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3 years ago

Please help −4 2/1÷(−1 8/3)

Mathematics

1 answer:

Artemon [7]3 years ago

5 0

1.636 if you round it it should be 1.7

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Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

HURRY

zepelin [54]

Point A is located at

✔ (–5, –6)

Point B is located at

✔ (9, 9)

7 0

3 years ago

Read 2 more answers

One plumber charges a flat fee of $50 to come to the house and then

yan [13]

Answer:

C=50+20h

Step-by-step explanation:

Since 20 is going to be added every hour, that is the h value. Since 50 is the the initial payment, that is the other value

4 0

3 years ago

Read 2 more answers

Write the slope intercept form of the equation of the line.

rusak2 [61]

Answer:

y= -3+3/2x

Step-by-step explanation:

4 0

2 years ago

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Which of the following ordered pairs are solution to the equation y=-2x+6

konstantin123 [22]

Step-by-step explanation:

I'm not sure what the ordered pairs due to you not providing them, but I can tell you the best way to see if they are solutions.

The best way to do so is by substituting the x and y values into the equation.

For example, if you had the ordered pair (5,2), then you would put the x coordinate in place of x and the y coordinate in the place of y.

Like so:

2 = -2(5)+6

The way you know if its a solution is if they equal the same thing.

Solution example:

2 = 2

Non-solution example:

5 ≠ 3

Hope that helped!

5 0

4 years ago

Please help −4 2/1​÷(−1 8/3​)

Please help −4 2/1÷(−1 8/3)