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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?
The integral of dV/V is the natural logarithm of the absolute value of V, denoted as ln|V|, plus a constant of integration, often denoted as +C. This integral arises in calculus when integrating functions involving inverse relationships, such as exponential growth or decay. The result represents the accumulation of small changes in V over a given interval, providing a mathematical tool to analyze and model various phenomena in science and engineering.
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
