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arlik [135]
3 years ago
11

Please answer find two points!!!!please

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

i have n clue

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A. Find y in terms of x if
givi [52]

Answer:

A.y(x) =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}

B.Therefore the solution is defined on the interval:

6≤ x ≤ +∞

Step-by-step explanation:

Given differential equation is

\frac{dy}{dx} = x^4y^{-1}

\Rightarrow \frac{dy}{dx} =\frac{ x^4}{y}

\Rightarrow y dy = x^4dx

Integrating both sides:

\Rightarrow\int y dy = \int x^4dx

\Rightarrow \frac{y^2}{2} =\frac{x^5}{5} +C........(1)

Given y(0)= 6

it means y=0 when x=6

Putting x=6 and y=0 in the equation (1)

\therefore \frac{0^2}{2} =\frac{6^5}{5} +C

\Rightarrow C=-\frac{6^5}{5}

Equation (1) become:

\Rightarrow \frac{y^2}{2} =(\frac{x^5}{5} -\frac{6^5}{5})

\Rightarrow y} =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}

Therefore y(x) =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}

(B)

The quantity under root must greater than or equal to zero.

Therefore,

2(\frac{x^5}{5} -\frac{6^5}{5})} \geq0

\Rightarrow \frac{x^5}{5} -\frac{6^5}{5}} \geq0

\Rightarrow \frac{x^5}{5} \geq\frac{6^5}{5}}

\Rightarrow x^5\geq {6^5

\Rightarrow \sqrt[5]{x^5} \geq \sqrt[5]{6^5}

\Rightarrow x\geq {6

When x≥0 then the value of 2(\frac{x^5}{5} -\frac{6^5}{5})} is real other wise the value of 2(\frac{x^5}{5} -\frac{6^5}{5})} is imaginary.

Therefore the solution is defined on the interval:

6≤ x ≤ +∞

8 0
4 years ago
What is the difference between 61.8 and 27.3 write the answer as a decimal to nearest tenth (please answer ASAP)
kati45 [8]

Answer:34.5

Step-by-step explanation:

Difference = subtract

6 0
3 years ago
120 divided by what equals 1.2
Nikitich [7]
100 is the correct answer
6 0
3 years ago
I need help I dont know how to do it<br>​
Ganezh [65]

Answer:

I put the answers in the picture below!

Step-by-step explanation:

3 0
3 years ago
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!1
posledela

<u>Assuming that k is variable:</u>

6k - 6²

<u>Assuming that 3k represents 3000:</u>

426×7

7 0
3 years ago
Read 2 more answers
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