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What is Mathematical Induction?

Mathematical induction is a type of direct proof, where you can prove sequences or series. A good example of this is that we can prove 1 + 3 + 5 + .... + (2n-1) = n^2. There are 4 steps: 1. Prove the first c...
AH
Answered by Ayesha H. • Maths tutor
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You have a cubiod of dimension 2.2m by 1.8m by 2.0m, you have a pole of length 3m. Will the pole fit into the cuboid?

The longest straight line within the cuboid is the diagonal from a corner to the corner diagonally from it (show diagram), call this D. So to find out whether the pole will fit, find this length, if it is lo...
GJ
Answered by Grace J. • Maths tutor
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You are given that f(x) = cx + d and that f(0) = -6 and f(2) = 10. Find the values of c and d.

f(x) = cx + d f(0) = c 0 + d = d = -6 => d = -6 f(2) = c 2 + d = c 2 + -6 = 10 => c 2 - 6 = 10 => c = (10 + 6) / 2 => c = 8
GJ
Answered by Grace J. • Maths tutor
7380 Views

Find the value of x in (4^5⋅x+32^2)⋅2^5=2^16⋅x

Find the value of x in (4 5 ⋅ x +32 2 )⋅2 5 =2 16 ⋅ x First we transform everything into powers of 2 as all the numbers involved in this equation are multiples of 2. || 4 5 = (2 2 ) 5 = 2 2*5 = 2 10 || 32 2 ...
LC
Answered by Luis C. • Maths tutor
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A ladder 5m long is leaning up against a wall. The foot of the ladder is 3m from the wall. How high up the wall does the ladder reach?

Think about which mathematical theorem you might want to use for this question (Pythagoras: a 2 + b 2 = c 2 ) Draw a diagram of the situation described, and write down the equation you think you should use. ...
JR
Answered by Josie R. • Maths tutor
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