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Irina-Kira [14]
3 years ago
10

SUN 40

Mathematics
1 answer:
muminat3 years ago
8 0

Answer:

I think it's the distance' an athlete reaches during practice'

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Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente
Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   No singular point due to the exponent in the solution

    The interval is   -\infty

b

   NONE

Step-by-step explanation:

From the question we are told that

     \frac{dy}{dx} =  9y

The generally solution is mathematically represented as

         \frac{dy }{dx}  =  9y

=>       \frac{dy}{y}  =  9dx

integrating both sides  

         \int\limits  {\frac{ dy}{y} } \,  = \int\limits  {9} \, dx

  =>   lny = 9x + c

 =>   y =  e^{9x +c }

 =>    y =  e^{9x} e^{c}

Here e^c  =  C

=>     y = C  e^{9x}

From the above equation we see that the domain for x has no singular point the interval is

       -\infty

Also there is no transient term in the general solution obtained because as  x \to \infty there no case where y \to 0

7 0
3 years ago
What are the solution(s) to the quadratic equation 9x2 = 4?
Kaylis [27]

Answer:

Option B.

Step-by-step explanation:

The given quadratic equation is

9x^2=4

We need to find the solution of given quadratic equation.

Divide both sides by 9.

\frac{9x^2}{9}=\frac{4}{9}

x^2=\frac{4}{9}

Taking square root on both sides.

x=\pm\sqrt{\frac{4}{9}}

x=\pm\frac{2}{3}

The solution of given equation are x=\frac{2}{3} and x=-\frac{2}{3}.

Therefore, the correct option is B.

6 0
3 years ago
Read 2 more answers
The sum of two numbers is 150 the ratio of the same number is 3:2 find the bigger number
Paladinen [302]
3x-\ bigger\ number\\
2x-\ smaller\ number\\\\
3x+2x=150\\\\
5x=150\ \ \ | divide\ by\ 5\\\\
x=30\\\\
3x=3*30=90\\\\ Bigger\ number\ is\ 90.
5 0
3 years ago
In March for every 2 days it rained out of 5 days. A total of 30 days were calculated, How many days did it rain?
icang [17]

Answer:

37 days it rained for sure

4 0
3 years ago
If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week?
Leni [432]

Answer:

77.44%

49.87%

Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

Air left on the second day = 88% - 10.56% = 77.44%

After a week = (100 - 12%)^7 = 49.87%

6 0
2 years ago
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