derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion

Answers

Answer 1

Answer:

the answer is probably 5


Related Questions

help please i dont understand will mark brainlyist

Answers

It’s 16 because if u multiple each by 16 then it’s true/ right

Answer:

Its D

Step-by-step explanation:

Its D because each one is multiplied by 16

PLEASE NO LINKS I LOST SO MANY POINTS

Answers

Answer:

We will split the trapezoid into right angle triangle and rectangle

Traingle with base 3cm and height 10 - 6 = 4cm

Area of traingle

       = [tex]\frac{1}{2}*base *height = \frac{1}{2} * 3 * 4 = 6cm^{2}[/tex]

Area of rectangle with sides 6cm and 3cm

       =[tex]6 * 3 = 18cm^{2}[/tex]

Therefore, area of the trapezoid

       = [tex]6+18 = 24cm^{2}[/tex]

Area of the semi circle with radius 3/2 = 1.5cm

        = [tex]\frac{1}{2}\pi r^{2} = \frac{1*\pi *1.5*1.5}{2} = 1.125\pi cm^{2}[/tex]

[tex]Total area = 24 + 1.125\pi =27.53cm^{2}[/tex]

A soccer ball is kicked from the top of a 64 ft building into the air at an initial speed of 48 ft/sec. Its flight as a functions of time can be modeled by: h(t)=−16t2+48t+64. After how many seconds, will the soccer ball hit the ground (h=0)?

Answers

Answer:

t = 4 seconds

Step-by-step explanation:

The height of a soccer ball as a function of time is given by :

[tex]h(t)=-16t^2+48t+64[/tex]

We need to find the time when the ball hit the ground i.e. h = 0

Put h = 0 in above equation. So,

[tex]-16t^2+48t+64=0\\\\16(-t^2+3t+4)=0\\\\-t^2+3t+4=0[/tex]

It is a quadratic equation such that,

t = -1 s and t = 4 s

Neglecting -1 s, the ball will hit the ground after 4 seconds.

A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?

Answers

Answer:

3

Step-by-step explanation:

find the 46th term 261 256 251

Answers

Answer:

36

Step-by-step explanation:

The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:

a + (n - 1)d

where a is the first term and d is the common difference. We can substitute our values in:

261 + (46 - 1)(-5)

261 + (45)(-5)

261 + (-225)

36

Answer:

36

Step-by-step explanation:

Have a good day :)

Which is equivalent to 3/84"?

Answers

Answer:

[tex]\sqrt[12]{8} ^x[/tex]

Step-by-step explanation:

[tex]3 / \frac{1}{4} = 12[/tex]

Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry.


Part A
Determine an exponential function model to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.



Part B
Using your exponential model predict how many ants would be in the pantry by Friday if the trend continues. Explain if your response is reasonable.



Part C
Does the problem situation represent exponential growth or decay? Justify your reasoning.

Answers

I can correctly answer this question but I need you to answer my math questions first

There are 4 consecutive integers that sum to 394. What is the least of these integers?​

Answers

Answer: 97

Step-by-step explanation:

394 / 4 = 98.5, so the 4 numbers must be around 98.5.

97 + 98 + 99 + 100 = 394

Due to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?

a. Draw a diagram that models the situation. Be sure to label it.










b. Write an equation that models the situation and solve it.

Answers

Answer:

good luck always brings luck the answer is 12

Step-by-step explanation:

I own 1 mini fish and 2 giant fish each giantfish weighs 3 times as much as minfish. If my mini fish eats my two giantfish, then how many times more weight will my mini fish have now than before

Answers

Answer: 6 pounds

Step-by-step explanation:

Answer:

The mini fish would weigh 6 times its original amount hypothetically but if we were talking realistically then you would need more information to figure that out. But even then there's no way of determining the specific weight.

Step-by-step explanation:

Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?

Group of answer choices

60

80

200

160

Answers

Answer:

200

Step-by-step explanation:

41 x 5 = 205

20% x 5 = 100%

Tell whether the equation has one, zero, or infinitely many solutions.

4(x − 8) + 9 = 4x − 23

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

4(x-8)+9=4x-23

4x-32+9=4x-23

4x-23=4x-23

infinitely many solutions.

Alana is 2 years younger than Tommy and the
sum of their ages is 16. How old is Alana?

Answers

Answer:

7

Step-by-step explanation:

9 - 2 = 7

7 + 9 = 16

Mark as Brainliest

A = T - 2

A + T = 16

T - 2 + T = 16

Alana is 7 and tommy is 9

Solve for T then A.

what is the value of x ?

Answers

Answer:

x = 19

Step-by-step explanation:

The two angles form a right angle

A right angle has a measure of 90 degrees

Thus, x + 14 + 3x = 90

               ^This is the equation we will use to solve for x

x + 14 + 3x = 90

step 1 combine like terms

x + 3x = 4x

we now have 4x + 14 = 90

step 2 subtract 14 from each side

90 - 14 = 76

14 - 14 cancels out

we now have 76 = 4x

step 3 divide each side by 4

4x / 4 = x

76 / 4 = 19

we're left with x = 19

the sum of 2 numbers is 18 while the product is -63. find the numbers.​

Answers

Answer:

Step-by-step explanation:

let the numbers be x and y,then

x+y=18

x=18-y

also xy=-63

(18-y)y=-63

18y-y²=-63

y²-18y-63=0

y²-21y+3y-63=0

y(y-21)+3(y-21)=0

(y-21)(y+3)=0

y=21,-3

when y=21

x=18-21=-3

when y=-3

x=18-(-3)=18+3=21

so numbers are -3 and 21.

