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Examine the ways in which the ontological argument attempts to prove to the atheist that God exists.

We can answer this question by examining three key quotes about the Ontological Argument! 1) ‘ In his heart, the fool knows there is no God ' (Psalms 53) 2) '[God is] that than which nothing greater can be c...
WG
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How do you integrate ln(x) with respect to x?

This integral must be done using integration by parts. Therefore, we set u=ln(x) and dv=dx, which gives du=1/x and v=x. Then, using the integration by parts formula the integral now equals x*ln(x)-int[dx]. T...
OH
Answered by Oliver H. • Maths tutor
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The equation 2x^2 + 2kx + (k + 2) = 0, where k is a constant, has two distinct real roots. Show that k satisfies k^2 – 2k – 4 > 0

Two distinct real roots means that we can use b^2-4ac>0 relationship for any ax^2+bx+c equation. Apply the above gives, 4k^2 - 4 2 (k+2)>0 Simplifying gives, k^2 - 2k -4 >0
AT
Answered by Andreas T. • Maths tutor
12906 Views

How does the mechanism for electrophilic addition work?

First we must consider what an elecrophile is. An electrophile is a molecule or ion which is attracted to (and accepts electrons from) electron dense regions in other molecules, because it is positively char...
AR
10311 Views

How to find and classify stationary points (maximum point, minimum point or turning points) of curve.

To find the stationary points of a function we must first differentiate the function. The derivative tells us what the gradient of the function is at a given point along the curve. Therefore, should we find ...
CJ
Answered by Callum J. • Maths tutor
19189 Views