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3 years ago

Radian question. Answer asap please!!!

Mathematics

1 answer:

ruslelena [56]3 years ago

3 0

Answer:

Ф = s/r

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle. We want to find a formula for the angle Ф in terms of s and r. To do this, start with s = rФ and divide both sides by r:

s rФ

-- = ----

r r

Then Ф = s/r

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What is the square root of 144?

Andrews [41]

Answer:

12, -12

Step-by-step explanation:

sqrt(144)

What number times itself = 144

12*12 = 144

Also -12*-12 = 144

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3 years ago

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What is the positive solution to the equation:

Sindrei [870]

Answer:

x=8 or -8

Step-by-step explanation:

64 squared = 8 or -8

8x8=64

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2 years ago

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Help please it’s a quiz

Sidana [21]

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3 years ago

tresset_1 [31]

Answer:

60 servings

Step-by-step explanation:

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3 years ago

Find an explicit solution to the Bernoulli equation. y'-1/3 y = 1/3 xe^xln(x)y^-2

NNADVOKAT [17]

$y'-\dfrac13y=\dfrac13xe^x\ln x\,y^{-2}$

Divide both sides by $\dfrac13y^{-2}(x)$ :

$3y^2y'-y^3=xe^x\ln x$

Substitute $v(x)=y(x)^3$ , so that $v'(x)=3y(x)^2y'(x)$ .

$v'-v=xe^x\ln x$

Multiply both sides by $e^{-x}$ :

$e^{-x}v'-e^{-x}v=x\ln x$

The left side can be condensed into the derivative of a product.

$(e^{-x}v)'=x\ln x$

Integrate both sides to get

$e^{-x}v=\dfrac12x^2\ln x-\dfrac14x^2+C$

Solve for $v(x)$ :

$v=\dfrac12x^2e^x\ln x-\dfrac14x^2e^x+Ce^x$

Solve for $y(x)$ :

$y^3=\dfrac12x^2e^x\ln x-\dfrac14x^2e^x+Ce^x$

$\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}$

4 0

2 years ago