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Maths
A Level

Express (1 + 4 * 7^0.5)/(5 + 2 * 7^0.5) in the form m + n * 7^0.5

Need to make the bottom of the fraction an integer so we can simplify it. The easiest way to do that is the difference of 2 squares so multiply the whole fraction by (5 - 270.5). This gives...

Answered by Ella C. Maths tutor
2722 Views

A trolley of negilible mass on horizontal tracks is at rest. A person of mass 50kg is standing on the trolley with a bag of mass 10kg. The person throws the bag off the trolley horizontally with a velocity of 3m/s. Calculate the velocity of the man.

Establish what information you have been given in the question (mass of person=50kg, mass of bag=10kg, velocity of bag=3m/s, start velocity of both=0m/s). Use the equation momentum=mv and the principle of...

Answered by Ella C. Maths tutor
2746 Views

y = x^2 − 2*x − 24*sqrt(x) - i) find dy/dx ii) find d^2y/dx^2

Solved by differentiation with respect to x,i) dy/dx = 2x - 2 - 12x^(-1/2)ii) d^2y/dx^2 = 2 + 6*x^(-3/2)

Answered by Duncan G. Maths tutor
5114 Views

Complete the indefinite integral of 3x^2 + 4x -2/(x^2)

for each of the terms in x, the power to which x is raised increases by 1, and then each term is divided by the new power. A constant of integration is introduced because we were not asked to integrate be...

Answered by Ed C. Maths tutor
3394 Views

How do you find the point of intersection of two vector lines?

Each vector line can be simplified into three separate equations in terms of the lines parameter and one of 'x,y and z.' This process can be done for both lines, creating six equations in total. By settin...

Answered by Joe P. Maths tutor
13158 Views

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