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What are the arguments against the existence of Free Will?

Two schools of thought dispute the existence of Free Will: the soft determinists and the hard determinists. Soft Determinists believe in partial Free Will. Kant says that we can't control the emotions we ...

JP
Answered by Jay P. Philosophy tutor
1546 Views

What is the difference between EMF and Voltage?

EMF stands for the Electromotive Force and it can be defined in a few ways:

1. It's the potential across the terminal ends of a cell.

2. Or...

FG
Answered by Francisco G. Physics tutor
1767 Views

a) Let u=(2,3,-1) and w=(3,-1,p). Given that u is perpendicular to w, find the value of p. b)Let v=(1,q,5). Given that modulus v = sqrt(42), find the possible values of q.

a) is perpendicular to w, so =0. This means that 23 + 3(-1) + (-1)*p = 0, so 6-3-p=0, hence p=3. b) The magnitude of v ...

CR
Answered by Cristiana R. Maths tutor
4002 Views

a) Given f(x) = ln(x), use the Mean Value Theorem to show that for 0 <a <b, (b-a)/b < ln(b/a) < (b-a)/a. b)Hence show that ln(1.2) lies between 1/m and 1/n, with m, n consecutive integers to be determined.

a) f(x)=ln(x), so f'(x)=1/x. By MVT, f'(c) = (f(b)-f(a))/(b-a) = (ln b - ln a)/(b-a) = ln(b/a)/(b-a), where c lies between a and b.  Now, since 1/x is a decreasing function, and a < c < b, we get 1/...

CR
8231 Views

How does the pKa level correlate with acid strength?

The pKa is a way of measuring the strength of an acid in water solution. An acid, in this context, is a molecule that releases a proton (H+) when in water. The more readily this molecule releases a proton...

RS
9192 Views

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