101-2003&amp;2004-3-M20-July2004ns

# 101-2003&amp;2004-3-M20-July2004ns - loosing shape at a...

This preview shows page 1. Sign up to view the full content.

J ~, Kuwait University Math 101 Date: July 22, 2004 Dept. of Math. COIUp. Sci. Second Exan1. Duration: 75 minutes Calculators, mobile phones, pagers and all other mobile communication equipment are not allowed 1. Use differentials to approximate vTI +.yD. (3 pts.) 2. If 2 (u - 1) y = u2 + 1 dy 7r and u = sec2 x + 1, then find - at x = -. dx 4 (4 pts.) 3. Find an equation for the tangent line to the graph of y2 = x3y2 - xsiny at the point P(l,7f). 4. (a) State Rolle's Theorem. (b) Show that f (x) = x4 + 2X2 - 3x + 1 has exactly one critical number. (4 pts.) (1 pt.) (4 pts.) 5. A cone of ice Crealll whose altitude is three times its base radius, is melting, without
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: loosing shape, at a rate of 0.3 cm3/min. Find the rate at which its altitude is changing \vhen its radius is 2 em. . (4 pts.) 6. Let f(x) = x3-6x2 + 9x-4. (a) Find the intervals on which f is increasing and the intervals on which f is decreasing. Find the local extrema of f, if any. (1.5 pt.) (b) Find the intervals on which the graph of f is concave upward and the in-tervals on which the graph of f is concave downward. Find the points of inflection, if any. (1.5 pt.) (c) Sketch the graph of f. (2 pts.)...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online