(no calculator) 6) In the figure above, the line & is tangent to the graph of at the point P, with coordinatew,where w>o. The point Q has the coordinate (w0). The line e crosses x-axis at point R, with coordinates (k,0). (Ipts) a) Find the value of k when w-5 (3pts) b) For w>0, find k in terms of w. (2pts) c) Suppose that w is increasing at a constant rate of 6 units per second. When w-4 the rate of change of k with respect to time? (3pts) d) Suppose that w is increasing at a constant rate of 6 units per second. When w the rate of change of the area of ÎPQR with respect to time? Determine whether the area is 4, what is increasing or decreasing at this instant.
Show transcribed image text (no calculator) 6) In the figure above, the line & is tangent to the graph of at the point P, with coordinatew,where w>o. The point Q has the coordinate (w0). The line e crosses x-axis at point R, with coordinates (k,0). (Ipts) a) Find the value of k when w-5 (3pts) b) For w>0, find k in terms of w. (2pts) c) Suppose that w is increasing at a constant rate of 6 units per second. When w-4 the rate of change of k with respect to time? (3pts) d) Suppose that w is increasing at a constant rate of 6 units per second. When w the rate of change of the area of ÎPQR with respect to time? Determine whether the area is 4, what is increasing or decreasing at this instant.