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Maths
A Level

A small stone is projected vertically upwards from a point O with a speed of 19.6m/s. Modelling the stone as a particle moving freely under gravity, find the length of time for which the stone is more than 14.7 m above O

We want to find out the time during which the stone is above a certain point. As this stone is thrown upwards we know that the first time it passes this point it will be on its way up and when it passes t...

AG
Answered by Aaron G. Maths tutor
13412 Views

How do you differentiate the curve y = 4x^2 + 7x + 1? And how do you find the gradient of this curve?

To begin with, this question requires you to differentiate the curve y = 4x2 + 7x +1 in order to find the gradient. To differentiate this function y in respect to x, we need to reduce the power...

KS
Answered by Katie S. Maths tutor
3704 Views

A curve has the equation y=3x^2-2x+7, find the gradient of the line at the point (6,3)

dy/dx = 34

BC
Answered by Ben C. Maths tutor
4840 Views

How do I prove (x-2) is a factor of the function f(x) = x^2-4x+4?

First equate the factor to equal 0 then solve:x -2= 0;x = 2;
now plug the number 2 into all the X values:
(2)^2-4(2) + 4 = 8-8 = 0

LC
Answered by Luke C. Maths tutor
3176 Views

Given that y = 16x + 1/x , find the two values of x for which dy/dx = 0

The first stage of this question involves differentiating the equation of y in terms of x given to us. In order to differentiate, we first need to write y in terms of base x (where all the terms are x to ...

AK
Answered by Andrew K. Maths tutor
4881 Views

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