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2 years ago

If, for all x, f'(x)=(x-2)^4(x-1)^3, it follows that funtaion f has

Mathematics

1 answer:

Elenna [48]2 years ago

4 0

Answer:

We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on. We say that f(x) has a relative (or local) minimum at x=c iff(x)≥f(c) f ( x ) ≥ f ( c ) for every x in some open interval around x=c .

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What is the answer to 0.10*200

stealth61 [152]

20 helped you well.

4 0

3 years ago

At the beginning of the month, the value of a stock is $78.35. By the end of the month the value of the stock has changed by a l

liberstina [14]

Answer:

Step-by-step explanation:

Begining of the month, value of stock=$78.35

At the end, the loss = $12.80

Value of stock at the end of the month= the difference between both values

$78.35 - $12.80 = $65.55

8 0

3 years ago

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len

aniked [119]

Answer:

a. V = (20-x) $x^{2}$ $in^{3}$

b . 1185.185 $in^{3}$

Step-by-step explanation:

Given that:

The height: 20 - x (in )
Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h * $x^{2}$ $in^{3}$

<=> V = (20-x) $x^{2}$ $in^{3}$

b. What is the maximum possible volume of the box?

To maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3 $x^{2}$ + 40x

Let dV / Dx = 0, we have:

-3 $x^{2}$ + 40x = 0

<=> x = 40/3

=>the height h = 20/3

So the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 $in^{3}$

7 0

2 years ago

You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, wh

gayaneshka [121]

Answer:

the probability of not winning is 0.9946

Step-by-step explanation:

The computation of the probability of not winning is shown below:

The Probability of winning is

= 7 ÷ 1302

So, the probability of not winning is

= 1 - 7 ÷ 1302

= (1302 - 7) ÷ 1302

= 1295 ÷ 1302

= 165 ÷ 186

= 0.9946

Hence, the probability of not winning is 0.9946

The same is considered

6 0

2 years ago

Several students were asked to name the kinds of animals they saw in the past week at the park. Determine the ratio that compare

SVETLANKA909090 [29]

Answer:

A. 1:8

Step-by-step explanation:

We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.

Dogs: 8

Cat: 2

Fish: 4

Lizard: 2

We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.

Let us find total number of animal by adding each type of animals as:

$\text{Total animals}=8+2+4+2$

$\text{Total animals}=16$

We can see that the students saw 2 cats, so ratio of cats to total animals would be $2:16$ .

Dividing 2 and 16 by 2, we will get:

$\frac{2}{2}:\frac{16}{2}\Rightarrow 1:8$

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.

5 0

2 years ago