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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 ...

LJ
Answered by Luke J. Maths tutor
7022 Views

Factorise fully the following expression: 2a^(2)b + 6ab^(2)

Factorise fully the following expression: 2a2b + 6ab2
First, find the common terms by treating, 2a2b and 6ab2 as separate objects.
We see common term...

MW
Answered by Michael W. Maths tutor
6006 Views

(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 = x2+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 (minimu...

RI
Answered by Ross I. Maths tutor
3086 Views

Express x^2+3x+2 in the form (x+p)^2+q, where p and q are rational numbers.

 x2+3x+2 = (x+p)2+q (x+3/2)2 = x2+3x+9/4 x2+3x+2 = (x+3/2)2-9/4+2 x2+3x+2 = (x+3/2)2-1/4

RI
Answered by Ross I. Maths tutor
7612 Views

How can I remember how to differentiate and integrate cos and sin?

I find it is best whenever you open your maths paper to draw this diagram to help you remember: Sin(X) -> cos(X)-> -sin(X) -> -cos(X)----->
{Drawn in a circle on the board}
To diff...

HM
Answered by Hannah M. Maths tutor
5500 Views

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