2 years ago

Which graph best represents a function with range -4 ≤ y ≤ 3?

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

7 0

Answer:

circle graph

Step-by-step explanation:

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∫c<br> x sin y ds, C is the line segment from (0, 1) to (3, 5)

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Parameterize the line segment $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle$

where $t\in[0,1]$ . Then

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt$
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$\mathrm ds=5\,\mathrm dt$

So the integral is

$\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt$
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2 years ago