Advanced Engineering Mathematics, 7th Edition

9 Chapter in Review Answers to selected odd-numbered problems begin on page ANS-26.

Answer Problems 1–20 without referring back to the text. Fill in the blank or answer true/false. Where appropriate, assume continuity of P, Q, and their first partial derivatives.

1. A particle whose position vector is r(t) = cos ti + cos tj + sin tk moves with constant speed.
2. The path of a moving particle whose position vector is r(t) = (t² + 1)i + 4j + t⁴k lies in a plane.
3. The binormal vector is perpendicular to the osculating plane.
4. If r(t) is the position ...