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What does e raised to the i times pi equal?
-1. This is a result of Euler's formula.
How do you manually calculate i raised to the power of i?
by euler: i=ei(pi)/2 therifore ii = (ei(pi)/2)i=ei^2(pi)/2=e-(pi)/2 ~0.208
What is ten raised to the with power?
Using Euler's relation, we know that e^(i*n*pi) = cos(n*pi) + i*sin(n*pi) where n is an integer. We also know that we can rewrite 10 as e raised to a specific power, namely e^(ln(10)). So substituting this back into 10^i and then applying Euler's relation, we obtain 10^i = (e^(ln(10)))^i = (e^(i*ln(10))) = cos(ln(10)) + i*sin(ln(10)).
What is the antiderivative of x raised to the pi power?
x(pi+1)/(pi+1)
What is e plus pi plus pi plus pi plus e plus e plus e?
About 20.29791
What does e raised to the i times pi equal?
-1. This is a result of Euler's formula.
How do you manually calculate i raised to the power of i?
by euler: i=ei(pi)/2 therifore ii = (ei(pi)/2)i=ei^2(pi)/2=e-(pi)/2 ~0.208
What is an irrational number greater than 0?
'pi' and 'e' both fit that description.
What is ten raised to the with power?
Using Euler's relation, we know that e^(i*n*pi) = cos(n*pi) + i*sin(n*pi) where n is an integer. We also know that we can rewrite 10 as e raised to a specific power, namely e^(ln(10)). So substituting this back into 10^i and then applying Euler's relation, we obtain 10^i = (e^(ln(10)))^i = (e^(i*ln(10))) = cos(ln(10)) + i*sin(ln(10)).
What is the antiderivative of x raised to the pi power?
x(pi+1)/(pi+1)
What is an irrational number greater than 7?
For example: 7 + square root of 2 7 + square root of 3 7 + pi 7 + e 3 x pi 10 x e
What is e plus pi plus pi plus pi plus e plus e plus e?
About 20.29791
Why is Euler's formula important?
Euler's formula is important because it relates famous constants, such as pi, zero, Euler's number 'e', and an imaginary number 'i' in one equation. The formula is (e raised to the i times pi) plus 1 equals 0.
Why e raise to -t is greater than or equal to 0?
A positive number, raised to any power, is positive.
What do 8 9 and 11 have in common?
They are all:-- real-- rational-- integers-- greater than 'pi'-- greater than 'e'-- positive (greater than zero)-- less than 12-- factors of 792
Is e to the pi rational?
e^pi ~ 23.14069.............., not rational
How can you make rational of i power i?
It is NOT rational, but it IS real.Start with Euler's formula: e^ix = cos(x) + i*sin(x) for all x.When x = pi/2,e^(i*pi/2) = cos(pi/2) + i*sin(pi/2) = 0 + i*1 = ior i = e^(i*pi/2)Raising both sides to the power i givesi^i = e^[i*(i*pi/2)] = e^[i*i*pi/2]and since i*i = -1,i^i = e^(-pi/2) = 0.20788, approx.
