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3 years ago

13

How do you write a an equation to represent a real world situation

1 answer:

Sauron [17]3 years ago

8 0

Well, there's many equations that represent real world situations. These equations we use a lot in engineering. For example, something fundamental is that we can calculate the velocity of something by knowing it's acceleration by taking the integral of the acceleration.

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Define fn : [0,1] --> R by the

sasho [114]

Answer:

The sequence of functions $\{x^{n}\}_{n\in \mathbb{N}}$ converges to the function

$f(x)=\begin{cases}0&0\leq x$ .

Step-by-step explanation:

The limit $\lim_{n\to \infty }c^{n}$ exists and converges to zero whenever $\lvert c \rvert$ . But, if $c=1$ the sequence $\{c^{n}\}$ is constant and all its terms are equal to $1$ , then converges to $1$ . Using this result, consider the sequence of functions $\{f_{n}\}$ defined on the interval $[0,1]$ by $f_{n}(x)=x^{n}$ . Then, for all $0\leq x$ we have that $\lim_{n\to \infty}x^{n}=0$ . Now, if $x=1$ , then $\lim_{n\to \infty }x^{n}=1$ . Therefore, the limit function of the sequence of functions is

$f(x)=\begin{cases}0&0\leq x$ .

To show that the convergence is not uniform consider $0$ . For any $n>1$ choose $x\in (0,1)$ such that $\varepsilon^{1/n}$ . Then

$\varepsilon$

This implies that the convergence is not uniform.

8 0

3 years ago

ABC ~ DEF and the scale factor from ABC to DEF is 1/2, what are the lengths of DE

Likurg_2 [28]

Answer:

13

Step-by-step explanation:

ABC ~ DEF means that ABC and DEF are the same triangle either expanded or contracted.

In this case the scale factor is 1/2. That means DEF is half ABC.

Since AB = 26 then DE must be 26/2 = 13

6 0

3 years ago

Can anyone help me with this fraction <br> x/-4 = 9 =

olasank [31]

Answer: x= -36

Step-by-step explanation:

-36/-4=9

5 0

3 years ago

Find the exact value of sin(7pi/8)

suter [353]

Answer:2.74889357189

Step-by-step explanation:

3 0

2 years ago

Question 1 of 40<br> If f(x) = 4x² - 6 and g(x) = x² - 4x-8, find (f- g)(x).

Aleksandr-060686 [28]

Answer:

$\huge\boxed{\sf (f-g)(x) = 3x\² + 4x - 14}$

Step-by-step explanation:

<h3><u>Given functions:</u></h3>

f(x) = 4x² - 6
g(x) = x² - 4x - 8

<h3><u>Solution:</u></h3>

Subtract both functions

(f-g)(x) = 4x² - 6 - (x² - 4x - 8)

(f-g)(x) = 4x² - 6 - x² + 4x - 8

Combine like terms

(f-g)(x) = 4x² - x² + 4x - 6 - 8

(f-g)(x) = 3x² + 4x - 14

$\rule[225]{225}{2}$

3 0

2 years ago

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