Question The diagram shows the part of the curve for , and the stationary point M. i. Find the equation of the tangent to the curve at the origin. ii. Find the coordinates of M, giving each coordinate correct to 3 decimal places. Solution i. We are given that […]
Question The diagram shows the curve with parametric equations for . i. Show that can be expressed in the form ii. Find the equation of the normal to the curve at the point where the curve crosses the positive y-axis. Give your answer in the form y = mx +c, where the constants […]
Question A curve has equation y = 2 sin 2x − 5 cos 2x +6 and is defined for 0 ≤ x ≤ π. Find the x-coordinates of the stationary points of the curve, giving your answers correct to 3 significant figures. Solution We are required to find the x-coordinates of stationary points of the […]
Question The diagram shows the curve with parametric equations for . The minimum point is M and the curve crosses the x-axis at points P and Q. i. Show that . ii. Find the coordinates of M. iii. Find the gradient of the curve at P and at Q. Solution i. […]
Question The diagram shows the curve with parametric equations for . The minimum point is M and the curve crosses the x-axis at points P and Q. i. Show that . ii. Find the coordinates of M. iii. Find the gradient of the curve at P and at Q. Solution i. […]
Question A curve is defined by the parametric equations for . i. Show that . ii. Find the coordinates of the stationary point. iii. Find the gradientof the curve at point . Solution i. We are required to show that for the parametric equations given below; If a curve […]