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1 year ago

12

Helpp- question linked below

1 answer:

Ksenya-84 [330]1 year ago

5 0

Answer:

Ann = 67 stickers

Josh = 60 stickers

Claire = 30 sickers

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Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol

nordsb [41]

The ODE has an equilibrium point at

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba$

We want $y=2$ to be an unstable equilibrium solution - in other words, we want all solutions with initial condition $y(t_0)=c$ for $c$ near 2 to diverge from $y=2$ - so $-dfrac ba=2$ .

Divergence from $y=2$ would require that for $y>2$ , any solution is increasing, and for $y$ , and solution is decreasing. In order for that to happen, we need

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba$

if $y>2$ , and

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b$

if $y$ .

Now we just pick $a,b$ to satisfy these conditions. An easy choice is $a=1$ , which forces $b=-2$ , so that one possible ODE would be

$\dfrac{\mathrm dy}{\mathrm dt}=y-2$

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0

3 years ago

What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ?

victus00 [196]

Answer: (x³ - 2x² - 11x + 12)

Step-by-step explanation:

Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)

7 0

3 years ago

How much money should be invested in an account that earns 3% interest, compounded monthly, n=12, in order to have $14,000 in 4

melisa1 [442]

Answer:

D ko alam HAHAHAHA bahala kang bobo ka HAHAHAHAHAHAHA

Step-by-step explanation:

Tanong mo kay ser kung anong sagot potanginamo ka

5 0

2 years ago

H. Goes through (-3, -2) and parallel to y = 5 x +5

olchik [2.2K]

Answer: y = 5x + 13

<u>Step-by-step explanation:</u>

Parallel means it has the same slope.

Given line y = 5x + 5 --> the slope is 5, so parallel slope is 5

Use the Point-Slope formula: y - y₁ = m(x - x₁) such that

m = 5
(x₁, y₁) = (-3, -2)

y + 2 = 5(x + 3) <em>input m and (x₁, y₁) into the Point-Slope formula</em>

y + 2 = 5x + 15 <em>distributed</em>

y = 5x + 13 <em>subtracted 2 from both sides</em>

7 0

3 years ago

Jackson is packing for a trip with his family. He is taking the items shown in the table.

Serhud [2]

Answer:

25%

Step-by-step explanation:

there is 8 items right 8 is 100% of all items and you are trying to find out the % of wering the jeans and the red shirt.

so 8 is 100% using that 1 of 100% is 12.5%

12.5% times 2 is 25 so 25% you might wear the jeans and the red shirt

hop this helps.

8 0

3 years ago