Hits: 78
Hits: 78 Question The diagram shows part of the curve and the minimum point M. i.Find the expressions for and ii.Find the coordinates of M. The shaded region is bounded by the curve, the y-axis and the line through M parallel to the x-axis. iii.Find, showing all necessary working, the area of the shaded region. […]
Hits: 134 Question A curve is such that . The point P (2,9) lies on the curve. i. A point moves on the curve in such a way that the x-coordinate is decreasing at a constant rate of 0.05 units per second. Find the rate of change of the y-coordinate when the point is at […]
Hits: 91 Question The diagram shows part of the curve and a point P(2, 1) lying on the curve. The normal to the curve at P intersects the x-axis at Q. i. Show that the x-coordinate of Q is . ii. Find, showing all necessary working, the area of the shaded region. Solution […]
Hits: 44 Question A curve for which has a stationary point at (3, 6). i. Find the equation of the curve. ii. Find the x-coordinate of the other stationary point on the curve. iii. Determine the nature of each of the stationary points. Solution i. We can find equation of the curve […]
Hits: 57 Question The diagram shows part of the curve with equation . The shaded region is bounded by the curve, the x-axis and the line x = 3. i. Find, showing all necessary working, the volume obtained when the shaded region is rotated through 360O about the x-axis. ii. P is the […]
Hits: 50 Question A curve with equation y = f(x) passes through the points (0, 2) and (3, −1). It is given that , where is a constant. Find the value of . Solution i. We can find equation of the curve from its derivative through integration; For the given case; Therefore; Rule for […]