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Flura [38]
2 years ago
14

Evaluate 3/7r + 5/8s when r = 14 and s = 8

Mathematics
1 answer:
gogolik [260]2 years ago
7 0

Answer:

<em>Hope </em><em>this </em><em>helps </em><em>you </em><em>mate </em><em>~♥~</em><em>ฅ(๑*▽*๑)ฅ!!</em><em>ฅ(๑*▽*๑)ฅ!!</em><em>O(≧▽≦)O</em><em>O(≧▽≦)O</em><em>O(≧▽≦)O</em><em>(≧∇≦)</em><em>(≧∇≦)</em><em>(≧∇≦)</em><em>O(≧▽≦)O</em><em>O(≧▽≦)O</em><em>(○゚ε゚○)</em>

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Which lines have a y-intercept at (0,4)?
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Answer:

y=-3x+4

Step-by-step explanation:

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8 0
3 years ago
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Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Darina [25.2K]

Answer:

Given definite  integral as a limit of Riemann sums is:

\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

Step-by-step explanation:

Given definite integral is:

\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}

Substituting (2) in above

f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

Riemann sum is:

= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

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3 years ago
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3:15:2 is the simplest form

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