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gizmo_the_mogwai [7]

3 years ago

12

Expressions that show the quotient of a number n and 4

1 answer:

zaharov [31]3 years ago

8 0

the quotient of a number n and 4

$n:4=\dfrac{n}{4}$

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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

What number is equivalent to 47/9

Vikki [24]

Answer:

$\frac{47}{9}$ = 5 $\frac{2}{9}$

4 0

3 years ago

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Need help ASAP!!! Only have one hour please help

rjkz [21]

Answer:

the answer is 28°

Step-by-step explanation:

opposite angles or vertical angles because the 2 lines intersect each other.

3 0

4 years ago

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Find the length of the unknown side. Round your answer to the nearest whole number.

aleksley [76]

The answer is 72.8. in order to solve this problem, you need to use the pythagorean theorem. the equation is c^2-b^2=a^2.

75^2-18^2=a^2

75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.

the square root of 5301 is 72.8079666, rounding to 72.8.

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3 years ago

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Can someone help? Need to turn in tomorrow!

dusya [7]

You have to find what x is to do all of them

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3 years ago