1. Evaluate the integral by making an appropriate substitution. 2: d fx2+4 x 2. $70369 + 2)dt) ex-I-ea" ex 3. Perform the division and then nd an antiderivative. f dx 4. A line segment of length 2 has its center at the point (2, 5) and makes an angle of B with horizontal. What value of B will result in the largest surface area when the line segment is rotated about the yaxis? Explain your reasoning. 5. A tank 4 feet long, 3 feet wide and 6 feet tall is lled with a oil which weighs 60 pounds per cubic foot. (a) How much work is done pumping all of the oil over the top edge of the tank? (b) How much work is done pumping the top3 feet of oil over the top edge of the tank? 6 (3} Find the total mass and the center of mass for a system consisting of the 4 masses in the following table. (b) Where should you locate a new object with mass 12 so the new system has its center of mass at (3, S)? III 1 2 3 5