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2 years ago

Estimate the temperature at which the rate of chirping is 130 per minute

Mathematics

1 answer:

Andrej [43]2 years ago

8 0

Answer:

Step-by-step explanation:

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For the differential equations dydx=sqrt(y^2−36) does the existence/uniqueness theorem guarantee that there is a solution to thi

julsineya [31]

Answer:

1. (-4,6) there is no a solution to the equation through this point

2. (2,−6) there is no a solution to the equation through this point

3. (−5,39) there is a solution to the equation through this point

4. (−1,45) there is a solution to the equation through this point

Step-by-step explanation:

Using the existence and uniqueness theorem:

Let:

$F(x,y)=\sqrt{y^2-36} \\\\and\\\\\frac{\partial F}{\partial y} =\frac{y}{\sqrt{y^2-36} }$

Now, let's find the domain of $F(x,y)$ , due to the square root:

$y^2-36 \geq 0\\\\y^2\geq 36\\\\y \geq 6\hspace{12}or\hspace{12}y\leq-6$

So the domain of the function is:

$y \in R\hspace{12}y\geq6\hspace{12}or\hspace{12}y\leq-6$

Now, due to the fraction $\frac{\partial F}{\partial y}$ the denominator must be also different from 0, so:

$y^2-36\neq0\\\\y \neq \pm6$

So, the theorem tells us that for each $y_0\in R:\hspace{12}y_0>6\hspace{12}or\hspace{12}y_0$ there exists a unique solution defined in an open interval around $x_0$ .

1. (-4,6) there is no a solution to the equation through this point because $y_0=6$

2. (2,−6) there is no a solution to the equation through this point because

$y_0=-6$

3. (−5,39) there is a solution to the equation through this point because

$y_0>6$

4. (−1,45) there is a solution to the equation through this point because

$y_0>6$

6 0

3 years ago

Hey guy's how yall day

Fiesta28 [93]

Answer:

Its been good so far. My stomach hurts a little it but I ate a chocolate muffin and a UN-crust able so that's good

Step-by-step explanation:

6 0

2 years ago

On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot

Sunny_sXe [5.5K]

Answer:

0.47178 = 47.178%

Step-by-step explanation:

Put simply, this question is asking the probability of having rain atleast twice in the next 5 days. The easiest way that comes to mind is reverse count - find the probability of it not happening. There are two cases for this:

Raining only once:

This has a .7^4 * 0.3 * 5 chance

Raining no times:

This has a .7^5 chance

Adding these together you get 0.52822

This is the inverse probability, so to find the actual probability, subtract it from 1.

P = 0.47178

8 0

2 years ago

This is my question. i’m terrible at this.

lord [1]

Answer:

what is this question...

6 0

3 years ago

Is 921 divisible 3 ? <br> And is 873 divisible by 4 and 491 divisible by 3

joja [24]

Yes 921/3 = 307 873 is not divisible by 4 and 491 is also not divisible by 3

8 0

2 years ago