passes through the point P = P (π 2, π 2). P = P (π 2, π 2) . Find the slope of the tangent line through P. P . Write the tangent line through P. P . Write the equation of the line tangent to the ...

8. Consider the parametric curve x(t) = −2+2cost, x (t) = 2 + 2 cos t, y(t) = 1−2sint. y (t) = 1 2 sin t State the Cartesian equation of the curve and the sketch the curve. Determine the direction of ...

Differentiate algebraic and trigonometric equations, rate of change, stationary points, nature, curve sketching, and equation of tangent in Higher Maths.

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

But there's a trick that uses calculus and the magic of dividing by zero. Instead of finding the tangent line, it's much easier to find the slope of a line that touches the curve at two points. If ...

If a race course is USATF-certified, it’s going to have been measured on that tangent line, which means that if you don’t run along it, you’re going to end up running more than the official ...