C. Heckman test 2 Question and
answers already passed 2025/2026
Arc Length: f(x) - correct answer ✔=∫√(1+(dy/dx)²) dx
from start to end of x
Arc Length: f(y) - correct answer ✔=∫√(1+(dx/dy)²) dy
from start to end of y
Formula for the work of pumping out water - correct answer ✔W= ∫g*p*(area of crossection)(distance
liquid is moving) dy
g= 9.81
p= 1000
Cylindrical shells around x-axis - correct answer ✔2π∫y*(right-left) dy
cylindrical shells around y-axis - correct answer ✔2π∫x*(top-bottom) dx
work - correct answer ✔W= force * distance
W=∫ƒx dx