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Phantasy [73]
2 years ago
12

I need the answer pls

Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Answer:

Mean = 25, Median = 21, Mode = 38, Range = 23

Step-by-step explanation:

sort from smallest to greatest

15, 18, 19, 21, 26, 38, 38

mean = \frac{sum}{# of terms} = \frac{175}{7} = 25

median = middle = 21

mode = more than 1 of the same # = 38

Range = largest - smallest = 38-15 = 23

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Alinara [238K]

Answer:

The circulation of the field f(x) over curve C is Zero

Step-by-step explanation:

The function f(x)=(x^{2},4x,z^{2}) and curve C is ellipse of equation

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I= \int \int\limits {{Curl f\cdot \hat{N }} \, dx

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Curl f(x) = \left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\x^{2}&4x&z^{2}\end{array}\right]

Curl f(x) = (0,0,4)

Putting all values in Stokes Theorem,

I= \int \int\limits {Curl f\cdot \hat{N} } \, dx

I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx

I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx

I=0

Thus, The circulation of the field f(x) over curve C is Zero

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