Top answers

Given that (2x-1) : (x-4) = (16x+1) : (2x-1), find the possible values of x

The question tells us the ratio between two algebraic expressions is the same as the ratio between 2 other algebraic expressions. So, we can re-write the equation as (2x-1)/(x-4) = (16x+1)/(2x-1)Re-arrange a...
PM
Answered by Pav M. • Maths tutor
19469 Views

How does F Scott Fitzgerald convey an admiration for excessive wealth in the opening scene of Tender is the Night?

The surreal image of this place aids the clear portrayal of excessive wealth, prominent throughout, which is closely linked to the worshipping of luxury. For example, the "large, proud, rose-coloured ho...
HL
4453 Views

How are nerve impulses transmitted across a synapse?

Nerve impulses travel in one direction from the pre-synaptic to the post-synaptic neuron across a gap called a synapse. This is done to continue a nerve impulse so that it can reach its destination in the bo...
EH
Answered by Elizabeth H. • Biology tutor
9087 Views

The curve C has equation x^2 – 3xy – 4y^2 + 64 = 0; find dy/dx in terms of x and y, and thus find the coordinates of the points on C where dy/dx = 0

Start by differentiating x 2 – 3xy – 4y 2 + 64 = 0 with respect to x to obtain an equation in x, y and dy/dx: 2x – 3y – 3x.dy/dx – 8y.dy/dx = 0 [use the product rule to differentiate –3xy dy/dx(3x + 8y) = 2x...
FB
Answered by Felix B. • Maths tutor
13887 Views

Find the indefinite integral of sin(x)*e^x

As we are integrating, we must decide which method to use. As the integrand is of the form f(x)*g(x), integration by parts seems to make sense. Firstly, let L = INT(sin(x)*e^x). So we want to find L - this w...
CJ
Answered by Christopher J. • Maths tutor
4292 Views