What is the approximate depth integrated particulate DMSP quantity (in micromolar m-2) to 30 m? The DMSP at 30 m is approximately 11 nM.

Your question makes no sense, at least to me. Perhaps you need to provide more information, starting with the acronyms.

The question makes no sense to me either and I have ask the teacher to clarify what it is he is asking. The DMSP stands for dimethylsulfoniopropionate. Marine algae produce this product.

To calculate the approximate depth-integrated particulate DMSP quantity in micromolar per square meter (µM m^-2) to 30 meters, you would need to know the concentration of DMSP at each depth interval from the surface to 30 meters. In this case, the DMSP at 30 meters is given as approximately 11 nM.

Here's how you can calculate the depth-integrated particulate DMSP quantity:

1. Determine the number of depth intervals from the surface to 30 meters. Let's assume there are 'n' equally spaced intervals.

2. Calculate the depth of each interval by dividing 30 meters by 'n', giving you the depth of each interval (d = 30/n).

3. Calculate the depth-integrated particulate DMSP quantity for each interval by multiplying the concentration of DMSP at that depth by the depth of the interval (concentration * depth).

4. Sum up all the depth-integrated quantities calculated in step 3 to get the total depth-integrated particulate DMSP quantity.

Since the concentration at 30 meters is given as 11 nM, you need the concentrations at other depths to perform the calculation. If you have the concentration values at different depths, you can apply the steps above to calculate the approximate depth-integrated particulate DMSP quantity.