Question

1.Find a possible formula for the trigonometric function whose values are in the following table.

x |
0 | 2 | 4 | 6 | 8 | 10 | 12 |
---|---|---|---|---|---|---|---|

y |
-2 | -5 | -2 | 1 | -2 | -5 | -2 |

y=

2. A population of rabbits oscillates 21 above and below an
average of 103 during the year, hitting the lowest value in January
(t = 0). Find an equation for the population, *P*, in terms
of the months since January, *t*.

P(t) =

What if the lowest value of the rabbit population occurred in April instead?

P(t) =

3. A Ferris wheel is 20 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride is spent higher than 20 meters above the ground?

4. Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 52 and 88 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after midnight, to two decimal places, does the temperature first reach 65 degrees?

Answer #1

Doubt or problem in this then comment below.. i will help you..

by rules and regulation we allow to do only one problem at a time . here i solve 2 problems .

.

**please thumbs up for this
solution..thanks..**

**.**

**1..**

**timeperiod = 2pi/(8-0) = 2pi/8**

**oscillate about level = (-5+1)/2 = -2**

**amplitude = 3**

**so ,**

**y = - 2 - 3 sin(2 pi x/8) **

**.**

**.**

**4...**

average temper = 70

ampltiude = 18

period = 2pi/24

so , y = 70 + 18 sin(2pi(x-8)/24)

y = 65

gives us x = 6.925

answer = 6.93

1. A population of rabbits oscillates 21 above and below an
average of 103 during the year, hitting the lowest value in January
(t = 0). Find an equation for the population, P, in terms of the
months since January, t.
P(t) =
What if the lowest value of the rabbit population occurred in
April instead?
P(t)=
2. A Ferris wheel is 45 meters in diameter and boarded from a
platform that is 4 meters above the ground. The six...

A ferris wheel is 25 meters in diameter and boarded from a
platform that is 1 meters above the ground. The six o'clock
position on the ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 4 minutes. The function h
= f(t) gives your height in meters above the ground t minutes after
the wheel begins to turn. Write an equation for h = f(t).

How do I solve this?
A ferris wheel is 35 meters in diameter and boarded from a
platform that is 2 meters above the ground. The six o'clock
position on the ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 4 minutes. The function h
= f(t) gives your height in meters above the ground t minutes after
the wheel begins to turn. Write an equation for h = f(t).

A ferris wheel is 40 meters in diameter and boarded from a
platform that is 5 meters above the ground. The six o'clock
position on the ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes. The function h
= f(t) gives your height in meters above the ground t minutes after
the wheel begins to turn. Write an equation for h = f(t)

A Ferris wheel is 40 meters in diameter and boarded from a
platform that is 4 meters above the ground. The six o'clock
position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 4 minutes. How many
minutes of the ride are spent higher than 42 meters above the
ground?
minutes

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1. The measure of location which is the most likely to
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