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2 years ago

Find the slope and the line between each pair of points

Mathematics

1 answer:

dalvyx [7]2 years ago

4 0

Girl what are you talking about

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Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t

sladkih [1.3K]

Answer:

$A_L=1.75$

Step-by-step explanation:

We are given:

$f(x)=x^2$

$interval = [a,b] = [0,2]$

Since $n = 4$ ⇒ $\Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}$

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

$A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75$

Note:

If it will be asked to find right endpoint too,

$A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75$

The average of left and right endpoint Riemann sums will give approximate result of the area under $f(x)=x^2$ and it can be compared with the result of integral of the same function in the interval given.

So, $(A_R+A_L)/2 = (1.75+3.75)/2=2.25$

$\int^2_0x^2dx=x^3/3|^2_0=8/3=2.67$

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

3 0

3 years ago

What is 10 times 45 ?

forsale [732]

Ten times 45 is equal to 450

5 0

3 years ago

Read 2 more answers

Answer These Division Questions Please.(The / Are The Division Sign)

Slav-nsk [51]

It's completely correct to use the ' / ' sign for division.
Every fraction means division. It means

(the top number) divided by (the bottom number) .

These are easy to do on a calculator, and by now you should
also know how to do them with a pencil.

1). 5,320 / 61 = 87.213... (plus more decimal places)

2). 776 / 28 = 27.714... (plus more decimal places)

3). 1,624 / 23 = 70.608... (plus more decimal places)

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3 years ago

Find the difference: 7 7/8- 3 1/4 =

enyata [817]

7 and 7/8=63/8 and 3 and 1/4=13/4. 63/8 and 13/4 as common denominators are 63/8 and 26/8. 63/8-26/8=37/8. 37/8 as a mixed number is 4 5/8.

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3 years ago

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24 POINTS!!!! help please. No work needed....

Mrrafil [7]

I’m more than happy to help you

8 0

4 years ago