MATH 114 Final: MATH 114 UPenn Final114Fall2012
Document Summary
Assume the acceleration of gravity is 10 metrs/sec2 downwards. A ball is hit with a horizontal velocity of 20 meters/sec and a vertical upward velocity of 25 meters/sec. If: 11, 16, 21, 26, 31, 36 dy dt. Find the z coordinate of the point on the surface 2z = 10 4x2 6y2 where the tangent plane is parallel to the plane 4x + 12y + 2z = 0. The velocity v of a particle moving along the x axis (so v = di erential equation dv dt v. What is the position of the particle at time t = 4 seconds, if you know that the initial postion x(0) = 0, and the initial velocity v(0) = (0) = 5 feet/sec. dx dt. Find the distance from the ellipsoid x2 + y2 + 4z2 = 4 to the plane x + y + z = 6: 20 , 15 , 20 , 12 +
