114exam3wans - Math 114 Rimmer Exam 3 Spring 2015 1 Find...

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Math 114 – Rimmer Spring 2015 Exam 3 1. Find the volume of the solid pictured below: a) 4 b) 3 c) 2 d) 1 e) 1 3 f) 2 5 g) 1 2 h) 1 4 2. Evaluate ( ) 2 2 4 1 3/2 2 2 0 0 0 x x y dzdydx - + ∫ ∫ ∫ a) 7 2 π b) 3 π c) 15 4 π d) 12 5 π e) 13 3 π f) 14 5 π g) 4 π h) 16 5 π 3. Evaluate 3sec 2 4 2 0 arctan(1/3) 0 sin d d d π φ π ρ φ ρ φ θ ∫ ∫ ∫ a) 0 b) π c) 2 π d) 3 π e) 4 π f) 6 π g) 8 π h) 12 π
Math 114 – Rimmer Spring 2015 Exam 3 4. Evaluate 2 4 R y dA x ∫∫ where 2 2 2 2 1 1 is the region bounded by the graphs , , , and . 2 2 R y x y x x y x y = = 2 2 Let and . x y u v y x = = = = h) 1 4
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5. Find the work done by the force field ( ) y y z z e xe e ye = + + + F i j k on a particle as it moves along the helix given by ( ) cos sin 2 t t t t = + + r i from the point ( ) ( ) 1,0,0 to 0,1, π j k . e π -
6. Evaluate C ydx zdy xdz + + where C is the line segment from ( ) ( ) 0,0,0 to 6,8,5 . f) 55
Math 114 – Rimmer Spring 2015 Exam 3 7. Determine the value of the line integral
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