All categories

2 years ago

Use the given graph to determine the limit, if it exists. (4 points)

Mathematics

1 answer:

Zina [86]2 years ago

6 0

The limit as x approaches three from the right of f(x) is 3

<h3>What is the Limit of a function ?</h3>

The value a function approaches when the variable approaches its limit.

A graph is given which shows a piece wise function ,

As when the limit approaches from the right the function can be seen approaching 3 , it is not 3 at 3 but approaching to 3

The right hand lim x--> 3 f(x) approaches 3 .

Therefore , limit as x approaches three from the right of f(x) is 3

To know more about Limit of a function

brainly.com/question/7446469

#SPJ1

You might be interested in

Roger is building a frame for a flower bed. He is using left-over scraps of wood from his garage. He needs a total of 12 feet of

Korolek [52]

Answer:

C. No, because 11.34 < 12

Step-by-step explanation:

3.14 + 4.12 + 4 has to be greater than or equal to 12

solve the equation

3.14 + 4.12 + 4 >= 12

7.26 + 4 >= 12

11.26 >= 12 is false

I don't know why it says 11.34 because the numbers don't add up, so I'll assume that there is a typo somewhere.

6 0

3 years ago

Assume that it costs Apple approximately E(x) 25,600 + 100x + 0.012 dollars to manufacture x 32GB iPods in a day. (a) The averag

uranmaximum [27]

Answer:

(a) $C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)x=1600, Minimum Average Cost Per iPod=$132

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

Step-by-step explanation:

Given that it costs Apple approximately $ C(x) to manufacture x 32GB iPods in a day, where:

$C(x)=25,600+100x+0.01x^2$

(a)The average cost per iPod when they manufacture x iPods in a day is given by:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}$

The average cost per iPod is therefore:

$C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)To minimize average cost of x iPods per day, we set the average cost per iPod=0 and solve for x.

$C'(x)=\dfrac{x^2-2560000}{x^2}=0\\x^2-2560000=0\\x^2=2560000\\x=\sqrt{2560000}=1600$

The resulting minimum average cost (at x=1600) is given as:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}\\\dfrac{25,600+100(1600)+0.01(1600)^2}{1600}\\=\$132$

<u>Second derivative test</u>

(c)The answer above is a critical point for the average cost function. To show it is a minimum, we calculate the second derivative of the average cost function.

$C''(x)=\dfrac{5120000}{x^3}$

At the critical point, x=1600

$C''(1600)=\dfrac{5120000}{1600^3}=0.00125$

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

3 0

3 years ago

7 inches of snow in 7 hours rate and unit rate

Luda [366]

Answer:

unit rate: (1,1)

Step-by-step explanation:

3 0

3 years ago

Someone help me please!

Dvinal [7]

Answer:

The radius is 25 cm

Step-by-step explanation:

Area = $\pi$ * r^2

Area = 625 * $\pi$

625 $\pi$ = $\pi$ * r^2 The $\pi$ s cancel out

r^2 = 625 Take the square roots of both sides

sqrt(r^2) = sqrt(625)

r = 25

4 0

3 years ago

Brainliest if correct!

gladu [14]

Answer:

Option c (letter V)

Step-by-step explanation:

5 0

3 years ago