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Student Solutions Manual Chapter 14 Vector Analysis
  • Exam (elaborations)

    Student Solutions Manual Chapter 14 Vector Analysis

  • 14.1 Introduction and Vector Fields Thinking Back Work as an integral of force and distance Since work is the application of force through a distance, the work is (using integration by parts with u = x and dv = sin x dx) Z π/2 0 x sin x dx = [−x cos x] π/2 0 + Z π/2 0 cos x dx = 0 + [sin x] π/2 0 = 1. Vector geometry . Since F(x, y, z) = z(x − y) 2 i + √y j + k, we have F(3, 3, √ 13) = √ 13(3 − 3) 2 i + √ 3j + k = D 0, √ 3, 1E . The norm of this...
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