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How do you do exponential growth or decay?
That all depends on the problem given!A general form of the exponential growth/decay is:y = ab^x.If we have an exponential growth, b = 1 + rOtherwise, b = 1 - r.In the second version, the exponential growth is y = Ae^(kt) while the exponential decay is y = Ae^(-kt)
Does Exponential decay occurs if the base of an exponential function is a positive integer?
Yes.
What is the opposite of the word increment?
The process of decreasing in number, size, quantity, or extent.Decrease, loss, decrement, reduction, diminution, decline, decay, etc. Decrement.
What is the integral of dV by V?
Well, sweetheart, the integral of dV/V is simply ln|V| + C, where C is the constant of integration. So, in other words, the integral of dV/V is the natural logarithm of the absolute value of V, plus some boring constant. Math can be a real snoozefest, but hey, at least now you know the answer!
The half-life of uranium-232 is 74 years In how many years will one third of the present quantity decay?
Use Q = Q0e-kt, where Q0 is the initial amount of uranium and k is the factor of proportionality. Since we know that Q = 1/2 Q0 when t = 74, we have 1/2Q0 = Q0e-k x 74; 1/2 = e -74k; In 1/2 = -74k; k = 0.009366853
