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Fed [463]
2 years ago
15

Compute: 3^(log3 16) - 5^(log5 11)

Mathematics
1 answer:
Nataliya [291]2 years ago
3 0

Answer:

I feel bad for you

Step-by-step explanation:

sorry.....

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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
2 years ago
you own a house cleaning business. it takes you 2 hours and 45 minutes to clean a house. you have 3 houses to clean tomorrow. ho
lidiya [134]
495 minutes. Well you will have to work put how many hours that makesim sorry
6 0
3 years ago
3 times 5 with a two on the top
jenyasd209 [6]
Ok so it could be
1. \frac{2}{3 times 5}
2. 3 timies \frac{2}{5}


ok if 1. then
\frac{2}{3 times 5}=\frac{2}{15}

if 2.  3 timies \frac{2}{5}= \frac{6}{5}



3 0
3 years ago
Please help 50 points <br><br> What is the fractional form of
Mumz [18]

Answer:

it's option A .............

8 0
3 years ago
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Paula wants to save at least $800 for a trip. Which inequality shows the least amount she must save each month for 9 months to a
ElenaW [278]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
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