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Anit [1.1K]
3 years ago
14

How can a linear approximation be used to approximate the value of a function f near a point at which f and f prime are easily​

evaluated?
Mathematics
1 answer:
sammy [17]3 years ago
4 0

Answer:

This can be solved by calculating a first degree Taylor approximation polynomial for the function in question around x=a. Taylor's first degree polynomial is given by:

P_1(a) =f(a) +f'(a)(x-a)

Through this expression, which is easily evaluable around the point x = a, the function f (x) is approximated through a linear function.

Step-by-step explanation:

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Rama09 [41]

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6 0
3 years ago
Find the sum of the geometric series: <br>32 - 8 + 2 - 1/2 +...
ZanzabumX [31]
Time to work it out 
32 - 8 + 2 - 1/2
32 - 8 + 2 = 26
now you have
-1/2 + 26 
so we convert 26 to fraction form to subtract 
26/1 - 1/2
we must find the common denominator
52/2 - 1/2
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6 0
3 years ago
You roll two fair dice, a green one and a red one.
olga_2 [115]

Answer:

(a) yes

(b) 1/36

(c) 1/36

(d) 1/18

Step-by-step explanation:

(a) yes they are independent as the outcome of one does not affect the outcome of the other.

(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

P(1 on green die) = 1/6

P(2 on red die) = 1/6

Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36

(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

P(2 on green die) = 1/6

P(1 on red die) = 1/6

Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36

(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)

= 1/36 + 1/36

= 2/36

= 1/18

3 0
2 years ago
☝︎image<br> HELP ME PLEASEE
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Answer:

7. 5

8. 33. 3333 or 100/ 3

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3 years ago
5x + y = 6 5x + 3y = -4 The y-coordinate of the solution to the system shown is ___.
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Subtract these 2 equations,

5x-5x +3y-y = -4-6

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y = -5

-5 is your answer.
6 0
4 years ago
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