Answered: A) N = (0,4 cos u, 2 sin u) %3D B) N =…

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A) N = (0,4 cos u, 2 sin u) %3D B) N = (0, –4 cos u, –2 sin u) C) N = (1,0,0) D) N = (0, –2 sin u, 4 cos u)

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 446RE: The half-life of radioactive iodine is 60 days. How much of a 50 mg sample will be left in 40 days?

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Question

Consider the parametrization r (u, v) = (v, 2 cos u, 4 sin u), with u ∈ [0, π/2] and v ∈ [1, 3], which describes the surface S represented in the following graph:

the figure is in the first attached image

A normal vector to the surface S, with the orientation given in the previous graph, corresponds to:

the answers are in the second image

A) N = (0,4 cos u, 2 sin u)
%3D
B) N = (0, –4 cos u, –2 sin u)
C) N = (1,0,0)
D) N = (0, –2 sin u, 4 cos u)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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