MATH 103 Final: MATH 103 UPenn 103Finalshrtform11a Exam
Document Summary
2 h h (cid:2) (cid:4) (cid:6: 2 , 2, 1 . 0 h: 1, let, 0, does not exist. f x ( ) 2 ln , for x x. 2: 2, 0, 2 ln 2 2, 1, ln 2, find the local minimum value of f x. 3: 4, find the value of dy dx at the point ( Spring 2011: find an equation of the line tangent to f x e= sin 2 x. 0 cos ( ) 2 x e x y x. 1y = y sin 2 x e cos 2 x. 2: find the equations of all horizontal and vertical asymptotes to the curve f x x. 2 (choose the answer that has all the correct lines) x. Find the number c satisfying the conclusion of the. 5 x f x (cid:7) (cid:8) (cid:9) (cid:8) (cid:10) x. Find the height of the barrel that can be constructed at a minimum cost: let.
