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torisob [31]
4 years ago
13

Simplified form of 7m2 + 6.5n - rn+2.5m2 - n

Mathematics
1 answer:
Leya [2.2K]4 years ago
7 0
I hope this helps you



m^2 (7+2.5)+n (6.5-r-1)

9.5m^2 +n (5.5-r)
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Approximate the sum of the convergent infinite series the least usingnumber of terms so that the error is less than .0001. What
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Solution :

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$           $a_n= \frac{(-1)^n}{n ! 2^n} \ \ \ \ \ a_{n+1}= \frac{(-1)^{n+1}}{(n+1) ! 2^{n+1}}$

Error = $|a_{n+1}|$

Error ≤ 0.0001

$|\frac{(-1)^{n+1}}{(n+1)!2^{n+1}}| \leq 0.0001$

$|\frac{1}{(n+1)!2^{n+1}}| \leq 10^{-4}$

$(n+1)! 2^{n+1} \geq 10000$

Now try, n ≥ 5

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$   = $\sum_{n=1 }^{5 } \frac{(-1)^n}{n ! 2^n}$         (with error 0.0001)

 

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$   = $\frac{-1}{1!2}+\frac{1}{2!2^2}-\frac{1}{3! 2^3}+\frac{1}{4! 2^4}-\frac{1}{5! 2^5}$

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$ = 0.6065104

3 0
3 years ago
The length and breadth of a rectangular park 25m and 12m. find the distance covered by a boy who takes 4 rounds of the garderean
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2 years ago
Could someone please help me with this question?
Vikki [24]
The answer is 1/5...........
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Answer:

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Subtract x from both sides:   2x - 15 ≤ -8

Add 15 to both sides:                    2x ≤ 7

Divide both sides by 2:                   x ≤ 7/2

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2 years ago
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I need help with numbers 4 and 5.
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PD = P-D
-11 - -1 = -11 + 1 = -10 = 10

SK = S-K
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7 0
4 years ago
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