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Harlamova29_29 [7]
3 years ago
8

How many solutions exist for the given equation?

Mathematics
1 answer:
zmey [24]3 years ago
8 0
<h3> Answer </h3>

x = 2

<h3>Step by step</h3>

1/2(x + 12) = 4x - 1

1/2x + 12/2 = 4x - 1

1/2x + 6 = 4x - 1

1/2x - 4x = -1 - 6

1/2x - 8/2x = -7

-7/2x = -7

x = -14/-7

x = 2

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3.14 x 7 = 21.9

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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
PLEASE HELP AGAIN ASAP!
Dovator [93]
15/5 goes to all of them..

15/5 = 3
8 0
3 years ago
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