Top answers

Show that the curve with equation y=x^2-6x+9 and the line with equation y=-x do not intersect.

First, you equate the 2 equations to get this single quadratic equation (x^2-5x+9=0). And then evaluate the expression b^2-4ac. If b^2 -4ac is < 0 then they do not intersect. In our case b^2 -4ac is -9, w...
FK
Answered by Foday K. • Maths tutor
4670 Views

The line L has equation 7x - 2y + 11 = 0, Find the gradient of l

First rearrange the equation to get 2y = 7x + 11.Then divide through by 2 to get the equation for y: y=7x/2 +11/2Now differentiate with respect to x to find the gradient function: dy/dx=7/2 + 0We have found ...
GH
Answered by Gabriel H. • Maths tutor
5081 Views

How do you know if a stationary point on a curve is a maximum or minimum without plotting the graph?

Once you have found the stationary point of the equation by differentiating the equation and equating it to zero. You can then find out if the point you have found is a maximum, minimum or point of inflectio...
SG
Answered by Sam G. • Maths tutor
4849 Views

How do I plot a graph of y=x^3-9x?

To begin with we see that y=x 3 -9x is a positive cubic function, and therefore we know its general shape.The first step is to find the x interecepts. We do this by setting y=0 and solving the resulting equa...
TD
Answered by Tutor127548 D. • Maths tutor
8967 Views

Integrate the function 1/sqrt(9-x^2) with respect to x

Hint: Use the substitution x = 3sin(u)Method: substitute u into the function then times it all by dx/du. Simplify and integrate with respect to u to get u. Then resubstitute x back into the equation to get:A...
LG
Answered by Luke G. • Maths tutor
4451 Views