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
Answer:
I'm 100% sure it's 50.
Step-by-step explanation:
Answer:
standard deviation is a quantity calculated to indicate the extent of deviation for a group as a whole.
Residual analysis is used to assess the appropriateness of a linear regression model by defining residuals and examining the residual plot graphs.
Step-by-step explanation:
3.
x = 3 because the 2 legs of 45-45-90 triangle are equal
y^2 = 3^2 + 3^2 = 18
y = sqrt 18 = 3 sqrt2
