14----yellowexam1sol[1]

# 14----yellowexam1sol[1] - yellow MATH 32A Exam 1 LASTNAME...

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Sheet1 Page 1 yellow MATH 32A Exam 1 October 23, 2007 LASTNAME FIRST NAME IDNO. YourTA: To receive credit, you must write your answer in the space provided. DO NOT WRITE BELOW THIS LINE 1 (20 pts) 6 (20 pts) 2 (20 pts) 7 (20 pts) 3 (40 pts)

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Sheet1 Page 2 8 (30 pts) 4 (10 pts) 9 (20 pts) 5 (20 pts) TOTAL T PROBLEM 1 (20 Points) (A)Determine the type of the quadric surface: 2 2 2 xy z += -1 68 12 Answer : (B)Whattype ofconic sectionis obtained whenthequadric surface is intersected with the plane y =6? Answer : Solution: (A)hyperboloid of two sheets. (B)hyperbola. ( PROBLEM 2 (20 Points)
Sheet1 Page 3 Find parametric equations of the line through the point P0 Err:509 Err:509 Answer : Solution: The vectorparametrizationis r(t)= h4,3,-2i+ th1,1,-1i = h4+t,3+t,-2-ti The parametric equations are x =4+t, y =3+t, z = -2-t x PROBLEM 3 (40 Points) Let v Err:509 Err:509 Let be the angle between v and w. Calculate the quantities(A)-(D).

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## This note was uploaded on 04/21/2008 for the course MATH 31A taught by Professor Jonathanrogawski during the Fall '07 term at UCLA.

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14----yellowexam1sol[1] - yellow MATH 32A Exam 1 LASTNAME...

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