A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 3 - 2. What are the dimensions of such a rectangle with the greatest possible area? Width = units Height = unitsFind the point on the line 62 + 3y + 5 = 0 which is closest to the point (1, 1). per:((J0) Hint: The distance between two points (a, b) and (p, q) is given by d=./lap)*+ (- g2 The length of a rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of 4cm/s. When the length is 30cm and the width is 15cm, how fast is the area of the rectangle increasing? Answer : E] cm? /s dy dx Suppose that a point is moving along the path xy = 5 so that = 5. Find at dt when x = 1. dx = dt