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julia-pushkina [17]

1 year ago

7

Carefully follow the steps to find the solution to the three equation system.

1 answer:

il63 [147K]1 year ago

5 0

Answer:

The answer is (1,4,2)

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Consider the equation ay'' + by' + cy = d, where a, b, c, and d are constants. (a) find all equilibrium, or constant, solutions

Orlov [11]

Rewrite equation so that it is homogeneous .
$ay'' +by' + cy = 0$

Solve characteristic equation:
$ar^2 +br + c = 0 \\ \\ r = \frac{(-b) \pm \sqrt{b^2 -4ac}}{2a}$

The solutions to the homogeneous equation are:
$y = k_1 e^{r_1 t} + k_2 e^{r_2 t}$

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
$y= k_1 e^{r_1 t} + k_2 e^{r_2 t} + \frac{d}{c}$

4 0

3 years ago

How do i solve this question

Ludmilka [50]

Answer:

$a\frac{c}{8\pi b}$

Step-by-step explanation:

Divide both sides by $8\pi b$

$\frac{8\pi ab}{8\pi b} =\frac{c}{8\pi b}$

Simplify:

$a\frac{c}{8\pi b}$ ; $a\frac{c}{8\pi b}; b\neq 0$

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3 years ago

What is vertex of x^2+5x-3

Art [367]

$\text{The vertex of}\ ax^2+bx+c:\\\\(h,\ k),\ \text{where}\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(-b^2-4ac)}{4a}$

$\text{We have:}\\f(x)=x^2+5x-3\\\\a=1,\ b=5,\ c=-3\\\\h=\dfrac{-5}{2\cdot1}=\dfrac{-5}{2}=-2.5\\\\k=f(-2.5)=(-2.5)^2+5(-2.5)-3=6.25-12.5-3=-9.25$

$\text{Answer: the vertex is in}\ (-2.5;\ -9.25)$

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3 years ago

A dance studio teaches students a contemporary dance form. It is observed that the probability of students from this studio beco

Helen [10]

$\mathbb P(X=75)=\dbinom{120}{75}0.69^{75}(1-0.69)^{120-75}\approx0.0239$

or about a 2.4% chance.

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3 years ago

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At a sale, shirts were sold for $20 each. This price was 80% of their original price. What was the original price?

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Answer:

100%hajsmsmwkwkkqjwjnwnw

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3 years ago