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3 years ago

Can someone do this for me were doing convert customary lenghts

Mathematics

1 answer:

omeli [17]3 years ago

5 0

I could help if I had a picture of the problem

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For the function given below, find a formula for the riemann sum obtained by dividing the interval [a,b] into n equal subinter

Nata [24]

We split [2, 4] into $n$ subintervals of length $\dfrac{4-2}n=\dfrac2n$ ,

$[2,4]=\left[2,2+\dfrac2n\right]\cup\left[2+\dfrac2n,2+\dfrac4n\right]\cup\left[2+\dfrac4n,2+\dfrac6n\right]\cup\cdots\cup\left[2+\dfrac{2(n-1)}n,4\right]$

so that the right endpoints are given by the sequence

$x_i=2+\dfrac{2i}n=\dfrac{2(n+i)}n$

for $1\le i\le n$ . Then the Riemann sum approximating

$\displaystyle\int_2^42x\,\mathrm dx$

$\displaystyle\sum_{i=1}^nf(x_i)\dfrac{4-2}n=\frac8{n^2}\sum_{i=1}^n(n+i)=\frac8{n^2}\left(n^2+\frac{n(n+1)}2\right)=\frac{12n+4}n$

The integral is given exactly as $n\to\infty$ , for which we get

$\displaystyle\int_2^42x\,\mathrm dx=\lim_{n\to\infty}\frac{12n+4}n=12$

To check: we have

$\displaystyle\int_2^42x\,\mathrm dx=x^2\bigg|_2^4=4^2-2^2=16-4=12$

7 0

3 years ago

Pls help

Tatiana [17]

Answer:

$- 39xy + 12 {y}^{2}$

Step-by-step explanation:

1) Simplify 6x × 2y to to 12xy.

$12xy - 3xy - 24xy \times 2 + 12 {y}^{2}$

2) Simplify 24xy × 2 to 48xy.

$12xy - 3xy - 48xy + 12 {y}^{2}$

3) Collect like terms.

$(12xy - 3xy - 48xy) + 12 {y}^{2}$

4) Simplify.

$- 39xy + 12 {y}^{2}$

Thus, The answer is -39xy + 12y².

5 0

3 years ago

Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed 3 times as many lawns as Kevin mowed. In which equati

olya-2409 [2.1K]

Answer:

Kevin mowed 4 lawns

Step-by-step explanation:

Let the number of lawns Kevin mowed be x.

12 = 3x

x = 4

Topic: Algebraic equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

3 0

3 years ago

Select the solutions to the system of equations below? Not sure if I have this right. Thanks.

GarryVolchara [31]

The two options you picked are indeed correct.

4 0

3 years ago

Read 2 more answers

The expression 4x/5 - 2x/3 is equivalent to a.) x/2 b.) x/5 c.) x/15 d.) 2x/15

Lena [83]

Answer:

Step-by-step explanation: