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How do you prove two straight lines intersect?

There are two ways to prove they intercept (you can choose whichever one you prefer). Say we have two straight lines, for example: r1 = 3i + 4...

NM
Answered by Nicholas M. Maths tutor
10184 Views

Solve the simultaneous equations: 6x +2y = 2 and 12x - 3y = 18

6x + 2y = 2 and 12x -3y =18 

Start by multiplying the first equation by two in order to balance both equations to have equal numbers of x

12x + 4y = 4 and 12x - 3y = 18

Rearrange both...

JH
Answered by Jack H. Maths tutor
3177 Views

A golf ball is hit at angle θ to the horizontal, with initial velocity u. Stating an assumption, show that the horizontal distance travelled by the ball is directly proportional to u^2.

If we assume there is no air resistance, this means that the horizontal component of the ball's velocity won't change. Resolving horizontally we can see that the horizontal velocity = ucos(θ). We can ...

DB
Answered by Douglas B. Physics tutor
10255 Views

Given that y = x^4 tan(2x), find dy/dx

Here we have a product of two functions - they are being multiplied together - so we need to use the product rule. The product rule is: if y = u·v, dy/dx = v·u' + u·v' (where f' stands for df/dx). u = x^4...

DB
Answered by Douglas B. Maths tutor
9647 Views

How is DNA replicated?

Scientists have proposed several models of DNA replication but the currently accepted model is called the 'Semi-Conservative' model. The Semi-Conservative model of DNA replication was discovered by two sc...

GD
Answered by Gurpreet D. Biology tutor
5300 Views

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