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fomenos
2 years ago
15

HERE IS THE PHOTO I WILL GIVE BRAINLIEST

Mathematics
2 answers:
vlada-n [284]2 years ago
8 0

Answer:

It is not similar]

Step-by-step explanation:

taurus [48]2 years ago
8 0

Answer:

Not similar.

Step-by-step explanation:

they are not similar because one is bigger than the other and their angle's are different

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Consider the following theorem. Theorem If f is integrable on [a, b], then b a f(x) dx = lim n→[infinity] n i = 1 f(xi)Δx where
mel-nik [20]

Split up the interval [1, 9] into <em>n</em> subintervals of equal length (9 - 1)/<em>n</em> = 8/<em>n</em> :

[1, 1 + 8/<em>n</em>], [1 + 8/<em>n</em>, 1 + 16/<em>n</em>], [1 + 16/<em>n</em>, 1 + 24/<em>n</em>], …, [1 + 8 (<em>n</em> - 1)/<em>n</em>, 9]

It should be clear that the left endpoint of each subinterval make up an arithmetic sequence, so that the <em>i</em>-th subinterval has left endpoint

1 + 8/<em>n</em> (<em>i</em> - 1)

Then we approximate the definite integral by the sum of the areas of <em>n</em> rectangles with length 8/<em>n</em> and height f(x_i) :

\displaystyle \int_1^9 (x^2-4x+6) \,\mathrm dx \approx \sum_{i=1}^n \frac8n\left(\left(1+\frac8n(i-1)\right)^2-4\left(1+\frac8n(i-1)\right)+6\right)

Take the limit as <em>n</em> approaches infinity and the approximation becomes exact. So we have

\displaystyle \int_1^9 (x^2-4x+6) \,\mathrm dx = \lim_{n\to\infty} \sum_{i=1}^n \frac8n\left(\left(1+\frac8n(i-1)\right)^2-4\left(1+\frac8n(i-1)\right)+6\right) \\\\ = \lim_{n\to\infty} \frac8n \sum_{i=1}^n \left(1+\frac{16}n(i-1)+\frac{64}{n^2}(i-1)^2-4-\frac{32}n(i-1)+6\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \sum_{i=1}^n \left(64(i-1)^2-16n(i-1)+3n^2\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \sum_{i=0}^{n-1} \left(64i^2-16ni+3n^2\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(64\sum_{i=0}^{n-1}i^2 - 16n\sum_{i=0}^{n-1}i + 3n^2\sum{i=0}^{n-1}1\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(\frac{64(2n-1)n(n-1)}{6} - \frac{16n^2(n-1)}{2} + 3n^3\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(\frac{49n^3}3-24n^2+\frac{32n}3\right) \\\\= \lim_{n\to\infty} \frac{8\left(49n^2-72n+32\right)}{3n^2} = \boxed{\frac{392}3}

3 0
3 years ago
Happy Earth Day. Have a wonderful Day! If you answer you must give me ten Earth day Activities to answer. Thank you!
emmasim [6.3K]

Answer:

Happy Earth Day to u too.

Step-by-step explanation:

1) Plant a sapling

2) Draw a poster related to Earth Day

3) Color a picture of the Earth/ tree

4) Decorate ur room with plants

5) Prepare a speech on Earth Day

6) Do T-shirt designing with Earth as a design

7) Buy a paper/ cloth bag

8) Recycle what u use

9 Avoid plastic

10) Use bikes or walk instead of vehicles

5 0
2 years ago
Read 2 more answers
Help! the picture is the problemmm
Amanda [17]

Answer:

sorry i cant answer that one man.

Step-by-step explanation:

5 0
3 years ago
Omar's credit card has an APR of 26% calculated on the previous monthly balance
Free_Kalibri [48]

Answer:

$257.33 on Apex  it’s correct, I took the quiz


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
David bought a car for 5000$ for how much should he sell it if he wants 10% profit from it
BartSMP [9]

Answer:

Step-by-step explanation:

5,500$ lol

8 0
3 years ago
Read 2 more answers
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