Question

Find the exact length of the curve.

* x* = 4 +
12

please give answer with radicals. cannot have decimals.

Answer #1

Find the exact length of the curve.
Part A
x = 4 + 12t2, y = 7 + 8t3 , 0 ≤ t ≤ 1
Find the exact length of the curve.
Part B
x = et - 9t, y = 12et/2 , 0 ≤ t ≤ 2

Find the exact length of the curve.
x = 9 +
12t2, y
= 2 + 8t3, 0 ≤
t ≤ 5

Find the exact length of the curve.
x = 5 +
12t2, y
= 8 + 8t3, 0 ≤
t ≤ 5

Find the exact length of the curve.
y2 = 4(x + 3)3, 0 ≤ x ≤
1, y > 0

Find the exact length of the curve. x = 8 + 9t2, y = 3 + 6t3, 0
≤ t ≤ 5
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by both eliminating the parameter and without eliminating the
parameter. x = 6 + ln(t), y = t2 + 1, (6, 2) y =
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y = ln(sec x), 0 ≤
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What are the differnce's between the graphs?
Please show work.

Find the length of the curve x = 3t^(2), y = 2t^(3) , 0 ≤ t ≤
1

Find the length of the curve
1) x=2sin t+2t, y=2cos t, 0≤t≤pi
2) x=6 cos t, y=6 sin t, 0≤t≤pi
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Find the exact area of the surface obtained by rotating the
curve about the x-axis.
A. y = sqrt(1+ex ) , 0 ≤ x ≤ 3
B. x = 1/3(y2+2)3/2 , 4 ≤ x ≤ 5

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