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2 years ago

9

An individual’s irresponsibility may affect the community. true or false?

1 answer:

aivan3 [116]2 years ago

8 0

True because if someone lets there dog poop on the street and doesn't pick it up they are being irresponsible and then another person could come along and step in it and then it would affect that person

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Which of the following ordered pairs lies on the graph of h(x) = -2x²?

Delvig [45]

Answer:

i think 1-2

Step-by-step explanation:

8 0

2 years ago

use Taylor's Theorem with integral remainder and the mean-value theorem for integrals to deduce Taylor's Theorem with lagrange r

Vadim26 [7]

Answer:

As consequence of the Taylor theorem with integral remainder we have that

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \int^a_x f^{(n+1)}(t)\frac{(x-t)^n}{n!}dt$

If we ask that $f$ has continuous $(n+1)$ th derivative we can apply the mean value theorem for integrals. Then, there exists $c$ between $a$ and $x$ such that

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}dt = \frac{f^{(n+1)}(c)}{n!} \int^a_x (x-t)^n d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{n+1}}{n+1}\Big|_a^x$

Hence,

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{(n+1)}}{n+1} = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1} .$

Thus,

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}$

and the Taylor theorem with Lagrange remainder is

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}$ .

Step-by-step explanation:

5 0

2 years ago

Kelly spends $63.90 on items for a party. She buys thank you cards that cost $5.40 (including tax). She also buys gift bags that

Klio2033 [76]

$63.90 (total)

$5.40 (cards)

$11.70/per (bags)

$63.90 - $5.40 = $58.50

$58.50 / $11.70 = 5

She invited 5 guests (b).

8 0

2 years ago

Read 2 more answers

Five bags of chips cost $7.

Dvinal [7]

Answer:

1. $1.40 2. $8.40

Step-by-step explanation:

1. 7 divided by 5 is 1.4

2. 1.40 plus $7 equals $8.40

6 0

2 years ago

Read 2 more answers

What is the slope of the line?

lys-0071 [83]

The answer is A the line isn't sloping they are on the same y axis

4 0

2 years ago