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find the coordinates of the turning points of the curve y = 2x^4-4x^3+3, and determine the nature of these points

To begin, we must first use the fact that turning points of a graph occur at points where the gradient is equal to zero, in other words, points where dy/dx =0. Differentiating the equation with and setting t...
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Answered by Jenny N. • Maths tutor
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The equation kx^2 + 4x + (5 – k) = 0, where k is a constant, has 2 different real solutions for x. Show that k satisfies k^2-5k+4>0.

This questions is a proof type question, which means that you need to get to a specific formula. Usually, these questions give you clues in order to prove it. In this case it tells you that the equation has ...
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Answered by Alin G. • Maths tutor
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how do you know when to use a direct or an indirect object pronoun?

Direct object pronouns: me, te, le, la, nous, vous, les me, you, him, her, us, you (pl), themIndirect object pronouns: me, te, lui, nous, vous, leur to me, to you, to him/her, to us, to you (pl), to themObje...
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Answered by Lauren S. • French tutor
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Explain the trend in boiling points for the group 6 hydrides (O,S,Se,Te). Diagram would be included.

There are 2 factors that affect this problem. (1) The hydrogen bonding ability of H 2 O which increases the boiling point.The partial charges, induced by the higher electronegativity of oxygen, mean that the...
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Answered by Jack R. • Chemistry tutor
35864 Views

What are two potential macroeconomic effects of a rise in interest rate? (8)

Firstly, a rise in interest rate could negatively impact investment within an economy. This is because the interest rate would increase the cost of borrowing and thus deter firms from taking out loans to fin...
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Answered by Rhys E. • Economics tutor
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