Question 13 P(43) NOT TO SCALE Figure 3 Figure 3 shows part of the curve y=+1...

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Question 13 P(43) NOT TO SCALE Figure 3 Figure 3 shows part of the curve y=+1 and line I which is a normal to the curve at point P(4,3). The line x = 8 is also shown. (a) Find the equation of line 1. Give your answer in the form y = mx + c. [4] (b) Find the area, which is shaded on the diagram, that is bounded by line I, the curve y = +1, the line x = 8 and the x-axis. Give your answer in the form +In where p, q and rare integers. All working must be shown. Point Q lies on another part of the curve y=+1 which is not shown in figure 3. The tangent to the curve at point Q is parallel to the tangent at point P. (c) Find the coordinates of point Q. [6] [3] Question 13 P(43) NOT TO SCALE Figure 3 Figure 3 shows part of the curve y=+1 and line I which is a normal to the curve at point P(4,3). The line x = 8 is also shown. (a) Find the equation of line 1. Give your answer in the form y = mx + c. [4] (b) Find the area, which is shaded on the diagram, that is bounded by line I, the curve y = +1, the line x = 8 and the x-axis. Give your answer in the form +In where p, q and rare integers. All working must be shown. Point Q lies on another part of the curve y=+1 which is not shown in figure 3. The tangent to the curve at point Q is parallel to the tangent at point P. (c) Find the coordinates of point Q. [6] [3]