,85÷1,5=
Chapter 1 Solutions
Calculus: Single Variable, Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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