Math 211
Final Exam
Fall 2015
1. (a) (15 points) Find parametric equations for the line in which the planes 3x 6y
2z = 3 and 2x + y 2z = 2 intersect.
(b) (10 points) Find the distance from the point (2, 3, 4) to the plane x+2y +2z =
13.
2. (a) (10 points
Math 211
Exam 2
Fall 2015
p
1. (a) (10 points) For the function f (x, y) = x y 2 + 4, find and sketch the domain.
Find an equation for the level curve of f (x, y) passing through the point (4, 2).
(b) (10 points) Find all the second order partial derivati
Math 211
Final Exam
Spring 2015
Name:
Instructions: Show all work and justify all steps of each argument you make. Points
may be deducted if either is missing or inadequate. Note that there is one question on
the back. You have 2 12 hours for this exam.
1
Math 211
Exam 1
Spring 2015
1. Given the points P (2, 0, 0), Q(0, 4, 1) and R(3, 3, 0) in space.
(a) (10 points) Find the vector V = 2(P Q QR).
(b) (10 points) Find the vector of length 6 in the direction opposite to P R.
2. Given the points P (1, 2, 3)
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
Math 211
Exam 2
Fall 2015
p
1. (a) (10 points) For the function f (x, y) = x y 2 + 4, find and sketch the domain.
Find an equation for the level curve of f (x, y) passing through the point (4, 2).
(b) (10 points) Find all the second order partial derivati
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
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 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 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
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
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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
Math 211
Examination 2
Spring 2015
1. (a) (10 points) A particle traveling in a straight line is located at the point (1, 1, 2)
and has speed 2 at time t = 0. The particle moves toward the point (3, 0, 3) with
constant acceleration 2 i + j + k. Find the p