MATH 241: CALCULUS III Department of Mathematics, UMCP
Fall 2007 Handed out: Tuesday, 10/23/07
Practice Exam 2
WORK ON ALL PROBLEMS. Justify your answers. Cross out what is not meant to be part of your final answer. This test should take approx. 90 min. T
MATH 241: CALCULUS III Department of Mathematics, UMCP
Fall 2007 Handed out: Friday, 09/28/07
Practice Exam 1
WORK ON ALL PROBLEMS. Justify your answers. Cross out what is not meant to be part of your final answer. 1. Consider the vectors a = i + j + 3k,
syms x y int(int(x*(y^2-x^2)^(1/2),x,0,y),0,1) syms x y int(int(exp(x),x,1,log(y),1,exp(1) syms v u f = inline(vectorize(u*sqrt(v*u)^2-u^2)*u),'v','u') dblquad(f,0,1,0,1) f = inline(vectorize(sqrt(u^4+(u*v)^4)*u) dblquad(f,0,1,0,1)
> syms x y > int(int(x*
MATH all] _ SoQuCiMS +0 Exam 2
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MATH 241 (Sec. 02): CALCULUS III Department of Mathematics, UMCP
Fall 2007
Exam 2
Handed out: Friday, 10/26/07 READ CAREFULLY AND WORK ON ALL PROBLEMS. Justify your answers. If you get stuck to a problem, move on to another one. Cross out what is not part