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fishingspree2
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Hello everyone, I have passed my integral calculus class and it's been a little while so I don't really remember everything. Can anyone help me out with this?
Let f(x) = sqrt(x), x E [0,1]
and [tex]P=\left \{ 0,\left ( \frac{1}{n} \right )^{2}, \left ( \frac{2}{n} \right )^{2}...\left ( \frac{k-1}{n} \right )^{2}, \left ( \frac{k}{n} \right )^{2}...\left ( \frac{n-1}{n} \right )^{2}, 1\right \}[/tex] a partition of [0,1]
a) Find [tex]\Delta x_{k}[/tex] and [tex]f\left ( x_{k} \right )[/tex]
I don't understand the question. I remember the general method, we divide the interval in n little parts and we let n go to infinity, the parts get smaller and smaller and we add their area to find the total area over the interval. but i don't understand what's asked. Why are the elements in the partition squared?
thank you
Homework Statement
Let f(x) = sqrt(x), x E [0,1]
and [tex]P=\left \{ 0,\left ( \frac{1}{n} \right )^{2}, \left ( \frac{2}{n} \right )^{2}...\left ( \frac{k-1}{n} \right )^{2}, \left ( \frac{k}{n} \right )^{2}...\left ( \frac{n-1}{n} \right )^{2}, 1\right \}[/tex] a partition of [0,1]
a) Find [tex]\Delta x_{k}[/tex] and [tex]f\left ( x_{k} \right )[/tex]
The Attempt at a Solution
I don't understand the question. I remember the general method, we divide the interval in n little parts and we let n go to infinity, the parts get smaller and smaller and we add their area to find the total area over the interval. but i don't understand what's asked. Why are the elements in the partition squared?
thank you
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