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mina [271]
3 years ago
6

Describe the error in the work shown below.

Mathematics
1 answer:
Serga [27]3 years ago
6 0
The answer is 18+30= 6(3+5) when you distribute the given one 18+30= 6(3+10) which was wrong, you get 18+60 so u need to replace the 10 with something that will equal 30 when multiplied; which is 5.
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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
Consider functions f and g.<br><br><br><br> Which expression is equal to f(x) ⋅ g(x) ?
zimovet [89]

Answer:

It has to be B or D

Step-by-step explanation:

Hope it helps :)

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Answer:

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Step-by-step explanation:

9+2x≤27

1) Subtract both sides by 9:

2x≤18

2) Divide both sides by 2:

x≤9

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Simplify<br> 7^8x7^3x7^4/7^9x7^5
MArishka [77]

Please take a photo of this problem... it looks very hard when it is written in the way you did.

<h3>If I am reading this correctly the answer should be 1,977,326,743x^3</h3>

3 0
3 years ago
Read 2 more answers
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