MATH 215 MIDTERM EXAM SCRIPT EXAMS
SET VIEW AHEAD EXAM 2026 100%
CORRECT.
◍ Symmetric Equations - (x-x₀)/a = (y-y₀)/b = (z-z₀)/c :: (solve for t,
equate)
◍ Equation of a Plane - a(x - x₀) + b(y - y₀) + c(z - z₀) = 0
or Ax + By + Cz + D = 0
◍ General Equation of an Ellipsoid - x²/a² + y²/b² + z²/c² = 1
◍ Cone - z² = x² + y²
◍ Elliptic Paraboloid - z = x² + y²
◍ Hyperboloid of One Sheet - x² + y² - z² = 1
◍ Hyperbolic Paraboloid - z = x² - y²
◍ Hyperboloid of 2 sheets - -x² - y² + z² = 1
SET VIEW AHEAD EXAM 2026 100%
CORRECT.
◍ Symmetric Equations - (x-x₀)/a = (y-y₀)/b = (z-z₀)/c :: (solve for t,
equate)
◍ Equation of a Plane - a(x - x₀) + b(y - y₀) + c(z - z₀) = 0
or Ax + By + Cz + D = 0
◍ General Equation of an Ellipsoid - x²/a² + y²/b² + z²/c² = 1
◍ Cone - z² = x² + y²
◍ Elliptic Paraboloid - z = x² + y²
◍ Hyperboloid of One Sheet - x² + y² - z² = 1
◍ Hyperbolic Paraboloid - z = x² - y²
◍ Hyperboloid of 2 sheets - -x² - y² + z² = 1
