Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.
The curve has equation for Figure 1 shows
Use Figure 1 to state the -coordinates of the stationary points of
Determine whether each stationary point is a local maximum or a local minimum. Justify your answers.
Show that is a point of inflexion of and determine the gradient of there. State whether this gradient is zero or non-zero.
The function is defined, for by
Figure 1 shows the graph of for
Use Figure 1 to state the -coordinates of the stationary points of and classify each as a local maximum, a local minimum or neither. Justify your classifications using the sign of on either side.
Use Figure 1 to determine the -coordinates of the points of inflexion of Hence determine the coordinates of both points of inflexion and the gradient of at each.
A particle moves along a straight line. Figure 1 shows its velocity, during the first seconds of its motion. The graph consists of straight-line segments.
Determine the acceleration of the particle during the first seconds. Give your answer with units.
Determine the displacement of the particle during the seconds. Give your answer with units.
Hence, determine the total distance travelled by the particle during the seconds. Give your answer with units.
Unlock every question in this topic, then type, photograph or draw your answer and have it marked against the markscheme. Find out where you are dropping marks.