I am given this problem in my calculus textbook, and the answer is B. I, however, would like to know why the answer is B.
My first guess was that it would be E because the interval is from 0 to 20, but when I think of it, I'm pretty sure it's not.
I am given this problem in my calculus textbook, and the answer is B. I, however, would like to know why the answer is B.
My first guess was that it would be E because the interval is from 0 to 20, but when I think of it, I'm pretty sure it's not.
you are thinking of $\displaystyle \frac 1{20} \sum_{x = 1}^{20} \sqrt{\frac x{20}}$
don't mix up the summation with the integral.
now, i have a challenge for you. lets say i asked you to approximate $\displaystyle \int_0^{20} \!\!\! \sqrt x ~dx$ using right hand endpoints and 20 subintervals. what would your answer look like?
We started integrals in class recently, and I'm still trying to get a firmer grasp on the concept... So I'm probably wrong in general.
If I'm doing this correctly, I would approximate it to be about 61.666 with 20 subintervals using RRAM. Is this correct? So then what?
Oh wait, actually, I think I understand it now... I drew out a picture, and I see that the width of each subinterval is 1/20. And since there are 20 subintervals, B is the right answer because the integral is from 0 to 1.
Is this correct? If not, then I really don't know what I'm doing...