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Given y = 4x/(x^2 +5) find dy/dx, writing your answer as a single fraction in its simplest form

This function is fraction so the easiest method is to use the quotient rule (though the product rule can be used). Recall the quotient rule dy/dx = [vu' - uv']/[v^2]Note, u and v refer to the numerator a...

Answered by Laurence C. Maths tutor
3660 Views

The equation of the line L1 is y = 3x – 2. The equation of the line L2 is 3y – 9x + 5 = 0. Show that these two lines are parallel.

To begin with,for every line ax+by+c=0 the gradient is m=(-a)/b.From theory, it is known that two lines are parallel only if their gradients are equal. For line 1: y=3x-2, it implies that 3x-y-2=0(we just...

Answered by Anca I. Maths tutor
4200 Views

How do you factorise a quadratic equation?

By looking at the equation you see it is made up of three components. The way to factorise it is to multiply the integer or constant at the end by the coefficient of the x 2 term, the number be...

Answered by Sidhi K. Maths tutor
2640 Views

Expand and simplify 9(x+3)-2(3x-4)

9(x+3)-2(3x-4)9x+27-6x+83x+35

Answered by Kiran S. Maths tutor
3036 Views

A particle is placed on a rough plane which is inclined to the horizontal at an angle θ, where tanθ =4/3, and released from rest. The coefficient of friction between the particle and the plane is 1/3. Find the particle's acceleration.

Start by drawing a diagram with all of the information from the question on it, as well as the forces acting on the particle. As forces can be divided into their component parts, we can look at the questi...

Answered by Tutor121490 D. Maths tutor
5954 Views

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