3/4(8p+12)+3/8(8-16p)

Can someone please help me get the answer

lara [203]

Answer:

the answer is 6 since from 1 side to the other it makes 12 you just divide 12 by 2 since O is in the middle and only goes to half of the line

3 0

3 years ago

Use the surface integral in Stokes' Theorem to calculate the circulation of the field Bold Upper F equals x squared Bold i plus

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

$16x^{2} + 4y^{2} = 3$

Theory: Stokes Theorem is given by:

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

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

Also, f(x) = (F1,F2,F3)

$\hat{N} = grad(g(x))$

Using Stokes Theorem,

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

Therefore, tex]\hat{N} = grad(g(x))[/tex]

$\hat{N} = grad(16x^{2} + 4y^{2} - 3)$

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

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

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

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=0

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

3 0

3 years ago

Tia cut 4 meter 8 centimeter wire into 10 equal pieces. Marta cut 540 centimeter wire into 9 equal pieces . How much longer is o

saveliy_v [14]

Answer:

19.2 centimeters

Step-by-step explanation:

Tia cut a 4 meter and 8 centimeter wire, converting this measure to centimeters

$4m + 8 cm = 400cm + 8cm =408 cm$

and she cut it into 10 equal pieces, thus each piece measures:

$\frac{408cm}{10}=40.8cm$ .

Martha has a wire of 540 centimeter wich she cutted into 9 equal pieces, so each piece measures:

$\frac{540cm}{9} =60cm$

The difference between the two wires is:

$60cm - 40.8cm=19.2cm$

7 0

3 years ago

Rewrite in logarithmic form 19^2 = 361

Aneli [31]

Answer:

$\log_{19}{361}=2$

Step-by-step explanation:

We know that taking logarithms performs the transformation ...

$b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\dfrac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}$

Then for b=19, e=2, x=361, we have

$\boxed{\log_{19}{361}=2}$

8 0

3 years ago

Rich is attending a four-year College as a freshman he was approved for a 10-year Federal unsubsidized student loan in the amoun

Scorpion4ik [409]

Answer:

is Rich rich?

Step-by-step explanation:

If so invite me to their house

5 0

3 years ago