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nordsb [41]
3 years ago
8

A function is graphed

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0
B . I say this because drops down and says the same 4-5 .
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Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

3 0
4 years ago
Find the slope and y intercept 2x+3y=1,470
oksano4ka [1.4K]
First we need to put it in slope intercept form (solve for y). Then we get tex]y= -\frac{2}{3} x+490[/tex]. So the slope is-2/3 and the y intercept is 490.
8 0
3 years ago
Read 2 more answers
Use the zero product property to solve the equation. (4k+5)(k+7)=0
Maru [420]
The zero product property tells us that if we have
xy=0, then we can assume that x and y both equal 0

so

(4k+5)(k+7)=0
we can assume that 4k+5=0 and k+7=0
so

4k+5=0
minus 5 both sides
4k=-5
divide both sides by 4
k=-5/4

k+7=0
minus 7 both sides
k=-7


k=-5/4 or -7
7 0
3 years ago
A (-5,3)
stellarik [79]

Answer:

- 3/4

Step-by-step explanation:

m = difference of y / difference of x = (3 - (-3)) / (-5 -3) = 6 / -8 = - 3 / 4

6 0
3 years ago
Based on the results shown in the table, how many white marbles would one expect to draw in a total of 50 draws? (hint:set up a
Dovator [93]
The answer to your question is 10
8 0
3 years ago
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