101-2000&amp;2001-2-M20-May2001

# 101-2000&2001-2-M20-May2001 - . .,-' uwait [ath....

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· . .,-' uwait niversity [ath. Sci. Dept. Math 101 Second Exan1 I\1ay 10, 2001 Tin1e: 75 Inin. Calculators and Mobile Phones are not allowed. 1. (2 Points) Use the definition of the derivative to find 1'(1) if f(x) = .qx. 2. (2 Points) Use differentials to find an approximate value to V(2.02)3 + 1. 3. (3 Points) Let f(x) = ax2 -12x+8. Find all values of a such that the tangent line to the graph of f at x = 3 is parallel to the line y - 6x + 1 = O. 4. (3 Points)Find ~~ at x = 0 if xy + (x + y)3 = 1. 5. (3 Poi n t s) Fin d f' (t) iff ( t) = tan (vi t 2 + 1) + t ( t 2 + 1) 5 . 6. (3 Points) a) State the Mean Value Theorem. b) Use the mean value theorem to show that (l+x)~<l+~x, x > o. 7. (3 Points) A box: of a rectangular base and an open top has surface area of 600 cm2. If the height of the box is equal to its wid th, find the dimensions that give the box a maximum volume. ~ 1 . 2 ~ '-x 8. (6 Points) Let f(x) = x a) Find the vertical and horizontal asymptotes for the graph of

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## This note was uploaded on 02/23/2010 for the course CHEMISTRY 0420101 taught by Professor Dep during the Spring '10 term at Kuwait University.

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101-2000&2001-2-M20-May2001 - . .,-' uwait [ath....

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