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Find both stationary points for y= 4x^(3)-3x^(2)-60x+24. Also find the nature of those points.

y= 4x³- 3x²- 60x+ 24dy/dx = 12x²- 6x- 60 = 2x²- x- 10 = (2x-5)(x+2)
So stationary points are at x= 5/2 and x= -2
d²x/dy²= 24...

Answered by Will M. • Maths tutor

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Find the coordinates of the points where the lines y=x^2-5x+6 and y=x-4 intersect.

At the points of intersection the x and y coordinates will be the same. So we can solve the equations simultaneously to see what solutions to x and y solve both equations.Rearrange the second equation to ...

Answered by Georgia C. • Maths tutor

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what does it mean if "b^2 - 4ac < 0" for a quadratic equation (eg y = ax^2 + bx + c)

The question comes from the quadratic equation r = (-b +- sqrt(b² - 4ac)/2a where r is the root or x coordinate where the line crosses the x-axsis (the y coo...

Answered by Nick W. • Maths tutor

4217 Views

Determine whether the line with equation 2x+ 3y + 4 = 0 is parallel to the line through the points with coordinates (9, 4) and (3, 8).

Parallel means that the lines have the same gradient/slope. For example, the lines in an equal sign are parallel.Consider the standard equation of a line is: y = mx + c

Answered by Dominique E. • Maths tutor

5148 Views

The circle C has centre (2,1) and radius 10. The point A(10,7) lies on the circle. Find the equation of the tangent to C at A and give it in the form 0 =ay + bx + c.
Whenever possible it is always a good idea to draw a graph to give a better understanding of what is going on in the question. As we have already been given a point on the tangent, namely A(10,7), it is a...
Answered by George G. • Maths tutor
4381 Views

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Top answers

Find both stationary points for y= 4x^(3)-3x^(2)-60x+24. Also find the nature of those points.

Find the coordinates of the points where the lines y=x^2-5x+6 and y=x-4 intersect.

what does it mean if "b^2 - 4ac < 0" for a quadratic equation (eg y = ax^2 + bx + c)

Determine whether the line with equation 2x+ 3y + 4 = 0 is parallel to the line through the points with coordinates (9, 4) and (3, 8).

The circle C has centre (2,1) and radius 10. The point A(10,7) lies on the circle. Find the equation of the tangent to C at A and give it in the form 0 =ay + bx + c.

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Search over 10,000 free study notes

Top answers

Find both stationary points for y= 4x^(3)-3x^(2)-60x+24. Also find the nature of those points.

Find the coordinates of the points where the lines y=x^2-5x+6 and y=x-4 intersect.

what does it mean if "b^2 - 4ac < 0" for a quadratic equation (eg y = a*x^2 + b*x + c)

Determine whether the line with equation 2x+ 3y + 4 = 0 is parallel to the line through the points with coordinates (9, 4) and (3, 8).

The circle C has centre (2,1) and radius 10. The point A(10,7) lies on the circle. Find the equation of the tangent to C at A and give it in the form 0 =ay + bx + c.

We're here to help

Company Information

Popular Requests

© MyTutorWeb Ltd 2013–2025

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what does it mean if "b^2 - 4ac < 0" for a quadratic equation (eg y = ax^2 + bx + c)