If you're not still convinced the function must cross the straight line, just study g (x) = f (x) + x. g is another function defined in a compact set and by Weierstrass's Theorem it assumes all of its …

White blood cells are the defense of your body against diseases. White blood cells(a.k.a leukocytes) are part of the immune system. They are usually produced in the bone marrow …

Solution: d/dx (e^x sqrtx) = e^x sqrtx + (e^x)/ (2sqrtx) Explanation: When differentiating a function which in and of itself is the product of two functions, it sometimes behooves us to use the …

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 …

Sep 30, 2017 · So basically, the domain is an idea of the x-values of the function and the range is an idea of the y-values of the function. Now, due to the absolute value signs, this function is …

dy/dx = (2x)/5 * 5 ( (x^2+4)/5)^4 = 2x ( (x^2+4)/5)^4 We can most easily do this via the Chain Rule. The Chain Rule states that, given a function composition f (g (x ...

In the second interval, the first is positive and the second is negative or zero and the function becomes: y=x+2+x+1rArry=2x+3 a segment. In the third both arguments are positive or zero …

The gradient of f (x)=1/sqrtx when x=1 is -1/2 what you are looking for is the instantaneous gradient at x=1. To do so, you must find the derivative of the function, and substitute the x=1 …

Feb 20, 2017 · We use different methods for different kinds of functions. The function you've asked about is a rational function and there is a cookbook for this kind of function. (Or a …

The problem states that the number of mosquitoes per cubic meter is a linear function of the temperature. If we take #M# to represent mosquitoes (in units of #1/m^3#) and #T# to …