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Samuel had 3 piles of coins, I, II and III. Altogether there was 72p. Pile II had twice as much as pile I. Pile III had three times as much as pile II. How much money was in Pile III?

First let coins in pile I equal x. Then we the question tells us II has twice pile A so we can now write this as 2x. Finally, we can write pile III as 6x - reason is that III has three times pile II which is...
SR
Answered by Syed R. • Maths tutor
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A) Differentiate ln(x) b) integrate ln(x)

A) y=ln(x) E y = x E y (dy/dx ) = 1 E ln(x) (dy/dx) = 1 X(dy/dx) = 1 Dy/dx = 1/xb) y = 1 * ln(x) V = ln(x) U= x dv/dx =1/x Du/dx = 1xln(x) - (integral) x * (1/x)xln(x) - (integral) 1= xln(x) -x + C
SR
Answered by Stanley R. • Maths tutor
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a)Work out the total surface area of this cuboid (3cm x 4cm x 2cm). b) The cuboid has density 7g/cm^3, what is the mass of the cuboid?

a) The surface area of a 3 dimensional shape is the sum total of the area of each side of the shape. This cuboid is 3x4x2, and so it has 2 sides with area 3x4 = 12, 2 sides with area 4x2 = 8, and 2 sides wit...
LJ
Answered by Luke J. • Maths tutor
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Factorise fully the following expression: 2a^(2)b + 6ab^(2)

Factorise fully the following expression: 2a 2 b + 6ab 2 First, find the common terms by treating, 2a 2 b and 6ab 2 as separate objects. We see common terms of... 2, a, and b We notice that 2ab a = 2a 2 b an...
MW
Answered by Michael W. • Maths tutor
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(Follow on from previous question) A curve has equation y= x^2+3x+2. Use your previous results to i) find the vertex of the curve ii) find the equation of the line of symmetry of the curve

i) y = x 2 +3x+2 = (x+3/2) 2 -1/4Solution for (x+3/2) = 0 is x coordinate, which is x = -3/2Solution for y value is the additional constant, which is y = -1/4Therefore the vertex (minimum point) is (-3/2,-1/...
RI
Answered by Ross I. • Maths tutor
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