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Law Incorporation [45]
3 years ago
7

Which equation does not belong with the other three? Explain your reasoning.

Mathematics
1 answer:
eimsori [14]3 years ago
8 0
G: the solutions are x=2; x=3; x=-4; and x=-6. None of the answers are the same.
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Xy′ = √(1 − y2 ), y(1) = 0
Ulleksa [173]

Answer:

The particular solution is y=\sin (\ln|x|) .

Step-by-step explanation:

The given differential equation is

xy'=\sqrt {1-y^2}

It can be written as

x\frac{dy}{dx}=\sqrt {1-y^2}

Use variable separable method to solve the above equation.

\frac{dy}{\sqrt {1-y^2}}=\frac{1}{x}dx

Integrate both sides.

\int \frac{dy}{\sqrt {1-y^2}}=\int \frac{1}{x}dx

\sin^{-1} y=\ln|x|+C            .... (1)

It is given that y(1)=0. It means y=0 at x=1.

\sin (0)=\ln|1|+C

0=0+C

0=C

The value of constant is 0.

Substitute C=0 in equation (1) to find The required equation.

\sin^{-1} y=\ln|x|+0

Taking sin both sides.

y=\sin (\ln|x|)

Therefore the particular solution is y=\sin (\ln|x|) .

7 0
3 years ago
Write an exponential function in the form y=ab^xy=ab
Juliette [100K]

Answer:

y=20(6)^x

Step-by-step explanation:

hello :

the graph passes through the point (0,20) : when x=0  and  y=20  :

20= ab^0    so a=20 because : b^0 = 1

the graph passes through the point (3,4320) : when x=3.  and  y=4320  : 4320= ab^3  but : a=20   so : 4320 = 20b^3

so : b^3 = 4320/20 = 216...... 216 =  6^3

b^3 = 6^3

b=6

the function is : y=20(6)^x

4 0
2 years ago
What’s 5/6 divided by 5/2 in fraction form
nadya68 [22]

Answera:The answer is 0.3333333333 repeated

Step-by-step explanation:5/6 is 0.8333333 repeated divided by 5/2 which is 2.5 which when divided is 0.333333333 repeated.

4 0
2 years ago
Read 2 more answers
Which is greater 400 mililiters or 4 liters?
Elena-2011 [213]
1 milliliter = 0.001 liters

400 milliliters = 0.4 liters

Therefore, 4 liters is greater than 400 milliliters 
5 0
2 years ago
Read 2 more answers
Write an equation for a line passing through (-4, 3) and (0, 6)
Elena L [17]

Answer:

y = 3/4x + 6

Step-by-step explanation:

6-3          3

------- =  ------

0--4        4

y = mx + b

take coordinates for y and x out of (-4, 3) or (0,6)

6= 3/4 * 0 + b

6 = 0 + b

b = 6

7 0
3 years ago
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