(a) sint 1-cost (b) Please note each question has 4 options: (a), (b), (c) and (d). 1. Given x = t - sint and y = 1 - cost, then dy 1-cost t-sint = 1-cost sint sint cost-1 2. Given sin x cos y - 2 = 0, then dy (a) -cot x (b) COS X 2-cos x -cosec y cos x sin y sin y 3. A metal circular disk expands during heating. If its radius increases at a rate of 0.1 cms , how fast is the area of one of its faces increasing when its radius is 20 cm? (a) 0.4 cms-1 (b) 4 cms-1 (c) 40 cms-1 (d) 400 cms-1 4. Which one of the following is true about the curve y = 4x + 8x+1? (a) (-1,-3) is a minimum turning point (b) (-1,-3) is a point of inflection (c) (-1,-3) is a maximum turning point (d) There are no stationary points 5. Which one of the following is true about the curve y = 5x3 ? (a) It has no stationary points (c) It's at a minimum at (0,0) (b) It has a local maximum at (0,0) (d) There's a point of inflection at (0,0)