Questions and Videos on Logistic Growth, within Biology

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Explanation: In a non-piece-wise function like this one, a function is discontinuous when the #f (x)# is undefined for a given value of #x#.

The slope of a function's tangent line at a point is given by the function's derivative. So, we need to find the derivative of √x − 5 = (x −5)1 2. Note that d dx x1 2 = 1 2 x− 1 2. So, the chain rule states that if …

The end behavior is that the function tends toward infinity (grows without bound) as x goes to positive and negative infinity: lim_(x to oo)f(x) = oo and lim_(x to -oo)f(x) = oo. f(x) is an even function with …

Please see below. I don't understand the first question "How does the squeeze theorem work"? I don't know what kind of answer you're looking for. How is it used? It is used by showing that some function …

Hence, our exponential function is #y=0.25* (1.0485)^t# Based on this model, we can estimate the values of the hourly minimum wage for the other years, by substituting the values of #t# in the …

Calculate the inverse function. y=x^3-18 y+18=x^3 x=root (3) (y+18) So the inverse function is: g (x)=root (3) (x+18) b. Calculate the derrivative g' (x)=1/ (3*root (3) ( (x+18)^2)) c. Substitute x=9 g' …

This agrees algebraically if we are interested in minimizing the residual difference, usually using sum of squared loss function eg #f_beta= (y-xbeta)^2# #fprime_beta=-2x (y-xbeta)=0# #=2x^2beta=2xy# …

When differentiating a function which in and of itself is the product of two functions, it sometimes behooves us to use the product rule.