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What is a derivative and how do we calculate it from first principles?

A derivative, in essence, is the gradient of a function at a point, usually denoted by dy/dx, or f'(x). It essentially means the rate of change of y with respect to x. As many functions are complex, we ca...

Answered by Tom M. Maths tutor
2132 Views

v^2=u^2+2as, make "a" the subject of the formula.

v2 =u2+2asv2-u2=2asa=(v2-u2)/2s as required

Answered by Matthew L. Maths tutor
13986 Views

The probability of getting heads on a biased coin is 0.8. You flip the coin twice. What is the probability of getting one each of heads and tails?

Step 1: Calculate probability of getting tails by subtracting 1-0.8 = 0.2.Step 2: Calculate probability of getting heads then tails by multiplying 0.80.2 = 0.16.Step 3: Calculate probability of gettin...

Answered by Nadya R. Maths tutor
8278 Views

How do you multiply two brackets with two terms in them? For example (2x-3)(x+4)

We use the FOIL method to do this, where FOIL stands for First, Outside, Inside, Last. So in this example we multiply the first term of ...

Answered by Oluwatose A. Maths tutor
2756 Views

Expand and simplify (n + 2)^3 − n^3.

Expand and simplify (+ 2)3 − n3.
Write out the brackets in full:(+ 2)(+ 2)(+ 2) − n3
Use F.O.I.L. (...

Answered by Dominic C. Maths tutor
4219 Views

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