# HW05 - Munoz(gm7794 – HW05 – Radin –(54915 1 This...

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Unformatted text preview: Munoz (gm7794) – HW05 – Radin – (54915) 1 This print-out should have 21 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the bounded area enclosed by the graph of f ( x ) = 6 x- x 2 and the x-axis. 1. Area = 36 sq.units 2. Area = 35 sq.units 3. Area = 37 sq.units 4. Area = 34 sq.units 5. Area = 33 sq.units 002 10.0 points Find the area enclosed by the graphs of f ( x ) = 1 2 sin x , g ( x ) = 1 2 cos x on [0 , π ]. 1. area = 4 √ 2 2. area = 2( √ 2 + 1) 3. area = 2 √ 2 4. area = 4( √ 2 + 1) 5. area = √ 2 + 1 6. area = √ 2 003 10.0 points Find the total area, A , of the bounded re- gion in the first and fourth quadrants enclosed by the graphs of f ( x ) = 6 x 2- 4 x- 2 , the x-axis, and the line x = 2. 1. A = 15 2 sq.units 2. A = 8 sq.units 3. A = 9 sq.units 4. A = 7 sq.units 5. A = 17 2 sq.units 004 (part 1 of 3) 10.0 points The shaded region in is bounded by the graphs of f ( x ) = 1 + x- x 2- x 3 and g ( x ) = 1- x. (i) Find the x-coordinates of all the points of intersection of the graphs of f and g . 1. x =- 1 , , 1 / 2 2. x =- 2 , , 1 3. x =- 2 , , 3 / 2 4. x =- 3 , , 2 5. x =- 3 , , 1 Munoz (gm7794) – HW05 – Radin – (54915) 2 005 (part 2 of 3) 10.0 points (ii) Set up the definite integral determining the area of this shaded region....
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HW05 - Munoz(gm7794 – HW05 – Radin –(54915 1 This...

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