Question

Sum Notation Q

Answer 1

Sorry it didnt copy/post over give me a minute wile I use the equation editor

Answer 2

\[f(x)=\sqrt{x} \] let the area under the graph f(x) over the interval [0,1] be A. Prove that \[.51leA \le.77\] by computing R4, and L4. Explain your reasoning.

Here is what I am getting for R4-
\[f(x)=\sqrt{x}\] \[\Delta x=\frac{ 1-0 }{ 4 } \rightarrow 1/4\]
after putting things together I am left with
\[\sum_{0}^{1} \sqrt{j \frac{ 1 }{ 4 }}\] but it evaluates out to .5 and does not fit into the proof.
Ideas?

Answer 3

hmm and when trying to figure out the left point sum i get 0. . .

Answer 4

Update, I figured out R4 through the power sums rules, but L4 is stumping me due to it calculating out . . .
wait thats my problem there too.