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Pavel [41]
3 years ago
5

Label the slope and y intercept​

Mathematics
2 answers:
quester [9]3 years ago
7 0

Answer:

y-intercept: 6,-1

Slope: 3/-4 i think

miv72 [106K]3 years ago
5 0

Answer:

slope= -4/3, Y-intercept: 7

Step-by-step explanation:

So for the slope, you use y2-y1/ x2-x1:

-1 - 3/ 6 - 3 = -4/ 3

this will be the same no matter which two points you use.

For the y-intercept, plug in a point and solve for b.

y = mx+b

-5= -4/3(9) + b

b= 7

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

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\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
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