Question The parametric equations of a curve are , i. Find in terms of t and hence find the coordinates of the stationary point, giving each coordinate correct to 2 decimal places. ii. Find the gradient of the normal to the curve at the point where the curve crosses the x-axis. Solution […]
Question The diagram shows the curve y=4e−2x and a straight line. The curve crosses the y-axis at the point P. The straight line crosses the y-axis at the point (0, 9) and its gradient is equal to the gradient of the curve at P. The straight line meets the curve at two points, one of […]
Question The parametric equations of a curve are , i. Find in terms of t and hence find the coordinates of the stationary point, giving each coordinate correct to 2 decimal places. ii. Find the gradient of the normal to the curve at the point where the curve crosses the x-axis. Solution […]
Question Find the equation of the tangent to the curve at the point on the curve for which x = 0. Give your answer in the form ax+by +c = 0 where a, b and c are integers. Solution We are given that curve with equation and we are required to find the equation of […]
Question Find the equation of the tangent to the curve at the point on the curve for which x = 0. Give your answer in the form ax+by +c = 0 where a, b and c are integers. Solution We are given that curve with equation and we are required to find the equation […]
Question The diagram shows the curve with equation The curve crosses the x-axis at the point P and has a minimum point M. i. Find the gradient of the curve at the point P. ii. Find the exact coordinates of the point M. Solution i. We are required to find the […]