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MATH 2ll EXAM II  OCTOBER 29,2008 1) points(if theyexist) a)Findall localminima,maxima,andsaddle 2x3 +3y2 +6xy forz : 6x2 all if b)Determine the limit exists(show work) t*'f, lim x"Y+xY'
(xY)'(0,0)
implicitly by the equation2yf +( described the 2
CALCULUS 211FINAL EXAMDECEMBER 17, 2008 l e l ) F o r t h e i n ea n d t h e p l a ng i v e n b y x: 3  t , y : t +  , z : 3 t a n d x + y  z : of of the a)Determine coordinates the point of intersection the line and the plane
I
b)Determine the cosin
MATH 211 Exam #1 October 10, 2012
All questions 20 points. No calculators
1. Given the point P(2,1,0) and the line
x 1 t , y 2t , z 2 t.
(a) Determine the equation of the plane containing the point and the line.
(b) Determine the shortest distance (which
MATH 211 Exam #1 September 30, 2009
All questions 20 points. No calculators
1. Find the equation of the plane formed by the intersecting lines
x 1 2t , y 1 3t , z 2t and x 1 t , y 1 t , z t.
2. Find the parametric equations for the line in which the follo
MATH 211 Exam #1 September 21, 2011
All questions 20 points. No calculators
1. Determine for the vectors
A 2i j k and B i 3k
(a) The vector projection of B on A (which is a vector in the direction of A whose magnitude is the
scalar component of B along A)
MATH 211: Calculus III A
Fall 2015 Course Syllabus
NJIT Academic Integrity Code: All Students should be aware that the Department of Mathematical Sciences
takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. Thi
1)For the'spacé 'cUrv‘e described by: "r" = ‘ti +t2' ——}—'k, Determine the equation of the plane
formed by ‘ ‘ .
the velocity andacceleration vectors atthe point (1 ,1;1) luate by canvei‘ti'r‘rg to Polar coerdinates
_,2
005:0:2 +7y2)dydx 3)Ev:al'uaté b