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Drupady [299]
3 years ago
5

Use the given facts about the functions to find the indicated limit

Mathematics
1 answer:
Alika [10]3 years ago
3 0

Answer:

B. -12

Step-by-step explanation:

The given limit are;

\lim_{x \to -11} f(x)=-3 and \lim_{x \to -11} g(x)=4

We want to find;

\lim_{x \to -11} (fg)(x)=\lim_{x \to -11} f(x)\times \lim_{x \to -11} g(x)

We substitute the given limits to obtain;

\lim_{x \to -11} (fg)(x)=-3\times 4

\lim_{x \to -11} (fg)(x)=-12

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Hi there!

<u>FACTS</u> :

The formula for the volume of a cylinder is : V = \pi × r² × h


<u>STEPS TO ANSWER:</u>

You have the diameter of the cylinder, which is 13cm.

In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:

13 ÷ 2 = 6.5

Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :

V = \pi × r² × h

V = \pi × <u>6.5²</u> × 24

V = \pi × <u>42.25 × 24</u>

V = \pi × 1,014

V = 3,185.574950......


Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.


There you go! I really hope this helped, if there's anything just let me know! :)

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Step-by-step explanation:

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