Please give me answer very fast in 5 min sin Consider the parametric curve r(t)=(t cost, tsin t, t).(a) Use traces to sketch the surface z² x² + y². What sort of shape is this?(b) Show that the graph of r(t) lies on this surface. Trace the curve's path on the surface.(c) Find the tangent vector to this curve at t = π. What is its magnitude?(d) Find the unit tangent vector at t = π.

We consider the parametric curve r(t) = (t cost, t sint, t).(a) Use traces to sketch the surface z²…

Consider the parametric curve r(t) = (t cost, tsint, t). x² + y². What sort of shape is this? (a) Use traces to sketch the surface z² (b) Show that the graph of r(t) lies on this surface. Trace the curve's path on the surface. (c) Find the tangent vector to this curve at t = T. What is its magnitude? -

Consider the parametric curve r(t) = (t cost, tsint, t). x² + y². What sort of shape is this? (a) Use traces to sketch the surface z² (b) Show that the graph of r(t) lies on this surface. Trace the curve's path on the surface. (c) Find the tangent vector to this curve at t = T. What is its magnitude? -

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

See similar textbooks