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Ira Lisetskai [31]
3 years ago
12

I need help with number 9: h, i, k and l

Mathematics
1 answer:
lozanna [386]3 years ago
7 0
But i really need a name of this book and authors :)

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Use Green's Theorem to evaluate F · dr. C (Check the orientation of the curve before applying the theorem.)F(x, y) = y cos(x) −
Sergeeva-Olga [200]

Notice that <em>C</em> has a clockwise orientation. By Green's theorem, we have

\displaystyle\int_C\mathbf F(x,y)\cdot\mathrm d\mathbf r=-\iint_D\left(\frac{\partial(xy+x\cos x)}{\partial x}-\frac{\partial(y\cos x-xy)}{\partial y}\right)\,\mathrm dx\,\mathrm dy

where <em>D</em> is the triangule region with <em>C</em> as its boundary, given by the set

D=\{(x,y)\mid0\le x\le2\land0\le y\le8-4x\}

So we have

\displaystyle\int_C\mathbf F(x,y)\cdot\mathrm d\mathbf r=-\int_0^2\int_0^{8-4x}((y+\cos x-x\sin x)-(\cos x-x\sin x))\,\mathrm dy\,\mathrm dx

\displaystyle\int_C\mathbf F(x,y)\cdot\mathrm d\mathbf r=-\int_0^2\int_0^{8-4x}y\,\mathrm dy\,\mathrm dx=\boxed{-\dfrac{64}3}

5 0
3 years ago
What is the index of equation and what does it mean to you in terms of simplifying this expression?
spin [16.1K]

The goal in simplifying numbers is to reduce it that can be best seen in the eye. In here, you are given 5a x 2c x 3d. Note that 5, 2 and 3 are coefficients and a, c and d, are variables. Multiply first the coefficients 5, 2 and 3 and you get 30. Always remember that in multiplying numbers, especially variables, the base of the exponent must be equal. However, you have variables of a, c and, d. You cannot multiply or add them because they are different. So the answer is 30acd.

8 0
3 years ago
Solve for the following 4x=8
Nesterboy [21]

Answer:

4x=8

Step-by-step explanation:

divide 4x÷4=8÷4

x=2

6 0
3 years ago
Read 2 more answers
Is [(2,3),(3,2),(4,5),(5,4)] a function?
romanna [79]
Yes it is, if you didn't use a number more than once in the x-axis then it is a function
3 0
3 years ago
Pls help me solve this
MA_775_DIABLO [31]
30 red, 45 brown, 51 Orange, 39 yellow.
You need to add together the 4 numbers in the chart 10+15+17+13=55 then you do 10/55=0.1818... then times by 165 and do this for the other numbers as well.
7 0
2 years ago
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