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Find the equation of the tangent to the curve y = (5x+4)/(3x-8) at the point (2, -7).

Firstly, we need to find the gradient at this point on the curve as the tangent will have the same gradient. So to find the gradient of the curve or in other words, dy/dx, we differentiate the equation. T...

Answered by Manika S. • Maths tutor

3641 Views

A ball is fired from a cannon at 20m/s at an angle of 56degrees to the horizontal. Calculate the horizontal distance the ball travels as well as its maximum height reached.

This is a typical mechanics question in an AS/A-level exam and uses the principles of SUVAT and projection.

We can try to calculate the maximum height reached first using the veritical compon...

Answered by Aaron F. • Maths tutor

5553 Views

Expand and simplify (6x+9)(4x+7)

Using the "crabs claw" or "parrot beak" method, draw lines linking the two brackets (demonstrated on whiteboard)

6x x 4x = 24x²

JG
Answered by Jenna G. • Maths tutor
4672 Views

How do you work out compound interest?

Check whether student can calculate simple interest, e.g. How much money would you have after 1 year if you have £50 and get 3% interest? (Ans: 50*1.03 = 51.50)
Once this is un...

Answered by Joanna W. • Maths tutor

3545 Views

Factorise fully the following: 12x^3 + 3x^2 + 15x

To factorise an equation entirely it is necessary to think of the commonality between all terms. In this case, not only 'x' is common in all the parts of the equation, but also '3'. Knowing this informati...

Answered by Helena B. • Maths tutor

4208 Views