Can someone complete

CALCULUS WEEKLY REVIEW #11 1. Rotate the space bounded by y = x2 2. Find the derivative of: and y = x3 in the first quadrant around the y-axis. What is the volume of the y = (x)(sin x2) solid that is formed? 3. What is the slope of the curve 4. If you have a 10 foot ladder that slides down a wall at 2 feet per minute, how fast y' - y = 3x+ 3 is the bottom of the ladder sliding when at the point where x = 1? the top is 8 feet above the ground? 5. On what interval(s) is 6. If 8 (x) = ]t+ dt, what is 8'(3)? f(x) = x3 + 6x2 - 15x + 2 increasing? 7. Find the volume of the solid whose base 8. Use your calculator to find the slope of is bounded by y = x2 , the x-axis, and the the line tangent to y = ex at x = 3. line x = 2. The cross sections of the solid are squares that are perpendicular to the x-axis. 9. A particle moves along a line according to the 10. Find the area between the equation curves y = 5x - x2 and y = 2x in the s(t) = -4cost -+10 2 first quadrant. What is the velocity of the particle when the acceleration is equal to zero? Only consider the interval [0, It]. (Use your calculator.)