4) Rectangular bathtub has a fixed height of 10ft. The length of the bathtub is increasing at a rate of 2ft/sec, and the width is increasing at a rate of 1.5ft/sec. How fast is the volume increasing at the moment when length is 30ft and width is 12ft?2t d) F(x) = +e -21 Ve dt 2x8) A triangle has base 10ft and the height 6ft. What is the area of the largest rectangle inscribed in this triangle? 12) Find the area of the region bounded by the curves y = x2 4x + 3 and y = x2 + 2x + 3