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natka813 [3]
3 years ago
5

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 5i.

Mathematics
2 answers:
Zolol [24]3 years ago
5 0

Answer:

The three iterates are:

  • z_1=8i+3
  • z_2=14i+9
  • z_3=26i+21

Step-by-step explanation:

We are asked to find the first three iterates of the function:

f(z) =2z+(3-2i) with an initial value:

z_0=5i

The first iterate is:

z_1=f(z_0)=2z_0+(3-2i)\\\\z_1=2\times 5i+3-2i\\\\z_1=10i-2i+3\\\\z_1=8i+3

Now, the second iterate is:

z_2=f(z_1)=2z_1+(3-2i)\\\\z_2=2\times (8i+3)+3-2i\\\\z_2=16i+6+3-2i\\\\z_2=14i+9

Third iterate is:

z_3=f(z_2)=2z_2+(3-2i)\\\\z_3=2\times (14i+9)+3-2i\\\\z_3=28i+18+3-2i\\\\z_3=26i+21

Agata [3.3K]3 years ago
4 0
3 because the 2z minus the 3 gives you 1 rounded
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Four times the lesser of two consecutive even integers is 12 less than twice the greater number. Find the integers.
pashok25 [27]
Oh, this one lol. ok
you gotta read it like its a book.
4 x s(i picked that variable) which is 4s together

4s+12 (if they said'12 less than' then the 12 gotta be adding.)
then u have to divide it so its going to look like this:

4s+12= blah blah blah
'twice the greater number' means you gotta do this: 2(s+2)

so the problem is this: 4s+12=2(s+2)

now you solved it and the answer will beeeeee s=-4
7 0
3 years ago
Question 3 options: lily is building a picture frame. the larger rectangle represents the frame. the smaller rectangle represent
Finger [1]

The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Area of a larger rectangle

= Length × Width

= 18 × 12

= 216 in.²

Area of the smaller rectangle

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length × Width

= 8 × 14

= 112 in.²

Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle

= 216 - 112

= 104 in.²

Hence, the area of the shaded region of this figure is 104 in.²

Learn more about the area;

brainly.com/question/2289492

5 0
2 years ago
When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
3 years ago
6
Veseljchak [2.6K]
The answer is i think 262.08 miles
8 0
3 years ago
Read 2 more answers
PLEASE HELP MEEEE
Rus_ich [418]

Answer:

15771 > - 7

Step-by-step explanation:

Comparing the elevation of the two points ;

Point with elevation of 15771 is positive meaning it occurs above sea level and this higher than the point with an elevation of - 7 which is occurring below sea level

Hence, to compare both elevations :

Montblanc has higher elevation than Rhone river delta

Montblanc elevation > Rhone river delta

15771 > - 7

4 0
3 years ago
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