A parachutist jumps out of a plane. Her height, in metres, above the ground after t seconds is given by s(t) = 1750-4.9t, 0
A parachutist jumps out of a plane. Her height, in metres, above the ground after t seconds is given by s(t) = 1750-4.9t, 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![number of sales on her last sales day (August 31). Does this seem reasonable?
2. A parachutist jumps out of a plane. Her height, in metres, above the ground after t
seconds is given by s(t) = 1750- 4.9t, 0<t<19.
a) From what height did the parachutist jump?
b) Determine an algebraic expression in terms of a and h to estimate the average
rate of change, over the time interval a <t<a+h
c) Determine the average rate of change of the parachutist's height above the
ground over the interval [2, 5] using your equation from part b). What does the
value represent?
d) Use the equation you obtained from part b) to estimate the instantaneous rate
of change of her height at each time. Evaluate with h 0.01
i)
ii)
t 8 s
t= 11 s
e) What do the values from part d) represent? Explain.
x+3
x+4
3. Consider the following functions. f (x) = and g(x)% =
%3D
Y-2
DELL
F6
F7
F8
F9
F10
F11
F12
PrtScr
&
7
8
P
*00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F177b7d19-f6a8-4c80-b32f-1a8e3625d975%2F734483b2-b5bb-4508-9dac-b6e39ab8f1b5%2Fife2k1f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:number of sales on her last sales day (August 31). Does this seem reasonable?
2. A parachutist jumps out of a plane. Her height, in metres, above the ground after t
seconds is given by s(t) = 1750- 4.9t, 0<t<19.
a) From what height did the parachutist jump?
b) Determine an algebraic expression in terms of a and h to estimate the average
rate of change, over the time interval a <t<a+h
c) Determine the average rate of change of the parachutist's height above the
ground over the interval [2, 5] using your equation from part b). What does the
value represent?
d) Use the equation you obtained from part b) to estimate the instantaneous rate
of change of her height at each time. Evaluate with h 0.01
i)
ii)
t 8 s
t= 11 s
e) What do the values from part d) represent? Explain.
x+3
x+4
3. Consider the following functions. f (x) = and g(x)% =
%3D
Y-2
DELL
F6
F7
F8
F9
F10
F11
F12
PrtScr
&
7
8
P
*00
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