Answer Q15, 16 11. Sketch the curve given parametrically by the equation x = 1 + t, y = 1 – t. Plot on yoursketch the point where the curve crosses the coordinates axisand the stationary point. Show that an equation of normal to curve at the point with.3parameter is x – 2ty = 2t – 7t + 1. The normal to the curve at the point P where t = 1 cuts the|-curve again at point Q. determine the coordinates of Q.3x-112. The function f is defined by f(x)X # 1(x-1)2 'a) Sketch the graph of f(x) showing clearly the coordinates of the turning point(s) and itsbehavior as it approaches its asymptotes.b) Show that the area of the finite région bounded by the curve and the lines x = 4 andy = 2 is=+ 21n.a+bx13. The graph ofhas a turning point at p(2, -1). Find the values of a and b and hence,(x-1)(x-4)'sketch the curve y = f(x) showing clearly the turning points, asymptotes and intercept(s) withthe axis.14. Sketch the curveshowing clearly the turning point(s) where the curve, meets the(x+1)(x-3)coordinates axis and the behavior of the curve near it asymptotes.15. Sketch the graph of2(x-1)showing clearly the point(s) where the curve meets the coordinatesaxis and the behavior of the curve near it asymptotes.X+116. Sketch the graph of yshowing clearly the intercepts and the behavior of the curve nearX-1its asymptotes.17. Sketch the curve of yx+2%3Dx ER, x + -1, showing clearly its intercepts with the coordinate axesx+1and the behaviour of the curve as it approaches its asymptotes2/3

Name: Answer Q15, 16 11. Sketch the curve given parametrically by the equati
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Description: Answer Q15, 16 11. Sketch the curve given parametrically by the equation x = 1 + t, y = 1 – t. Plot on yoursketch the point where the curve crosses the coordinates axisand the stationary point. Show that an equation of normal to curve at the point wi