Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Chapter 9.8, Problem 3E
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To calculate:
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6. A flying robot is programed to follow the following three-dimensional position function while
navigating an open space with no wind. The displacements in x, y, and z are measured in meters
and t in seconds.
x(t) = 0.0560t* – 1.200t² + 2.300t + 0.3400
y(t) = 0.6700t3 – 1.570t²
z(t) = 0.2200t³
(a) At t = 1.44 s, what angle does the robot's velocity
vector, v, make with its acceleration vector, å?
Os
3)
2
Sketch the level curve of the function f(x, y) = y - x² for c= -2,0, 2.
4.34. Evaluate f (x² - y²) dz along (a) the parabola y = 2x² from (1, 2) to (2, 8), (b) the straight lines from (1, 1)
to (1, 8) and then from (1, 8) to (2, 8), (c) the straight line from (1, 1) to (2, 8).
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Advanced Engineering Mathematics
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