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
1 2/3 miles is the answer.
I think you meant 1/10
6 + 4 = 10 1 mile 4/6 = 1 2/3
Hope I beecome the brainliest
Answer:
4308
Step-by-step explanation:
start by splitting 12 into 10 and 2
do 359 x 10 + 359 x 2
359x10= 3590
359x2= 718
3590+718=4308
