Which of the following subsets is a vector subspace in the vector space R2[r]? (a) {p V | p'(0) = 1}.(b) {pЄV | p(1) = 0}.p(0) = 1}.(c) {pЄ V(d) {pЄ V(e) {pЄ Vp(1) +1 = 0}.p'(1) ≥ 0}.

The correct option is:b){ p∈V:p(1)=0}Explanation:

Answered: (a) {p V | p'(0) = 1}. (b) {pЄV | p(1)…

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(a) {p V | p'(0) = 1}. (b) {pЄV | p(1) = 0}. p(0) = 1}. (c) {pЄ V (d) {pЄ V (e) {pЄ V p(1) +1 = 0}. p'(1) ≥ 0}.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 41CR

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Question

Which of the following subsets is a vector subspace in the vector space R2[r]?

(a) {p V | p'(0) = 1}.
(b) {pЄV | p(1) = 0}.
p(0) = 1}.
(c) {pЄ V
(d) {pЄ V
(e) {pЄ V
p(1) +1 = 0}.
p'(1) ≥ 0}.

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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