# Rimmer - Midterm 3.pdf - Math 114-601 Fall 2016 Exam 3 1...

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Chapter 15 / Exercise 1
Calculus: Early Transcendental Functions
Edwards/Larson
Expert Verified
Math 114-601 Exam 3 Rimmer Fall 2016 ( ) ( ) ( ) 2 2 2 1. Compute the outward flux of curl across if 4 cos and is the upper hemisphere of 25, oriented downward. sin x y S y z e z xe S x y z = + + + + = F F i j k 2. Determine the value of the line integral C d F r where ( ) ( ) 2 2 x xy x y z   = + + +     F i j k and C is the rectangular path with vertices ( ) ( ) ( ) ( ) ( ) 0,0,2 , 0,3,2 , 4,3,2 , 4,0,2 , and 0,0,2 in that order. 3. Find the outward flux S dS ∫∫ F n of the vector field 2 2 2 2 2 2 2 2 2 x x y z y x y z z x y z = + + + + + + + + F i j k S consists of the hemisphere 2 2 2 2 1 and the unit disk in the plane 1 z x y xy x y = - - - + . a) 0 d) 2 π b) 3 π e) 8 π c) 12 π f) 16 π 4. Determine the value of the line integral C d F r where cos sin , cos y x xy x xy x x = - + F and C is the triangle ( ) ( ) ( ) ( ) from 0,0 to 2,0 to 0,4 to 0,0 . a) 17 6 b) 16 3 c) 19 3 d) 15 4 e) 13 4 f) 22 3 g) 19 4 h) None of these a) 25 π d) 100 π b) 50 π e) 120 π c) 80 π f) None of these
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The document you are viewing contains questions related to this textbook.
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Chapter 15 / Exercise 1
Calculus: Early Transcendental Functions
Edwards/Larson
Expert Verified
Math 114-601 Exam 3 Rimmer Fall 2016 5. Evaluate where C d F r 2 2 2 2 2 ,2 , 6 and is the path , 3,4 1 , 0 1 xz y xy x z C t t t t = + + = + - F r 52 h) None of these
1 7. Let ( ) ( ) ( ) 3 2 6 2 6 r t t t t = - + i j Write the acceleration vector a in the form N a T
( ) 6. Evaluate where C xydx x y dy + - ( ) ( ) ( ) ( ) consists of line segments from 0,0 to 1,0 and from 1,0 to 2,2 . C 4 3