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What should we listen out for in the unheard piece in the exam?

For the unheard essay question, you must try and repeat the unknown piece to one of your set works. The question will already outline certain categories to listen out for such as melody, harmony and textu...

FC
Answered by Francesca C. Music tutor
3449 Views

Let f(x) = 2x^3 − kx^2 + 2x − k. For what values of the real number k does the graph y = f(x) have two distinct real stationary points? (MAT 2017 q1.A)

A point a is a stationary point if and only if f'(a) = 0.
Let's compute the derivative:
f'(x) = (2x^3 − kx^2 + 2x − k)' = 6x^2 - 2kx + 2.  (-k is a constant so it cancells out)
f'(x) = 0 i...

JG
Answered by Jan G. MAT tutor
5921 Views

Expand and simplify 3(x+4) - 2(4x+1)

3(x+4) - 2(4x+1)= 3x + 12 - 8x + 2= 3x - 8x + 12 - 2= -5x + 10

PP
Answered by Pioli P. Maths tutor
5280 Views

Craig weighs 74.2 kg, Connie weighs 67.8 kg, and Chloe weighs 69.4 kg. What is the range of their weight?

6.4 kg

PP
Answered by Pioli P. Maths tutor
3431 Views

What is the chain rule and how is it used?

The chain rule is used to find the derivative of an expression in the form h(f(x)) where you have a function in terms of a function of x for example:
h(f(x)) = 2(3x+1)^3 where f(x) = 3x+1
In or...

JB
Answered by Joseph B. Maths tutor
2907 Views

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