MAT 113 Exam 2 with Solution, Fall 2007

NOTRE DAME UNIVERSITY MAT 113 EXAM 2 DATE: WEDNESDAY JANUARY 9, 2008 DURATION: 55 MINUTES SECTION: ----------------- Pe Ch _— a _— GRADE: --—~+==—----____-_ gaa --__-----------__-_---_-_— — 1-(6 points) Find the function of derivative g(x) =4x° +3 and whose the point P (2, 23) JB (ger x ‘naxce liye ae Kees 23) graph passes through 3-(14 Points) Find the value or values of c that satisfy the equation £6)-f@ 2 oe (2) = f'(c) for the function f(x)=x+ = over | ZL , 2 x \ «Gea = az Con on ( o2h- = 2-1 = 12S = , Se 22% ae sig ave © = \ ae o- Cx) ) y 5-(15 Points) Find the local extreme values of the function /(x) = = x they occur. = -a.6 \ a a ) [eA I Mbs max 20. ae 6-(15 Points) Find the absolute extreme values of the function g(x) = x —3xt+4,-2<x<0. -5 pi ocat ain acl hvecl rural C2 es Abs atime, fe i” Kiel Ay bent a octeA 7 or each pf (3) e PRewe - v4 “ ff / od or 235) —_— ia (Gx) ae A ¢ =7X=_] E [-2, of 8-(17 Points) Find the area of the region bounded between the curve of f(x) =3x” + 6x and the X-axis over the interval [-3, 0 | Se Yad ! L a F = 3X Cx+2>/