MATH 200 Midterm: MATH 200 2007 Winter Test 1

• School: UBC
• Department: Mathematics
• Course: MATH 200
• Professor: All

Document Summary

Be sure that this examination has 12 pages. Write your name on top of each page. In case of an exam disruption such as a re alarm, leave the exam papers in the room and exit quickly and quietly to a pre-designated location. Find the area of the triangle abc: (3 points) find the angle between the sides ab and bc in the triangle abc. You may express your answer in terms of arccos: (2 points) find an equation for the plane passing through c and perpendicular to l. Problem 2. (12 points) consider a twice di erentiable function f (x, y) illustrated by the contour map on the follow page. (the numbers on the contour plot give the function values along the contours. : (2 points. ) Draw the direction of f at point c on the diagram: (2 points. ) Classify these points as local minima, local maxima, or saddle points: identify each of the following statements as true or false.