Assume the angle of a joint starts from 8(0) = 10 deg, 8(0) = 12 deg / sand ends at 0(2) = 45 deg, 8(2) = 0. The coefficients of a cubic path forthis motion are:

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Answered: N Assume the angle of a joint starts…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Zack's position on a Ferris wheel can be modelled by the function h(t) = 25.4sin(1.8t + 4.0) + 24.2 Where: • h(1) represents his height in metres • 1 represents the time in minutes. a) What is the maximum height of the Ferris wheel? b) What is the period of rotation of the Ferris wheel, to the nearest tenth of a minute?
V5 sin(0) = %D 5.
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Suppose you are climbing a hill whose shape is given by the equation z = 1600 – 0.005x² – 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1566). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? ascend descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)

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N Assume the angle of a joint starts from 8(0) = 10 deg, 0(0) = 12 deg / s and ends at 8(2) = 45 deg, 8(2)) = 0. The coefficients of a cubic path for