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andre [41]
3 years ago
7

Okay the answer for this

Mathematics
2 answers:
zepelin [54]3 years ago
7 0
Your answer is d, you can not use 6 and the equation be right.
swat323 years ago
5 0
D so yeeeeeeee byeeeee
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Can anyone help me with this problem?
Harman [31]
First one is correct choice
5 0
3 years ago
Is the integral ſ A. dr path independent if A = (2x - y)i + (x + y)j?
evablogger [386]

The integral is path-independent if we can find a scalar function <em>f</em> such that grad(<em>f</em> ) = <em>A</em>. This requires

\dfrac{\partial f}{\partial x}=2x-y

\dfrac{\partial f}{\partial y}=x+y

Take the first PDE and integrate both sides with respect to <em>x</em> to get

f(x,y)=x^2-xy+g(y)

where <em>g</em> is assumed to be a function of <em>y</em> alone. Differentiating this with respect to <em>x</em> gives

\dfrac{\partial f}{\partial y}=-x+\dfrac{\mathrm dg}{\mathrm dy}=x+y\implies\dfrac{\mathrm dg}{\mathrm dy}=2x+y

which would mean <em>g</em> is *not* a function of only <em>y</em>, but also <em>x</em>, contradicting our assumption. So the integral is path-dependent.

Parameterize the unit circle (call it <em>C</em>) by the vector function,

\mathbf r(t)=\cos t\,\mathbf i+\sin t\,\mathbf j

with <em>t</em> between 0 and 2π.

Note that this parameterization takes <em>C</em> to have counter-clockwise orientation; if we compute the line integral of <em>A</em> over <em>C</em>, we can multiply the result by -1 to get the value of the integral in the opposite, clockwise direction.

Then

\mathrm d\mathbf r=-\sin t\,\mathbf i+\cos t\,\mathbf j

and the (counter-clockwise) integral over <em>C</em> is

\displaystyle\int_C\mathbf A\cdot\mathrm d\mathbf r

\displaystyle=\int_0^{2\pi}((2\cos t-\sin t)\,\mathbf i+(\cos t+\sin t)\,\mathbf j)\cdot(-\sin t\,\mathbf i+\cos t\,\mathbf j)\,\mathrm dt

\displaystyle=\int_0^{2\pi}1-\sin t\cos t\,\mathrm dt=2\pi

and so the integral in the direction we want is -2π.

By the way, that the integral doesn't have a value of 0 is more evidence of the fact that the integral is path-dependent.

5 0
3 years ago
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever
ale4655 [162]
<h3>Answer:    410 mL </h3>

=====================================================

Explanation:

The ratio of A to B is 5:3

Multiply both parts by x to get 5x:3x

We need 5x parts of A and 3x parts of B

Adding those parts should get us 656 mL total

A+B = total

5x+3x = 656

8x = 656

x = 656/8

x = 82

Therefore, we need 5x = 5*82 = 410 mL of compound A

Also, we need 3x = 3*82 = 246 mL of compound B

In total, we have A+B = 410+246 = 656 mL which helps confirm the answer.

-----------

Side note: The ratio  410:246 reduces to 5:3 after dividing both parts by 82.

7 0
3 years ago
What is 1/3 rounded to
slavikrds [6]
The real amount is 3.333333333333333333333... so you can round it to 0.3
6 0
3 years ago
Question in the image v
Naily [24]

<1=55

<2=105

<3=55

Step-by-step explanation:

2.these are angles in a straight line so subtract 75 from 180 to get your answer

3.the angle missing from the triangle with 50 is equal to 75 since opposite angles at an x are equal

1.is equal to 55 since these are alternate or z angles with 3

6 0
3 years ago
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