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12345 [234]
2 years ago
9

PLEASE HELP! GRAPH THE FUNCTION

Mathematics
2 answers:
algol [13]2 years ago
8 0

#8

  • y=4(x-0)²+0

Vertex at (0,0)

#11

  • y=-6(x-0)²+0

Same Vertex

#14

  • y=-(x-0)²+2

Vertex (0,2)

damaskus [11]2 years ago
4 0

Step-by-step explanation:

by order

the 1st one y = 4x^2

vetex (0,0) and upward

the 2nd one y = -6x^2

vertex (0,0) and downward

the 3rd one y = -x^2 + 2

vertex (0,2) and downward

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Classify the following triangle. Check all that apply.
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Answer:

C and F

Step-by-step explanation:

F means the triangle is a Right angled triangle because all the individual angles are 90 degrees or less.

C means the triangle is a Scalene triangle because none of the sides are equal in value.

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Debra is on the swim team. Each day she swims 850m. How many kilometers does she swim each day?
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Which of the following represents…
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In the study of population dynamics one of the most famous models for a growing but bounded population is the logistic equation
MA_775_DIABLO [31]

Answer:

If  K is a constant of integration, then

P = {\displaystyle \frac{1}{b/a + Ke^{-at}}}

Step-by-step explanation:

According to the information of the problem we know that

{\displaystyle \frac{dP}{dt} = P(a-bP) }

Remember that in general a Bernoulli equation is an equation of the type

y' + p(x)y = q(x)y^n

And the idea to solve the equation is to substitute

{ \displaystyle v = y^{1-n}}

Now for this case

{\displaystyle \frac{dP}{dt} - Pa  = -bP^2}

Then we substitute

v = P^{1-2} = P^{-1}

Therefore

P = v^{-1}

and if you compute the derivative of that you get that

{\displaystyle \frac{dP}{dt} = -v^{-2} \frac{dv}{dt}}

Now you substitute that onto the original equation and get

{\displaystyle \frac{dP}{dt} - Pa  = -bP^2}

{\displaystyle  -v^{-2} \frac{dv}{dt} - v^{-1} = -bv^{-2}

If you multiply everything by  -v^2  you get that

{\displaystyle \frac{dv}{dt} + v = b }

That's a linear differential equation and the solution would be

v = {\displaystyle \frac{b}{a} + Ke^{-at}} = P^{-1}

Where K is a constant of integration, then

P = {\displaystyle \frac{1}{b/a + Ke^{-at}}}

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3 years ago
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Zigmanuir [339]

Answer:

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Step-by-step explanation:

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This matches answer B.

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3 years ago
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