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A cuboid has dimensions: width = x+1, length = 2x-2, height = x+2. Work out the volume of this cuboid. Give your answer in terms of x.

Volume of cuboid = width x length x heightV = (x + 1)(2x - 2)(x + 2)
For simplicity, multiply the first 2 sets of brackets first. Then multiply the result by the third set of brackets.Note: for multi...

SA
Answered by Sam A. Maths tutor
5718 Views

2017 Edexcel Summer 2017 Q18) 16^1/5 × 2^x = 8^3/4 Work out the exact value of x

As this is a calculator paper, it is acceptable to use one. The first step to calculating the exact value of x is to make it the subject of the equation (i.e. moving it to its own side)2^x = (8^3/4)/(16^1...

RP
Answered by Rory P. Maths tutor
16947 Views

What is 125^(-2/3)?

Firstly, the negative power sign flips the number the 1/125.The 1/3 part of the power means find the cubic (3rd) root. 1/5Finally the 2 of the power means square the number. 1/25 is therefore the final an...

ER
Answered by Emily R. Maths tutor
3915 Views

What is the gradient of the curve y = 2x^3 at the point (2,2)?

Firstky differentiate to gain an equation for the gradient.Differentiating gives:dy/dx = 6x2Insert x = 2 into the above equation to find the gradient at that particular point of the curve.When ...

ER
Answered by Emily R. Maths tutor
7530 Views

Show that the curve y =f(x) has exactly two turning points, where f(x)= x^3 - 3x^2 - 24x - 28

This question is about turning points of a curve, these occur when the gradient of a line is zero. In its current form, the equation of the curve tells us nothing about the gradient of the curve; it must ...

JA
Answered by Joshua A. Maths tutor
4749 Views

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