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A ladder 6.8m long is leaning against a wall, the foot of the ladder is 1.5m from the wall, find the height that the ladder reaches up the wall.

Pythagorus' Theorem: A 2 + B 2 = C 2 Therefore... 1.5 2 + B 2 = 6.8 2 = 2.25 + B 2 = 46.24 B 2 = 46.24 - 2.25 = 43.99 SqR of 43.99 = 6.63m [The height the ladder reaches up the wall].
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Answered by Tom G. • Maths tutor
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integrate x^2 + ln(x)

x^3/3 + 1/x
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Answered by Beth M. • Maths tutor
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How do I complete the square

Take a look at the expression below: x 2 + 4x + 3 To complete the square you have to focus on the number before the x or the (x coefficient). In this case, this number is 4. To complete the square you take t...
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Answered by Anant M. • Maths tutor
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Statistics: What is the difference between a Binomial and Poisson distribution?

Binomial: A single trial has only 2 possible outcomes: success or failure A fixed number of trials, n Trials are independent The probability of success remains constant at each trial Mean: E(x) = np Var(x) =...
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Answered by Shivani S. • Maths tutor
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Integrate (cosx)^3

In order to integrate (cosx)^3, there is no given rule (by-parts, 'try' method, chain rule) which we can follow. We would need to split it into (cosx)^2 and cosx. Then use the identity: (sinx)^2 + (cosx)^2 =...
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Answered by Shivani S. • Maths tutor
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