Find the first three iterates of the function f(z)=z2+c with a value of c=1+2i and an initial value of z0=0

Answers

Answer 1
Answer:

Answer:

z1 = 1+2i

z2 = -2 + 6i

z3 = -31 - 22i

Step-by-step explanation:

Given that: z(n+1) = z(n)² + c, c = 1+2i and z0 = 0. Then:

z1 = c = 1+2i

z2 = (1+2i)² + 1+2i =

z2 = 1 + 2*1*2i + 4i² + 1+2i =

z2 = 1 + 4i - 4 + 1+2i = -2 + 6i

z3 = (-2 + 6i)² + 1+2i =

z3 = 4 + 2*(-2)*6i + 36i² + 1+2i =

z3 = 4 - 24i - 36 + 1+2i = -31 -22i

Answer 2
Answer:

Answer:

14x

Step-by-step explanation:

multiply the 2i by the 0 eulogistic quotient


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The prism has a surface area of 1312 mm2.What would the surface area of the prism be if each dimension were halved?


mm2

Prism with a length of thirty-two millimeters, a width of ten millimeters, and a height eight millimeters

Answers

Surface Area = 2(lw + lh + wh)

Divide each dimension by half, and then plug it in to the formula.

32/2 = 18
10/2 = 5
8/2 = 4

Surface Area = 2((4)(5) + (4)(18) + (5)(18))
SA = 2(20 + 72 + 90)
SA = 2(182)

SA = 364

The surface area if each dimension was halved would be 364 mm^2.

Hayden brought 18 new trading cards. Three-fourths of the new cards are baseball cards. How many baseball cards did Hayden buy

Answers

He bought 36 baseball cards. Since 3/4 of the 48 cards are baseball cards, you need to find 75% of 48, which is 36 cards. 

HELP PLEASEEEEEEE
SOLVE FOR VOLUME

Answers

Answer:

196meters^2

Step-by-step explanation:

The formula for the area of a triangle is : (base*height)/(2)

To work this out you would first have to work out the area of the triangle. You can do this by multiplying the base of 14 by the height of 14, this gives you 196.

The next step is to divide the answer of 196 by 2, this gives you 98. This is because the formula is the same as that for the area of a square and that a triangle would be half of a square with the same dimensions.

The final step is to multiply 98 by the length  of 20, this gives you 1960 meters cubed.

1) Multiply 14 by 14.

14*14=196

2) Divide 196 by 2.

196/2=98

3) Multiply 98 by 20.

98*20=196meters^2

Answer:

volume = area of triangle * height = 12.124355653*14/2    *    20 = 1697.40 m3

Step-by-step explanation:

the triangle is equilateral triangle ->

a^2 = 14^2 - 7^2 = 147

-> a = 12.124355653

volume = area of triangle * height = 12.124355653*14/2    *    20 = 1697.40 m3

Tyler makes $10 per hour at his job.The function f(x)=10x gives the amount of money Tyler makes after x hours.Graph this function and give its domain and range.

Answers

You will have the points: (0,0) and (1,10) and (2,20) and (3,30) etc etc

Plot at least 2 of these points. Then draw a line through them.

Each point has an x,y pair such that the y value is ten times the x value

For example, if x = 2, then

y = 10*x = 10*2 = 20

so that shows how (2,20) is one of the points.

-------------------

The domain would be the set of positive whole numbers assuming Tyler can only work a whole number of hours. If partial time values are accepted, then the domain would be the set of positive real numbers. Negative x values are not allowed as Tyler can't work negative 3 hours for instance.

In a similar fashion, the range is the set {0, 10, 20, 30, 40, ...} incrementing by multiples of 10 if x is the set of positive whole numbers. If x is the set of positive real numbers, then y can be 0 or larger which sets up the range of y being the set of positive real numbers as well.

Name all sets of numbers for 7.2

Answers


That's a verrrrrry interesting number ! 
It belongs to an infinite number of sets,
and I'm pretty busy right now.

Here are just a few of them:

-- real numbers
-- rational numbers
-- positive numbers
-- mixed numbers
-- multiples of  0.1
-- multiples of  0.2
-- multiples of  0.3
-- multiples of  0.4
-- multiples of  0.6
-- multiples of  0.8
-- multiples of  0.9
-- multiples of  1.2
-- numbers less than  7.21
-- numbers less than  7.22
-- numbers less than  7.23
.
.
etc.

-- numbers greater than  7.19
-- numbers greater than  7.18
-- numbers greater than  7.17
.
.
etc.

The relation {(4,10), (1,9), (5,10), (1,10)} is a function

Answers

it is not a function

for functions to work, there can only be one y value per x value aka if you see a set like this:  

{(4,2), (6,5), (10,1), (3,6), (6,7)}  

It is not a function because there are two y values (5 and 7) for one x value (6).