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3 years ago

Solve for b. x = ab + c b - d

Mathematics

2 answers:

Law Incorporation [45]3 years ago

3 0

<span>AB+CB=D
B(A+C)=D
B=D/(A+C) answer
2.B*B=A
B^2=A</span>

Thepotemich [5.8K]3 years ago

3 0

Ab + cb = d
b (a + c) = d
b = d/(a + c)
Hope this helps

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Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

3 years ago

How to solve <br> -8x-5+3x=7+4x-9

frez [133]

Answer:

-1/3

Step-by-step explanation:

-8x-5+3x=7+4x-9

-5x-5=7+4x-9

-5x-4x-5=7-9

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3 years ago

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Kobotan [32]

Let x = amount of time the Arlen family must catch up to overtake the Harris family

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45 (6+y) = 58y

270 + 45y = 58y

58y - 45y = 270

y = 270 ÷ 13

y= 20.77min

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3 years ago

Okay whos gonna help me ???

Naddik [55]

Answer:

I will

Step-by-step explanation:

Thats yeah

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3 years ago

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lys-0071 [83]

18miles/6mph = 3hrs
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3 years ago