A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min . Suppose that a couple is seated at the lowest point on the wheel and are the last passengersr to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and describe the position.
A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min . Suppose that a couple is seated at the lowest point on the wheel and are the last passengersr to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and describe the position.
Solution Summary: The author calculates the couple's horizontal position x relative to the centre of the Ferris wheel.
A Ferris wheel is
200
ft
in diameter with its lowest point
3
ft
off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in
3
min
. Suppose that a couple is seated at the lowest point on the wheel and are the last passengersr to be loaded.
a. Write a model representing the couple's horizontal position
x
(in feet) relative to the center of the Ferris wheel,
t
minutes after the ride starts.
b. Write a model representing the couple's height
y
(in feet) above ground level,
t
minutes after the ride starts.
c. Give the coordinates of the couple's position
2
min
into the ride and describe the position.
For each given function f(x) find f'(x) using the rules learned in section 9.5.
1. f(x)=x32
32x
2. f(x)=7x+13
3. f(x) =
x4
4. f(x) = √√x³
5. f(x) = 3x²+
3
x2
Find:
lim x →-6 f (x)
limx-4 f (x)
lim x-1 f (x)
lim x →4 f (x)
(-6,3) •
(-1,5)
-8
-7
(-6,-2)
4+
(4,5)
(4,2) •
(-1,1)
-6
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