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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 Madrid a...
CS
Answered by Callum S. • Maths tutor
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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 x 2 . We call such an expression a ‘function of a function’. We could id...
DM
Answered by Diego M. • Maths tutor
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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
AT
Answered by Alex T. • Maths tutor
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Differentiate and factorise y = x^2(3x + 1)

Product rule: dy/dx = uv' + u'v dy/dx = 2x(3x + 1) + x^2(3) dy/dx = 2x(3x + 1) +3x^2 dy/dx = 6x^2 + 2x + 3x^2 dy/dx = 9x^2 + 2x dy/dx = x(9x + 2)
EJ
Answered by Ella J. • Maths tutor
4008 Views

How do you prove two straight lines intersect?

There are two ways to prove they intercept (you can choose whichever one you prefer). Say we have two straight lines, for example: r 1 = 3 i + 4 j - 5 k + t ( i - 2 j + 2 k ) => r 1 = (3 + t) i + (4 – 2t)...
NM
Answered by Nicholas M. • Maths tutor
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