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Maths
A Level

3(a+4)=ac+5f. Rearrange to make a the subject.

3(a+4)=ac+5f

3a+12=ac+5f

3a-ac=5f-12

a(3-c)=5f-12

a= (5f-12)/(3-c)

Answered by Rumana R. Maths tutor
3882 Views

1. The curve C has equation y = 3x^4 – 8x^3 – 3 (a) Find (i) d d y x (ii) d d 2 y x 2 (3) (b) Verify that C has a stationary point when x = 2 (2) (c) Determine the nature of this stationary point, giving a reason for your answer.

To differentiate use formula.

multiply factor by power then minus one from power (where x is invloved)

dy/dx = 12x^3 - 24x^2

d^2y/dx^2 = 36x^2 - 48x (this is just a further differenti...

Answered by Elysa I. Maths tutor
14433 Views

What is the difference between mutually exclusive and indepedent events?

Let's say that we have two events and we'll call them event A and event B. If these events were mutually exclusive then these events would not be able to occur at the same time. For example, if Real Madri...

Answered by Callum S. Maths tutor
5184 Views

What is the chain rule?

A special rule, the chain rule, exists for differentiating a function of another function (finding dy/dx).

Consider the expression cos x2 . We call such an expression a ‘function of a fu...

Answered by Diego M. Maths tutor
2830 Views

Express √75 in the form of n√3 , where n is an integer. Using this information, solve the following equation: x√48 = √75 + 3√3 (4 marks)

√75 = 5√3, therefore 

x√48 = √75 + 3√3

x√48 = 5√3 + 3√3

x(√16 x √3) = 5√3 + 3√3

4x√3 = 5√3 + 3√3

4x√3 = (5 + 3)√3

4x√3 = 8√3

x√3 = 2√3

x = 2

Answered by Alex T. Maths tutor
7591 Views

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