Practice test 4

# Practice test 4 - points SHOW SIGN GRAPHS FOR f ′ AND f...

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PRACTICE TEST 4 1. Find intervals on which f is increasing, decreasing; open intervals where f is concave up, concave down; and x coordinates of all inflection points; also state which points are stationary points, PONDS, and classify as relative maximum or minimum points. ( 29 2 3 2 2 f x x x x = - + - 2. GRAPH Find and show intercepts vertical and horizontal asymptotes and SHOW SIGN GRAPHS FOR f AND f ′′ : ( 29 2 4 3 x f x x - = - GIVEN: ( 29 ( 29 2 2 ; 3 f x x = - ( 29 ( 29 3 4 3 f x x ′′ = - 3. Find the absolute maximum and minimum values of ( 29 [ ] 1 sin on 0, 2 f x x x π = + 4. A rectangular field is to be bounded by fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with maximum area that can be enclosed with 800 ft of fence. MAKE A SKETCH AND LABEL ANY VARIABLES USED. 5. Graph ( 29 4 3 3 4 f x x x = + Find and plot any intercepts, relative and/or absolute extrema, inflection

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Unformatted text preview: points. SHOW SIGN GRAPHS FOR f ′ AND f ′′ 2 6. Graph ( 29 ( 29 2/3 1 f x x =-Find and plot any intercepts, relative and/or absolute extrema, inflection points. Identify any points with vertical tangents, show a sign graph for f ′ and comment on the sign of f ′′ 7. Use L’Hopital’s Rule to find the limits: BE SURE TO VERIFY THE FORM[S] a) 3 ln lim x x x →+∞ b) 1 1 ln lim 1 cos x x x x π →- + + c) lim sin ln x x x + → d) lim 1 bx x a x →∞ + 8. 1200 2 cm of material is available to make a box with a square base and open top. Find the largest possible volume for the box. MAKE A SKETCH AND LABEL VARIABLES USED 9. Find 2 positive numbers such that the sum of one number plus twice the other is 12 and the product of the 2 numbers is a maximum....
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Practice test 4 - points SHOW SIGN GRAPHS FOR f ′ AND f...

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