Question The equation of a curve is i. Show that ii. Find the coordinates of the points on the curve where the tangent is parallel to the x-axis. Solution i. We are given; We are required to find . To find from an implicit equation, differentiate each term with respect to , using the […]
Question The diagram shows the points and on the curve . The line BC is the normal to the curve at B, and C lies on the x-axis. Lines AD and BE are perpendicular to the x-axis. i. Find the equation of the normal BC. ii. Find the area of the shaded region. Solution i. To find the equation […]
Question The diagram shows a rectangle ABCD, where A is (3, 2) and B is (1, 6). i. Find the equation of BC. Given that the equation of AC is , find ii. the coordinates of C, iii. the perimeter of the rectangle ABCD. Solution i. To find the equation of the line either we need coordinates of thetwo points […]
Question The gradient at any point on a curve is . The curve passes through the point . Find i. the equation of the curve, ii. the point at which the curve intersects the y-axis. Solution i. To find the equation of the curve: We can find equation of the curve from its derivative […]