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3 years ago

Describe the error in the work shown below.

1 answer:

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 :)

3 0

3 years ago

What is the area of the composite figure?

d1i1m1o1n [39]

100cm2 that is the answer I got

4 0

3 years ago

Nine increased by the product of a number and 2 is less than or equal to 27.

Naily [24]

Answer:

x≤9

Step-by-step explanation:

9+2x≤27

1) Subtract both sides by 9:

2x≤18

2) Divide both sides by 2:

x≤9

8 0

3 years ago

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