Could someone explain how to graph the following problem? I don't quite understand what "Graph H for 0 ≤ t ≤ 3 and 300 ≤ H ≤ 340" is asking me to do...

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) = 0.013t^2 + 0.81t + 316 +3.5 sin(2pi)(t), 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

To graph the problem, you need to plot the values of H, which represents the atmospheric carbon dioxide concentration, against the values of t, which represents the years since 1960. The given equation H(t) = 0.013t^2 + 0.81t + 316 +3.5 sin(2πt) gives you the relationship between t and H.

To start, define a set of values for t in the range 0 ≤ t ≤ 3. You can choose any values within that interval, such as t = 0, 0.5, 1, 1.5, 2, 2.5, 3. Plug each value of t into the equation H(t) = 0.013t^2 + 0.81t + 316 +3.5 sin(2πt) and calculate the corresponding value of H using a calculator.

Next, plot the pairs of (t, H) on a graph. Place t on the x-axis and H on the y-axis. Make sure the y-axis is labeled from 300 to 340 since the given range for H is 300 ≤ H ≤ 340. Use a scale that allows you to clearly plot the values between these ranges.

For each value of t, mark the corresponding value of H on the y-axis. Repeat this process for all the values of t that you calculated earlier. Connect the plotted points with a smooth curve to visualize the relationship between t and H.

By following these steps, you should be able to graph the problem and see how the atmospheric carbon dioxide concentration varies with time between the given years.