PHYSICS 15A Final: PHYS15A Harvard 03 Fall Final Solutions
Document Summary
Instructions: please complete the information requested below. 9 multiple choice problems and 4 open answer problems. No partial credit will be given on the multiple choice questions: please show all your work on the exam itself. Problem points with little or no supporting work will not be given credit: you are allowed to use one hand-written sheet of paper with formulas. No calculators, books or other aids are allowed. Part i: multiple choice questions: 10 points. Find the angle between the xy-plane and the tangent plane to the ellipsoid x2. = 1 at the point (2, 2, 1). (a) 27: 10 points (1, 0, 1) and containing the line ht, 1, 5 ti. Find the distance from the origin to the plane passing through the point (a) 2 (d) 2 2 (b) (e) 3 (c) 2 (f) none of the above: 10 points. A news helicopter is descending along the helix hsin( t), cos( t), 10 ti.