Parallelogram JKLM shown below is going to be rotated 270° clockwise to create J'K'L'M'. Which rule describes this transformation? K M F. (x, y) = (-y, x)
G. (x, y) = (-x. -Y)
H. (x, y) = (y, -x)
J. (x,y) → (-x, y) c​

Answers

Answer:

F. (x, y) = (-y, x)

Step-by-step explanation:

270º clockwise transformation:

The 270° clockwise transformation of a point (x,y) is:

(x,y) -> (-y,x)

Thus, as we just apply the rule in this conceptual question, the correct answer is given by:

F. (x, y) = (-y, x)

2. Which sequence of transformations takes the graph of y = k(x) to the graph of
y=-k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of
B. Translate 1 to the left, scale vertically by , then reflect over the x-axis.
C. Translate left by , then translate up 1.
D. Scale vertically by z, reflect over the y-axis, then translate up 1.

Answers

Answer:

A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1

Step-by-step explanation:

Initially:

We have the function [tex]y = k(x)[/tex]

k(x + 1)

To translate a function k(x) a units to the left, we find k(x + a).

Thus, k(x+1) is the translation of k(x) 1 unit to the left.

-k(x+1)

Multiplying a function by a negative constant is the same as reflecting it over the x-axis, and then scaling it vertically by a factor of the constant.

Thus:

The answer is given by option A:

A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1

Which interval is the graph of the parent absolute vale function f(x)=|x| decreasing

Answers

Answer:

(-∞,0)

Step-by-step explanation:

The graph of ƒ(x) = |x| is below.

The function is decreasing  on (-∞,0) .

A is wrong. The function both decreases and increases on (-∞,∞).

C is wrong. The function is decreasing on (-6,0), but that is only a portion of the interval.

D is wrong. the function is increasing on (o,∞)

I WILL GIVE YOU BRAINLIEST AND THIS ANSWER IS WORTH 30 POINTS!

1. |18-x|, if x<18.
2.|x-5|,if x<5
3. |x-18|, if x<18

Answers

Answer: the answer is  |x-5,if x<5|

Step-by-step explanation:

how do i do this? i don’t know how

Answers

The 3 inside angles of a triangle need to equal 180 degrees.

Add the 3 together to equal 180:

X + 2x + x+ 14 = 180

Combine like terms:

4x + 14 = 180

Subtract 14 from both sides:

4x = 166

Divide both sides by 4

X = 41.5

Answer:

Fraction form: x = 83/2

Decimal form: x = 41.5

Step-by-step explanation:

The 3 angles inside the triangle will always add up to 180 degrees.

So that gives us the equation:

x + 14 + x + 2x = 180

Combine like terms:

4x + 14 = 180

Subtract on both sides:

4x = 166

Divide:

41.5

Find the surface area of the rectangular prism

Answers

I believe it would be 72cm^2

3.(-48)÷ 48=_____ class 7th Chapter integer​

Answers

Answer:

3. (-48) devide 48 = -1 class 7th Chapter integer

The answer is : -1

# GOOD LUCK

Find the slope mathematics

Answers

i believe the slope is m = 12.

explanation:

the slope intercept form is y = mx+b, where m is the slope and b is the y-intercept.

How much paint will you need to paint all sides of the box shown below? show work and use volume or surface area formula.

Answers

Answer: 100

Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.

PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED

Answers

Answer:

- 13

Step-by-step explanation:

[tex]log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13[/tex]

Yea the answer is -13 I just took the test

Consider that x = −5 and y = −4. Which statement is true about x + y?

Question 17 options:

The sum of x and y is a rational number.


The sum of x and y is an imaginary number.


The sum of x and y is an irrational number.


The sum of x and y is neither rational nor irrational.

Answers

Answer:

The sum of x and y is a rational number.

Step-by-step explanation:

-5 + -4 = -9

-9 is a rational number

Solve the following system algebraically.
y = x2 +x
y = -x - 1


A) (-2,3)
B) (-1,0)
C) (0,0)
D) (-5,2)

Answers

Answer:

B

Step-by-step explanation:

-x - 1 = x^2 + x

x^2 + 2x + 1 = 0

(x+1)(x+1) = 0

x = -1 (double soution)

y = 1-1 =

y =0

(-1,0) = double solution

If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude of his total displacement, in kilometers? Find the solution by drawing a diagram. km

Answers

Answer:

108.75km

Step-by-step explanation:

please find attached the diagram

total displacement can be determined by using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

length of x =

20² + 40²

= 400 + 1600

2000

square root of 2000

= 44.72km

length of y

40² + 50²

1600 + 2500 = 4100

square root of 4100

64.03km

total displacement = 44.72 + 64.03 = 108.75

Find the common ratio of the geometrie sequence 6, 24, 96,

Answers

Answer:

4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

24/6 = 4

Check by taking the third term and dividing by the second term

96/24 = 4

The common ratio is 4

x = 15, x = 5; (0.75)

Answers

Answer:

12

Step-by-step explanation:

12 is 75 of 15 %^%^%^%^^^___<<<7<

Have a nice day ..........
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