Would you type those up using LaTex? There is a subsection with a tutorial. I will help more if you can do that since I don't want to type them up and make sure that we are on the same page. I will tell you that for number nine find y'' and set it to zero and solve to find the inflection points.
Edit:I typed this up yesterday and it should help you find 10's answer just change the interval, , the summation, and where it says left use right
a) Sketch the region R.
Simply sketch f(x) on the given interval
b) Partition [0,2] into 4 subintervals and show the four rectangles that LRAM uses to approximate the area of R. Compute the LRAM sum without a calculator.
First you need to find the width of the 'subintervals'. We will call the width . To find on the interval we use the following equation where is the number of subintervals.
You are doing an LRAM so you use the left point when making your rectangles. To find the height just insert the into where you need to find the height.
The area under curve (what you are finding) is - . To simplify this we can do a summation -
Let me know if that makes any sense.