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3 years ago

A tire shop had to fill 3 1/2 tires with air. It took a small air

Mathematics

2 answers:

Reika [66]3 years ago

7 0

Answer: 3 seconds

Step-by-step explanation: the pump fills 1 tire per second

frozen [14]3 years ago

7 0

3 1/2 = 7/2
3 3/5 = 18/5

(7/2)/3 = (18/5)/t

3(18/5) = (7/2)t
54/5 = (7/2)t
108/35 = t
t = 3 3/35

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Alinara [238K]

Answer:

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

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Where, Curl f(x) = $\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]$

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Surface is given by g(x) = $16x^{2} + 4y^{2} - 3$

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$\hat{N} = (32x,8y,0)$

Now, $f(x)=(x^{2},4x,z^{2})$

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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,

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

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

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