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3 years ago

Which of the coordinate points below will fall on a line where the constant of proportionality

Mathematics

2 answers:

In-s [12.5K]3 years ago

4 0

C 1,5 coordinates the 5

Snezhnost [94]3 years ago

4 0

I believe it is c hope this helps!!

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C xy2 ds, c is the right half of the circle x2 y2 = 4 oriented counterclockwise

Kryger [21]

Parameterize the contour by

$C:\mathbf r(t)=(2\cos t,2\sin t)\implies \dfrac{\mathrm d\mathbf r}{\mathrm dt}=(-2\sin t,2\cos t)$
$\implies\mathrm dS=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt=2$

where $-\dfrac\pi2\le t\le\dfrac\pi2$ . Then the line integral is given by

$\displaystyle\int_C xy^2\,\mathrm dS=2\int_{-\pi/2}^{\pi/2}(2\cos t)(2\sin t)^2\,\mathrm dt$
$=\displaystyle16\int_{-\pi/2}^{\pi/2}\cos t\sin^2t\,\mathrm dt=\dfrac{32}3$

6 0

4 years ago

The price of an electronic puzzle was reduced be $7

Nimfa-mama [501]

Answer:

Step-by-step explanation:

total price was reduced by $ 7

let x = the total price........ x - 7

he bought 10.....and it cost him $ 130

10(x - 7) = 130

10x - 70 = 130

10x = 130 + 70

10x = 200

x = 200/10

x = 20 <====== original price

7 0

3 years ago

margo used 864 beads to make necklaces for the art club.she made 24 necklaces with the beads.if each necklace has the same numbe

Gnesinka [82]

864÷24=36 beads for every necklace

3 0

3 years ago

Read 2 more answers

What is the domain of f(x)=|x-2|?

Shtirlitz [24]

Answer:

∞, or (-∞, ∞)

Step-by-step explanation:

Basically we're asking when x is undefined. We can tell this a variety of different ways, but the easiest is knowing the rule that a normal function (one that isn't square rooted, taken the log of, or has an x value in a denominator) such as this one will always have a domain that goes to infinity.

4 0

3 years ago

Read 2 more answers

A pond is initially stocked with 1000 catfish, and the fish population is then sampled each month to estimate its size. It is de

Marina86 [1]

Answer:

A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180

Step-by-step explanation:

7 0

4 years ago