choose all of the terms that describe the set of lines. transversal parallel lines perpendicular lines intersecting lines

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

Answer:

C. Perpendicular Lines

D. Intersecting Lines

Step-by-step explanation:

Intersecting lines are a pair of lines, line segments or rays are intersecting if they have a common point.

Perpendicular lines are a point where two city roads intersect.

Hope this helps. I am sorry if you get it wrong.

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Evaluate the line integral for x^2yds where c is the top hal fo the circle x62 _y^2 = 9

natulia [17]

Parameterize $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=\langle3\cos t,3\sin t\rangle$

where $0\le t\le\pi$ . Then the line integral is

$\displaystyle\int_Cx^2y\,\mathrm dS=\int_{t=0}^{t=\pi}x(t)^2y(t)\left\|\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\right\|\,\mathrm dt$
$=\displaystyle\int_{t=0}^{t=\pi}(3\cos t)^2(3\sin t)\sqrt{(-3\sin t)^2+(3\cos t)^2}\,\mathrm dt$
$=\displaystyle3^4\int_{t=0}^{t=\pi}\cos^2t\sin t\,\mathrm dt$

Take $u=\cos t$ , then

$=\displaystyle-3^4\int_{u=1}^{u=-1}u^2\,\mathrm du$
$=\displaystyle3^4\int_{u=-1}^{u=1}u^2\,\mathrm du$
$=\displaystyle2\times3^4\int_{u=0}^{u=1}u^2\,\mathrm du$
$=54$

6 0

3 years ago

Find the missing terms in each arithmetic sequence 1,__,__,-17 2,__,__,20

Galina-37 [17]

Answer:

-5,-11

8,14

Step-by-step explanation:

Let 's say r the commun difference

1,1+r,1+2r,1+3r=-17

1+3r=-17

3r=-18