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charle [14.2K]
4 years ago
12

(a) What can you say about a solution of the equation y' = −(1/6)y2 just by looking at the differential equation? The function y

must be increasing (or equal to 0) on any interval on which it is defined. The function y must be strictly increasing on any interval on which it is defined. The function y must be decreasing (or equal to 0) on any interval on which it is defined.
Mathematics
1 answer:
Karo-lina-s [1.5K]4 years ago
5 0

y^2\ge0 for any y, and so y' for all y, meaning y is decreasing.

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Trevor tosses a coin then rolls a die
schepotkina [342]

The probability of tossing heads and not rolling 5 is 31/32.

Let us assume a coin is fair and 2-sided.

A coin usually flips heads or tails.

Then to flip heads or tails equals  1/2

​ Consider flipping a coin 5 times.

Since a coin flip has two outcomes, then a coin flip 5 times has 2

5 =32 outcomes.

We may show the outcomes, e.g. use sample space S.

Then (1)S=(H,H,H,H,H),(H,H,H,H,T),…,(T,H,H,H,H),(T,T,T,T,T)

It must follow ∣S∣=32.

A helpful way to see may be S=H, T 5=H, Tx…Hx, T.

<h3>What is the formula for probability?</h3>

P(S)=1-P(A)

If you see the complement of at least 1 tail means 0 tails or 5 heads, then we must surely see 1 outcome, e.g. all heads.

Then it must follow at least one tail that has 31 outcomes,e.g.32–1=31.

To find or compute the probability, then fevorable possible in outcomes.

It means 31/32,

P(E)=1– 32/1= 32/31

​To learn more about the probability visit:

brainly.com/question/24756209

#SPJ1

7 0
2 years ago
Find constants a , b, and c such that the function
n200080 [17]

Answer: a = -2, b = -2, c = 1.

Step-by-step explanation:

We know that:

y = a*x^2 + b*x + c.

Then:

y' = 2*a*x + b

y'' = 2*a.

Then we can write the equation:

y′′ + y′ − 2y = 4x^2.

as:

2*a + 2*a*x + b - 2*(a*x^2 + b*x + c) = 4*x^2

To solve this, the first step is moving all the terms to the same side:

2*a + 2*a*x + b - 2*a*x^2 - 2*b*x - 2*c - 4*x^2 = 0

Now let's group terms with the same power of x.

(-4 - 2*a)*x^2 + (-2*b + 2*a)*x + (-2c + b) = 0

Now, this must be zero for all the values of x, then the parenthesis must be equal to zero:

-4 - 2*a = 0

-2*b + 2*a = 0

-2*c + b = 0

From the first equation:

-4 - 2*a = 0

-4 = 2*a

-4/2 = a

a = -2

And from the second equation:

-2*b + 2*a = 0

2*a = 2*b

a = b

b = -2.

From the third equation we have:

-2c + b = 0

-2c = b

c = b/-2 = -2/-2 = 1.

c = 1

Then our equation is:

y = -2*x^2 - 2*x + 1.

4 0
3 years ago
Where would (2,-4) be on the coordinate plane?
IgorLugansk [536]

Answer:

fourth quadrant

Step-by-step explanation:

5 0
3 years ago
Solve for x.<br> 0.3 (12x – 16) = 0.4(12 — 3x)<br> A: 2<br> B: -4<br> C: 4<br> D: -2
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

the answer is 2 if you go to the website www.tiger-algerbra.com>drill>0.3(12x-16)=0.4(12-3x)

8 0
3 years ago
Lauren went to the store an bougth a red hat for $32 and a black hat for $8 how many times as much did the red hat cost as the b
Firlakuza [10]

Answer:

I think 4

Step-by-step explanation:

Red hat costs $32

black hat costs $8

32 (divided) by 8 is 4

3 0
3 years ago
Read 2 more answers
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