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4 years ago

The surface area of a composite figure

Mathematics

1 answer:

Aleks [24]4 years ago

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The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f (x )equalsStartFraction x

ankoles [38]

Answer:

The rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities are:

a) 0.52

b) 2.63

Step-by-step explanation:

The rate of change of a function at a given point P can be obtained by evaluating the 1st derivative of the function in P. Thus,

$f(x)=\frac{x^2}{2(1-x)}$

$\frac{df(x)}{dx} = \frac{d(\frac{x^2}{2(1-x)})}{dx} \\\frac{df(x)}{dx} =\frac{x}{1-x} + \frac{x^2}{2(1-x)^2} \\\frac{df(x)}{dx} = -\frac{x(x-2)}{2(x-1)^2}$

Now for we just need to evaluate in each of the given points

a) $\frac{df(0.3)}{dx} =-\frac{0.3(0.3-2)}{2(0.3-1)^2}\\\boxed{\frac{df(0.3)}{dx} =0.520408 \approx 0.52}$

b) $\frac{df(0.6)}{dx} =-\frac{0.6(0.6-2)}{2(0.6-1)^2}\\\boxed{\frac{df(0.6)}{dx} = 2.625\approx 2.63}$

4 0

3 years ago

I'm down to talk........................................................................ sorry it says i have to make it 20 char

Y_Kistochka [10]

Answer:

how are u doing i had a great day i'm livin my best life but enough about me how are you you happy do you feel your best if you dont, say to yourself i am the best and i will have a good day no matter what anyone says. :) a little inspiration

Step-by-step explanation:

6 0

3 years ago

Malcolm buys a 5/6- pound bag of black beans and a 3/4- pound bag of pinto beans. how many pounds of beans does Malcolm buy in a

KonstantinChe [14]

Answer:

5/6 + 3/4 = 19/12

Simplified answer would be 1 7/12

Step-by-step explanation:

5 0

3 years ago

The mean number of touchdowns per football game is 3.7 with a population standard deviation of 0.9. A random sample of 31 footba

frez [133]

Answer:

Right Tail

P(x>3.9)= 0.108

Step-by-step explanation:

In excel, type =NORM.DIST(3.9, 3.7, 0.162, TRUE).

4 0

3 years ago

Y squared plus 7y plus 10 over y squared minus 25

klasskru [66]

Y²+7y+10/y²-25 this is the equation now if your looking for the answer it would be

y^4+7y^3-25y^2-175y+10
_________________________
(y+5)(y-5)

sorry if is a little messy

5 0

3 years ago