3. Parametric Surfaces and Their Areas a) Determine whether the points P and Q lie on the given surface: r(u, v) = (2u + 3v. 1 + 5u - v, 2 + u + v); P(7,10,4), Q (5,22,5) b) Identify the surface with the given vector equation: r(u, v) = (u + v)i + (3 − v)j + (1 + 4u + 5v)k c) Find the curvature of r(t) = (t, t², t³) at the point (1,1,1)

3. Parametric Surfaces and Their Areas a) Determine whether the points P and Q lie on the given surface: r(u, v) = (2u + 3v. 1 + 5u - v, 2 + u + v); P(7,10,4), Q (5,22,5) b) Identify the surface with the given vector equation: r(u, v) = (u + v)i + (3 − v)j + (1 + 4u + 5v)k c) Find the curvature of r(t) = (t, t², t³) at the point (1,1,1)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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