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Questions and Videos on Logistic Growth, within Biology

We can't, because that is not the limit. If you intended to write lim_(x->10) 3-(4x)/5 = -5, then see explanation below. One of the first steps in checking the limit of a function at an x-value is …

The outside function is #cos x#, which has a derivative of #-sin x# The inside function is #sin 2x#. For the inside function, the chain rule can be used again. The outside is #sin x# and the inside …

The numerator is positive when: 2x-7>0 x>7/2 x>3.5 So the function is positive when x>3.5. Similarly, it can be proved that it is negative when x<3.5 Therefore, there function f (x) has a …

This is probably debatable. Expressions are somewhat implicit because you need to be told what to do with them. Functions on the other hand are very explicit; it tells you what it needs and it …

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 …

When you graph this, the graph of the function will be symmetric in respect to the y- axis. If f (x)!=f (-x), you could check whether f (-x) equals -f (x). If it does, than the function is odd. If it …

See the sign chart below We need a^2-b^2= (a+b) (a-b) Let's rewrite the function by factorising (x^2-1)/ (2-3x)= ( (x+1) (x-1))/ (2-3x) Let f (x)= ( (x+1) (x-1))/ (2 ...

"R": {y inRR | y = -5} The range of a function in general, is a set of all possible values as the y-coordinate. By graphing (or simply looking) y=-5, we see that y is only -5, no matter the x …