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hammer [34]
3 years ago
6

3. Suppose that a function f(x) is approximated near a = 0 by the 3rd degree Taylor polynomial T3(x) = 4 − 3x + x 2 5 + 4x 3 . G

ive the values of f(0), f0 (0), f00(0), and f 000(0).
Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

f^{(0)}(0)} = 4 \\\\\ f^{(1)}(0) = -3 \\\\\f^{(2)}(0) = 4 \\\ \\f^{(3)}(0) = 4*3! = 24

Step-by-step explanation:

Remember that in general  the taylor series of a function   f   are given by

f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(0)}{n!}x^n  =   \frac{f^{0}(0)}{0!}+\frac{f^{(1)}(0)}{1!} x+ \frac{f^{(2)}(0)}{2!} x^2 + \frac{f^{(3)}(0)}{3!} x^3 + ......

therefore

\frac{f^{(0)}(0)}{0!} = 4 \\\frac{f^{(1)}(0)}{1!} = -3 \\\\\frac{f^{(2)}(0)}{2!} = 1\\\frac{f^{(3)}(0)}{3!} = 4

and then

f^{(0)}(0)} = 4 \\\\\ f^{(1)}(0) = -3 \\\\\ f^{(2)}(0) = 4 \\\ \\f^{(3)}(0) = 4*3! = 24

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creativ13 [48]

Answer:

17,720 ft

Step-by-step explanation:

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5 0
3 years ago
Question 7 A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
QveST [7]

Answer:

1) S=\{1,2,3,4,5,6\}

2) O=\{1,3,5\}

Step-by-step explanation:

Given : A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.

To find : Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling an odd number. If there is more than one element in the set, separate them with commas ?

Solution :

A number cube with faces labeled from 1 to 6 will be rolled once.

The sample space describing all possible outcomes is given by

S=\{1,2,3,4,5,6\}

All of the outcomes for the event of rolling an odd number is given by

O=\{1,3,5\}

6 0
3 years ago
What is the equation for 6/16
ZanzabumX [31]
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3 years ago
In the formula I=PRT, what is the value of T?
OverLord2011 [107]
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3 years ago
20 points
Lubov Fominskaja [6]

Answer:

1/3

Step-by-step explanation:

Slope = ( y₂ - y₁ ) ÷ ( x₂ - x₁ )

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y₁ = 7

x₂ = 4

x₁ = -2

y₂ - y₁ = 9 - 7 = 2

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2 ÷ 6 = 1/3

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3 years ago
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