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A ladder 6·8m long is leaning against a wall, as shown in the diagram. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall. Give your answer to a sensible degree of accuracy.

There's a lot of information here so we should start out by drawing up a diagram. From this we can see that we have a right-angled triangle, and we know two of the angles and want to work out a third. The...

Answered by Rohan S. • Maths tutor

4939 Views

Sketch the curve y = (2x-1)/(x+1) stating the equations of any asymptotes and coordinates of the intersection with the axis. As an extension, what standard transformations from C1 could you use on y=1/x to get this curve?

A good way to start with any of these questions is to guess what type of curve this is, and if that is too difficult then the next best thing is to find some points. In this case it is obvious that it is ...

Answered by Alex D. • Maths tutor

4947 Views

Write the number 0.0534 in standard form (1 mark)

5.34 x 10^-2

Answered by Christopher T. • Maths tutor

3690 Views

2x+y=18, x-y=6; Solve the simultaneous equations

2x+y =182) x-y =6(x-y=6) multiply by +22x-2y = 121) 2x+y = 182) 2x-2y=12 -subtract equation 2 from equation 10x-y=6 -Therefore -y=6 so y= -6Put value for y into either of the equation in order to fi...

Answered by Saskia W. • Maths tutor

5689 Views

Differentiate x^3 + 6x + 1

Though you are required to understand differentiating from first principles for the exam, questions such as this become quite straightforward once you know the trick.
To differentiate all you have to...

Answered by Myles J. • Maths tutor

3760 Views