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Natalka [10]
3 years ago
10

Write an equation for Mai that relates the time in minutes (t) to the distance in meters they travel (d

Mathematics
1 answer:
stealth61 [152]3 years ago
7 0
The verb is a verb on the vets is a verb
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Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
Mama L [17]

Multiplying both sides by y^2 gives

xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1

so that substituting v=y^3 and hence \frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx} gives the linear ODE,

\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1

Now multiply both sides by 3x^2 to get

x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2

so that the left side condenses into the derivative of a product.

\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2

Integrate both sides, then solve for v, then for y:

x^3v=\displaystyle\int3x^2\,\mathrm dx

x^3v=x^3+C

v=1+\dfrac C{x^3}

y^3=1+\dfrac C{x^3}

\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}

6 0
3 years ago
The area of a rectangle deck is 680 square feet. The decks width is is 17 feet. What is the perimeter? PLZ HELP DO TOMORROW!!
Virty [35]

114 feet because the widths are 17 and the lengths are 40. Which is 40+40+17+17=114

7 0
3 years ago
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The equation of a circle is given. What is the diameter of the circle? Round to the nearest tenth.
Law Incorporation [45]

Answer:

14.2 is the diameter.

Step-by-step explanation:

The radius squared = 52.

What you have given is the general equation of the circle with a center at (2,-3) and a radius of sqrt(52)

You can break the 52 down.

sqrt(52) = sqrt(4 * 13) = 2 sqrt(13). Notice that 4 is a perfect square.

d = 2*radius.

d = 2(2 sqrt(13) )

d = 4 sqrt(13)

That is the diameter. You want it to the nearest 1/10

d = 14.222 but it is to the nearest 1/10

d = 14.2

8 0
3 years ago
Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse? 7 cm cm 14 cm cm
Mashutka [201]
Check the picture below.

8 0
4 years ago
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Which equation represents the sentence? the sum of 10 and a number is 3 times the number.
uranmaximum [27]

Answer:

If a neutral object loses 1.5x106 electrons, then what will be its charge? ... Felect = (9x109 N/m2/C2)•(4.65 x 10-6 C)•(7.28 x 10-6 C)/(0.658 m)2 = 0.704 N.

Step-by-step explanation:

5 0
2 years ago
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