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IrinaVladis [17]
3 years ago
14

I need help with these few questions please i will make you BRAINLIEST

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

4a)74.692

4b)530.809

4c)1,207.034

5) i think both, they are just saying them in standard form and expanded form(Amy)

Step-by-step explanation:

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Draw the number line like in the picture.

Step-by-step explanation:

√5 is about 2.236, meaning it's kind of close to 2.25.

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Equations:

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Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

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\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\  (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\

=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3}  \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\

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Step-by-step explanation:

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