calculus 3 study guide 1
calculus 3 study guide 1 Math 2850-003
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This 4 page Study Guide was uploaded by Erika Scholl on Sunday September 25, 2016. The Study Guide belongs to Math 2850-003 at University of Toledo taught by Jeongoo Cheh in Winter 2016. Since its upload, it has received 15 views. For similar materials see Elementary multivariable Calculas in Math at University of Toledo.
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Date Created: 09/25/16
Calculus 3 study guide 1 chapter 12.6-14.7 FORMULAS Cylinder: AX^2 + BY^2 + CZ^2 +DZ = E Elliptical (Paraboloid) Vectors: r(t) = f(t)I + g(t)j +h(t)k Derivative: r’(t) = (df/dt)I + (dg/dt)j + (dh/dt)k Velocity = v = dr/dt Speed = |v| Acceleration = a = (dv/dt) = (d^2r/dt^2) Direction = v/|v| Indefinite Integral: r(t) dt = R(t) + C Arc Length Paraboloid: z = x^2 + y^2 Hyperbolic paraboloid: z = x^2 – y^2 PARTIAL DERIVATIVES SECOND ORDER DERIVATIVES CHAIN RULE Implicit Differentiation Gradient Tangent Planes X(t) = x + At Y(t) = y + Bt Z(t) = z + Ct LOCAL MIN and MAX Inconclusive when = 0.
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