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UNIT
12 :
PARAMETRIC EQUATIONS AND POLAR COORDINATES
LESSON
1: PARAMETRIC EQUATIONS DEFINED
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-2 |
-2 + 1 = -1 |
2(-2)2 + 3=11 |
(-1, 11) |
-1 |
-1 + 1 = 0 |
2(-1)2 + 3 = 5 |
(0, 5) |
0 |
0 + 1 = 1 |
2(0)2 + 3 = 3 |
(1, 3) |
1 |
1 + 1 = 2 |
2(1)2
+ 3 = 5 |
(2, 5) |
2 |
2 + 1 = 3 |
2(2)2
+ 3 = 11 |
(3, 11) |
3 |
3 + 1 = 4 |
2(3)2
+ 3 = 21 |
(4, 21) |
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0 |
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(0, 7) |
1 |
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(65.0,28.5) |
2 |
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(129.9,18) |
2.5 |
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(162.4,0.75) |
4 |
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5 |
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From the table, after 1 second the ball has traveled 65 ft. horizontally and is 28.5 ft high. After 2 seconds it has traveled approximately 129.9 ft horizontally and
Is 18 ft. high. After 2.5 seconds the ball has traveled approximately 162.4 ft horizontally and is 0.75 ft above ground.