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Mathematics

1 answer:

dexar [7]3 years ago

4 0

Answer:

No, it only will cover 9.1 acres

Step-by-step explanation:

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What is the volume of a rectangular prism

dangina [55]

Answer:

Step-by-step explanation:

I counted all the squares

7 0

4 years ago

The expression (1/50)(sqrt(1/50)+sqrt(2/50)+sqrt(3/50)+...+sqrt(50/50) is a Riemann Sum approximation for

alexira [117]

$\dfrac1{50}\left(\sqrt{\dfrac1{50}}+\sqrt{\dfrac2{50}}+\cdots+\sqrt{\dfrac{50}{50}}\right)=\displaystyle\sum_{n=1}^{50}\sqrt{\dfrac n{50}}\frac1{50}$

describes a sum of the areas of 50 rectangles, each of width $\dfrac1{50}$ , and the $n$ th rectangle has height $\sqrt{\dfrac n{50}}$ .

$\sqrt{\dfrac n{50}}$ ranges from a small positive number to 1, which means the integration interval must be $[0,1]$ . The sum is then the right-endpoint Riemann sum of $\sqrt x$ over the interval with $50$ equally spaced subintervals, so

$\displaystyle\sum_{n=1}^{50}\sqrt{\dfrac n{50}}\frac1{50}\approx\int_0^1\sqrt x\,\mathrm dx$

The sum itself evaluates to roughly 0.676, while the exact value of the integral is $\dfrac23\approx0.667$ .