On a diagram, draw the circle and the tangent at the point P (3, -4) and draw the radius from the centre (0, 0) to the point P. The gradient of the radius is given by c h a n g e i n y c h a n g e ...

17. Let C C be the curve y = (x−1)3 y = (x 1) 3 and let L L be the line 3y+x = 0. 3 y + x = 0 Find the equation of all lines that are tangent to C C and are also perpendicular to L. L . Draw a labeled ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c. We can use perpendicular gradients to find the value of m, then use the coordinates of P to find the ...