1 Fundamental Concepts Of Algebra 2 Equations And Inequalities 3 Functions And Graphs 4 Polynomial And Rational Functions 5 Inverse, Exponential, And Logarithmic Functions 6 The Trigonometric Functions 7 Analytic Trigonometry 8 Applications Of Trigonometry 9 Systems Of Equations And Inequalities 10 Sequences, Series, And Probability 11 Topics From Analytic Geometry Chapter11: Topics From Analytic Geometry
11.1 Parabolas 11.2 Ellipses 11.3 Hyperbolas 11.4 Plane Curves And Parametric Equations 11.5 Polar Coordinates 11.6 Polar Equations Of Conics Chapter Questions Section11.5: Polar Coordinates
Problem 1E Problem 2E Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E Problem 102E Problem 97E
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9) Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t)=(1, cos(t), 2sin(t))
Transcribed Image Text: 5-12 Sketch the curve with the given vector equation. Indicate with
an arrow the direction in which t increases.
(sin t, t)
6. r(t) = (t', t² )
7. r(t) = (1, 2 – t, 2t)
5. r(t) =
8. r(t) =
(sin Tt, t, coS īt)
9.) r(t)
(1, cos t, 2 sin t)
10. r(t) = t’i + tj + 2k
11. r(t) = t²i + t*j + t°k
12. r(t)
= cos ti – cos tj + sin t k
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases.
r(t) = t2 i + t4 j + t6 k