Top answers

Given y=rootx + 4/rootx = 4, find the value of dy/dx when x=8, writing your answer in the form aroot2, where a is a rational number.

First, we will write out the equation, writing the root x values in a way that allows us to differentiate them. Root x can be written as x^1/2 and 4/rootx can be written as 4x^-1/2. Now we can differentiate....
Answered by • Maths tutor
13905 Views

what is the difference between remainder and factor theorem?

the remainder theorem helps us find the reminder when a polynomial of degree n f(x)=a n x n +a n-1 x n-1 +.....+a 2 x 2 +a 1 x 1 +a 0 (where a n ,....,a 0 are coefficients) is divided by another polynomial g...
Answered by • Maths tutor
4732 Views

A block of mass 5kg is on a rough slope inclined at an angle of 30 degrees to the horizontal, it is at the point of sliding down the slope. Calculate the coefficient of friction between the block and the slope.

If the block is at the point of sliding, we know the frictional force, F, is at it's maximuim, F = kR, where k is the coefficient of friction and R is the reaction force.As we know the mass of the block, the...
Answered by • Maths tutor
5988 Views

Use the formula 5p + 2q = t to find the value of q when p = 4 and t = 24. 6

5p+2q=t 5*4+2q=24.6 20+2q=24.6 2q=24.6-20 2q=4.6 q=4.6/2 q=2.3
Answered by • Maths tutor
8176 Views

Differentiate with respect to x: x*cos(x)

Firstly, x cos(x) is a product of two functions of x. Therefore we can use the product rule to work out the derivative of the whole function. Differentiating each part makes it easier to visualize the formul...
SS
Answered by Stefan S. • Maths tutor
3706 Views