3 years ago

Which is larger, 3/7 or 5/7?

Mathematics

1 answer:

Wittaler [7]3 years ago

4 0

Answer:

5/7

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)

Mnenie [13.5K]

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

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt$
$\mathrm ds=\|\langle3,4\rangle\|\,\mathrm dt$
$\mathrm ds=5\,\mathrm dt$

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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3 0

3 years ago

Need help with number 5 and number 6

Goshia [24]

Answer:

5 d) 9 1/3

6 d) 2

Step-by-step explanation:

Proportions:

7 ⇒ 4

BY ⇒3

BY = 7*4/3

BY = 28/3

28/3 = 27/3 + 1/3 = 9 1/3

BY = 9 1/3

12 ⇒ 3

8 ⇒ SX

SX = 3*8/12

SX = 2

7 0

3 years ago