3 years ago

What issue did the great compromise resolve

Mathematics

1 answer:

kondor19780726 [428]3 years ago

8 0

Answer:

The issue of the great compromise resolved representation.

Step-by-step explanation:

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Consider the following.x = t − 2 sin(t), y = 1 − 2 cos(t), 0 ≤ t ≤ 8πSet up an integral that represents the length of the curve.

sweet [91]

The length of the parametric curve (call it <em>C </em>) is given by

$\displaystyle\int_C\mathrm ds=\int_0^{8\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

We have

$x=t-2\sin t\implies\dfrac{\mathrm dx}{\mathrm dt}=1-2\cos t$

$y=1-2\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=2\sin t$

Now,

$\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2=5-4\cos t$

so that the arc length integral reduces to

$\displaystyle\int_0^{8\pi}\sqrt{5-4\cos t}\,\mathrm dt$

which has an approximate value of 53.4596.

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3 years ago

Let f(x)=x2+3x−10. Enter the x-intercepts of the quadratic function in the boxes. x = and x =

SIZIF [17.4K]

Answer:

X= 2.

X= -5.

Step-by-step explanation:

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2 years ago

Can the sides of a triangle have lengths 1, 8, and 9?

Svetllana [295]

Answer:

Step-by-step explanation:

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2 years ago

Solve for x: |3x|=12

Dennis_Churaev [7]

Answer:

x = 4; x = -4

Step-by-step explanation:

|3x| = 12

3x = 12

3x/3 = 12/3

x = 4

3x = -12

3x/3 = -12/3

x = -4

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3 years ago

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What are x and 8 in this lineat equation? 8/x+5=50/25

MatroZZZ [7]

Answer:

x= -8/3

Step-by-step explanation:

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3 years ago