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Describe the role of the serpent in the story of the Fall.

In the story of the Fall, the serpent is the creature which undermines God and goes against his wishes. The serpent persuades and tempts Eve to eat the forbidden fruit, and thus Eve goes against the one r...

ER
9056 Views

How does a vacuum flask keep a beverage warm for long periods? (6 Marks)

Heat is lost in the fluid through Conduction convection radiation and evaporation. The silvered surfaces reflect infrared rays back into the liquid keeping heat in the fluid reducing heat lost by radiatio...

LL
Answered by Lewis L. Physics tutor
13384 Views

The function f has domain (-∞, 0) and is defines as f(x) = (x^2 + 2)/(x^2 + 5) (here ^ is used to represent a power). Show that f'(x) < 0. What is the range of f?

First notice that f(x) = u/v. So f'(x) =[ v(u') - u(v')]/v2 (the Quotient rule). After working it out, we find f'(x) = 6x/(x2 + 5)2 (the steps can be shown on the whiteboa...

CC
Answered by Chris C. Maths tutor
2855 Views

Given that y = (1 + 3x^2)^(1/3) , use the chain rule to find dy/dx in terms of x.

Take u = 1+3x2 , this gives that y = u1/3 . By the chain rule we have that dy/dx = dy/du * du/dx. By differentiating y = u1/3 with respect to u giv...

JS
Answered by Jasmine S. Maths tutor
4827 Views

find the second degree equation that passes through the points: (0,1) (2,2) (1,0)

first of all we have to recognise the general form of the equation, similar to the equation of a line but we just have to add one more term due to the fact that it is a second degree equation: y=ax2<...

LG
Answered by Luca G. Maths tutor
3056 Views

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