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What is the value of e to the power of (2x) when e to the power of x equals 2?
The power law of indices says: (x^a)^b = x^(ab) = x^(ba) = (x^b)^a → e^(2x) = (e^x)² but e^x = 2 → e^(2x) = (e^x)² = 2² = 4
Can you solve the differential equation dy over dx equals y squared over e to the 2x power?
-2y square exp power -2x-1
Solve e to the power x equals x to the power 3 algebraically?
ex = x3 This has two solutions: x = 4.5364... and x = 1.85718... Plot the graph of each and you can see the intersections.
Integral of e to the power of -x?
integral of e to the power -x is -e to the power -x
Why was the calculus student confused about y equals ex and the derivative of y equals ex?
Because the derivative of e^x is e^x (the original function back again). This is the only function that has this behavior.
Find an expression for power that involves only current and voltage?
That is the basic one. P=I*E. Power in watts (P) equals current flow in amps (I) times the potential voltage (E) in volts.
How do you calculate DC power if voltage and currents are given?
P = E * I Power (watts) equals voltage (E) times current (I)
What is the real power if E rms equals 100 V equals 2 A and the circuit has a power factor of 0.8?
Real power = voltage x current x power factor.
What is x if e to the x power equals xto the 2 power?
Very close to -0.70348
Why is it that e to the power of i pi equals -1?
Because Euler proved it! (No, I can't!)
What is R equals Be to the power -kt where are equals 57 B equals 65 and t equals 5?
R = 65*e-5k = 65/(0.006738)k
E n is an even-number function Find E 7 when E n equals 2n?
14
How is E equals mc2 used today?
E is energy and MC2 is matter used to the second power... now you solve it
What is the smallest number such that tan e to power x equals 1?
When x = 3.806663, tan(e^x) = 1.
What is the square root of e when x over y equals various or variable may be known as 2x minus y to the power of e?
matter equels y to the power x plus e
In the ohm's law formula E times I equals P the E stands for electromotive force and the P stands for power What does the I stand for?
If: E*I = P Then: I = P/E
What is an expression for current that involves only power and voltage?
Yes. I = P/E which says current (I) equals power (P) divided by voltage (E). We normally see PIE, which is P=I x E or power equals current times voltage. If we divide both sides by E, we'll isolate I and express it in terms of P and E, as shown. The "PIE" thing is a nemonic (memory aid) to help you recall the formula.
