What is e raised to the i * pi power?
142343
As the responses above show, the answer is -1.  However, this implies two remarkable results.\n\nResult #1 is that e^i*n*pi is equal to -1 where n is any odd number.  The reason for this is as follows:\nFrom Eulers identity (mentioned above) we know that \ne^i*x  = cos(x) + i*sin(x)  \nso, as a result\ne^i*n*pi = cos(n*pi) + i*sin(n*pi)\nbut note that when n is an odd number\ncos(n*pi) is always -1    and\nsin(n*pi) is always 0.\nso the sum is always -1.\n\nResult #2 is that we can rewrite e^i*pi = -1 as\ne^i*pi + 1 = 0\n\nThis gives us e, i, pi, 1 and 0, five of the most fundamental numbers of mathematics, in one tidy pakage!\n\nBeautiful indeed!
388634
Inductive reactance can be calculated using this formula: XL = 2πfL\n\nGood Luck
763289
You need to post some details - then I can post an answer...\n\nIn general, P = V*I = V^2/Z\nso calculate the complex impedance Z (= R+jX)\nthen take the real component of the complex power.
271790
Here's the value of pi to 50,000 places:\nhttp://www.ballandclaw.com/upi/pi.50000.html\n\nAnd to 10 places: 3.1415926535
179378
All you do is take the natural logarithm (ln) of both sides.\nBecause the ln of e to any power is just that power it becomes this:\nln (e^-x) = ln(6) \nThe ln sort of "cancels out" the e, leaving you with the power so...\n-x = ln(6)\nMultiple both sides by negative 1 and you're done, unless you need to approximate ln(6).
732893
we know that for power, P=IV. we also know that whatever power goes into the transformer comes out of the transformer(conservation of energy). this means that V is inversely proportional to I. or I is inversely proportional to V.\n\nif you already know how much V was stepped up, then just step down the I by the same ratio. for eg, if 110V 10A was transformed to 220V, then the step up ratio is 2. therefore current is stepped down by 2. so current will be 5. try equating 110x10 with 220x5, it is constant.\n\nall of this assumes that the transformer is 100% efficient. if there are losses due to heat, then you multiply the exit current by the efficiency factor. eg, if the trans is said to be 80% effiecient, then the actual exit current would not be 5A but 4A. voltage is not affected by effiency issues.\n\nby the way transformers only work with AC, the guy who mentioned direct currents is thinking of current rectifer not transformer.
1060628
simple find the integral of pi*(e^(-x^2))^2 from a=0 and b=2 since as x goes to infiniety is goes to zero but it is very close to zero when x=2 you can find this by graphing f(x) \nanswer should be 0.9188 good luck!
108399
use binomial theorem, it can be applied to any power.if you don't know this theorem, i'll send it to you.
587235
E = energy, M = mass, C = the speed of light\nPi = 3.14159265353589793238462643383279502884197169399375\nSo much for the numbers as there are many more, Pi enables the identification of all that was and ever will be. It is an accountants and mathematicians tool.\nIt is also a noun in that it is the Greek translation of the Egyptian Hieroglyph which describes the Crystal Magnetite. Magnetite is a double pyramid, isometric. Play with the crystal in the palm of your hand, you can feel the energy that powers the soul.\nPhysically it is '1' unit. It sides number eight (8) the symbol for infinity. All sides form a triangle, the mark of the Trinity. The degrees of the angle are 60 and 3 - 60s' are 180 degrees. Two pyramids faces North and South encompass 360 degrees which is full circle, another symbol of infinity. Four faces North and four faces South with a base of a square. Pi X the Radius squared = the circumference. Geometric it is the triangle the square and the circle. The Triangle and the square are recognizable but the circle is not. It is the mind that must fill in the void. E = R I is always presented in the pyramid. E = Voltage, R = resistance & I = amppreage.\nNo electrical device can exist without one of the three. Magnets are a electrical energy source, Loadstone is the dust of magnetite. Magnetite is likewise greater than Uranium as a power source in that it is not harmful to our well being and the world in which we inhabit. It is in fact what the Universe is, and that is Energy (electrical), & Gravity. The flow of the magnetic wave is seen in the flux between the north and the south and it exist through the mechanism of the helix; as in DNA spiral. \nYes, Pi = infinity is Heaven. It is one third antimatter. Antimatter, It is the Resistance of the Formula E=RI. Alternating current is the Antichrist. It is God and it is not Religion. God is a three letter word it is the Trinity. GOD is everywhere, it is in your blood and all that is you. Fe3, O4 atomic wt. 144.24, All the numbers have multipole meanings. It is a wiseman who understands.
1181156
It looks like that first 1 should be an i. In this case,\ni^z=exp(i*pi/2*z),\nwhere I am using the principal branch of the logarithm to define the exponential.\nThen the derivative will be \n(i*pi/2)*exp(i*pi/2*z)=\npi/2*i^(z+1)\n\nEasy.
20408
Impossible to answer.  Pi is an irrational number meaning that the numbers after the decimal will continue until infinity.  While supercomputers can give the number to "upteen" decimal places, we can never know the last decimal place.
249445
The constant pi times the radius squared
776144
Pi is irrational number. Super computers are used to calcluate Pi upto more and more digits. You can find more details in
806633
π^40=76912142205157127257.265187923789\nπ^40=7.6912142205157127257265187923789e+19
618692
the correct option is e \n the value of i radian is 180/pi = 57.3248 ( if pi is 3.14)
575490
I- + 2e- -------> I2\n\n4P + 3e-  -------------> P4\n\nthere ya go :)
850103
A=P*e^rt\n=500*e^.05*10\n=500e^1/2\n=500*1.64872\n=824.36$