Math 213
Final Exam
December 15, 2006
Read each problem carefully. Please show all your work for each problem! Use only those methods discussed thus far in class. Always simplify when possible. No calculators! 1. (10 points) Find a parametric equation of
MATH 213-EXAM III -November19' 2008 z surface : xy shaped |)Find the surfaceareathatis cut from the saddle by the cylinderxz + !2 : I by the usingtriple integration, volumeof the regionin the first octantbounded the Z)Evaluate, y+z:2andtheparaboliccylinde
Math 213
Exam 3
November 29, 2006
Read each problem carefully. Please show all your work for each problem! Use only those methods discussed thus far in class. Always simplify when possible. No calculators! 1. (16 points) Compute: (2x - 3) dxdy,
R
where R
MATH 213- EXAM II -OCTOBER 29, 2008 1) points(if they exist) a)Findall local minima, maxima,and saddle forz=6x2-2x3+3y2+6xy b)Using the chain rule E v a l u a t# u t u : 2 , v : e x I f o r w : x y z + y 2+ z 2 w h e r e : Lt-fv,!:l'tr, z: # i xzlny : 3
i
Math 213
Exam 2
October 25, 2006
Read each problem carefully. Please show all your work for each problem! Use only those methods discussed thus far in class. Always simplify when possible. No calculators! 1. (18 points) (a) Use the Chain Rule to find the
3 2.\
MATH 213 EXAM I -September24,2008 linesx - 2 : t(y * t) : !(z - 3) l)For thetwo intersecting andd(x-5): +A,-l):z-4 a)Deierminethe ioordinates of the point wherethey intersect thesetwo lines the b)Determine cosineof the anglebetween of the 2)a)Determ
Math 213
Exam 1
September 27, 2006
Read each problem carefully. Please show all your work for each problem! Use only those methods discussed thus far in class. Always simplify when possible. No calculators! 1. (18 points) For the curve defined by r(t) = (
CALCULUS 213-FINAL EXAM-DECEMBER 17, 2008 x l ) F o r t h el i n ea n d t h e p l a n g i v e n b y : 3 - t , ! : t * l , z : 3 t a n d x+ y - z : I e of the of a)Determine coordinates the point of intersection the line andthe plane the the b)Determine co