Answer:
L ≈ 1023.0562
Step-by-step explanation:
We are given;
x = t² - 2t
dx/dt = 2t - 2
Also, y = t^(5)
dy/dt = 5t⁴
The arc length formula is;
L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt
Where α and β are the boundary points. Thus, applying this to our question, we have;
L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt
L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt
L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt
Using online integral calculator, we have;
L ≈ 1023.0562
5 1/2 - 3 1/4
11/2 - 13/4
22/4 - 13/4 = 9/4
your answer is 2 1/4
hope this helps
Answer:
vertex:(2,-4)
Focus:(2,- )
Axis of symmetry :x=2
Directrixt: y=-
Step-by-step explanation:
Answer:
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