Recent content by iosa31

  1. I

    Volume of hyperboloid -x² - y² + z² = 1 enclosed by z = 2

    Oops, I just realized the integral should be ∫∫(2 - √(1 + r^2))rdrdθ, not ∫∫r√(1 + r^2)drdθ. Sorry about that.
  2. I

    Volume of hyperboloid -x² - y² + z² = 1 enclosed by z = 2

    Homework Statement Use polar coordinates to find the volume of the given solid. Enclosed by the hyperboloid -x2 - y2 + z2 = 1 and the plane z = 2 Homework Equations r2 = x2 + y2, x = rcosθ, y = rsinθ ∫∫f(x,y)dA = ∫∫f(rcosθ,rsinθ)rdrdθ The Attempt at a Solution -x2 - y2 + 4...