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3 years ago

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:

No singular point due to the exponent in the solution

The interval is $-\infty$

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