2. Determine the second derivative of each of the following: a. y = x + 3x6 2x f. f(x) = b. f(x) = Vx g. y= x+ c. y = (1 - x)2 h. g(x) = V3x - 6 d. h(x) = 3x4 - 4x3 - 3x2 - 5 i. y = (2x + 4)3 e. y = 4xi - x -2 j. h(x) = vx55. A particle moves along a straight line with the equation of motion $ = 13 - 212 + 31, 1 =0. a. Determine the particle's velocity and acceleration at any time . b. When does the motion of the particle change direction? c. When does the particle return to its initial position?4. A rectangular piece of cardboard, 100 cm by 40 cm, is going to be used to make a rectangular box with an open top by cutting congruent squares from the corners. Calculate the dimensions (to one decimal place) for a box with the largest volume.5. A rectangular piece of land is to be fenced using two kinds of fencing. Two opposite sides will be fenced using standard fencing that costs $6/m, while the other two sides will require heavy-duty fencing that costs $9/m. What are the dimensions of the rectangular lot of greatest area that can be fenced for a cost of $9000