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What is the turning point on the curve f(x) = 2x^2 - 2x + 4

df/dx = 4x - 2 turning point when differential = 0 ==> 4x = 2 hence; x = 0.5 When x = 0.5 f(x) is equal to (substitute) 3.5 hence the turning point is at (0.5,3.5)
DT
Answered by David T. • Maths tutor
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An Island on a map is measured to be 4cm across. The scale of the map is 4cm to 500m. How long is the island in km?

The island is 2km. If the scale is 1cm:500m we need to multiply both left and right sides by 4 to get to the 4cm that was measured. This gets us 4cm: 2000m . We now need to convert 2000m to km which gives us...
DT
Answered by David T. • Maths tutor
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Why do ionic compounds have high melting and boiling points?

This is because of the strong attractive electrostatic forces holding the oppositely charged ions together and a large number of ionic bonds in the crystal lattice. These require a lot of thermal energy to o...
DT
Answered by David T. • Science tutor
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What is ionic and covalent bonding?

Ionic bonding occurs when a metal and non-metal react together. It involves the metal atom losing electrons from its outer shell to become a positive ion (as there are more positive protons in the nucleus, t...
SJ
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Explain Le Chatelier's Principle and the factors that affect the position of equilibrium

Le Chatelier's principle states that is there is a change in concentration, pressure or temperature, the equilibrium will move in order to counteract the change. Firstly temerature - in an reversible reactio...
SJ
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