Thursday

October 23, 2014

October 23, 2014

Posted by **alice** on Saturday, December 1, 2012 at 6:59pm.

I've graphed it, but I'm not sure how to solve the rest of the questions.

The National Oceanic and Atmospheric Administration (NOAA) has been measuring atmospheric

carbon dioxide concentations (in parts per million) at Mauna Loa, Hawaii since 1958. The data

closely follow the pattern H(t) = 0.013t2 + 0.81t + 316 + 3.5 sin 2πt, where t = 0 represents the

year 1960. (Complete dataset available at ftp://ftp.cmdl.noaa.gov/ccg/co2/trends/c…

1. Explore the CO2 concentration model for the period 1960 – 1962.

a) Graph H for 0 ≤ t ≤ 3 and 300 ≤ H ≤ 340

b) Over the course of a single year, about how much does carbon dioxide concentration vary?

c) How much time is required for one complete cycle of carbon dioxide levels?

d) When during the year do the maximum and minimum occur?

- Math -
**alice**, Saturday, December 1, 2012 at 7:15pmNOTE - the formula should be:

H(t) = 0.013t^2 + 0.81t + 316 + 3.5 sin 2πt

- Math -
**Steve**, Saturday, December 1, 2012 at 7:15pmsince you have t^2 involved, the amount of variation depends on the year, but will always be roughly 2*3.5 = 7

since you have sin(2pi t) the period is 2pi/2pi = 1 year

max in April, min in Sep.

Don't know what graphing tool you use, but if you go to

http://rechneronline.de/function-graphs/

and enter

0.013x^2 + 0.81x + 316 + 3.5 *sin(2*pi*x)

for your function

with 0<=x<=5 and 300<=y<=350, the graph makes this quite clear.

- Math -
**alice**, Saturday, December 1, 2012 at 7:48pmhow did you determine the maximum and the minimum?

**Answer this Question**

**Related Questions**

5th grade math (word problems) - I'm not sure how to solve the following problem...

Math - Could someone explain how to graph the following problem? I don't quite ...

English - 1. He can not solve the math problem. 2. He cannot solve the math ...

Math - Could someone explain how to find which months during the year the ...

math - actually, in a addition to the question i posted a few minutes ago, can ...

College Math II - Solve by any method. a^4 – 5a^2 + 4 = 0 I am having problems ...

Math - Can someone please explain how to solve 3x^2+7x-15=0 by using the ...

Math - I am trying to figure how to solve this but I am totally confused? Can ...

Algebra - Can someone please help me with math problem and explain to me step by...

maths - I don't understand what to do at all, I've several like this if someone ...