(10 pts) Let γ = [1, 2] + α + [2i, i] − β where α(t) = 2e it, and β(t

Name: Doubtrix
Address: 65, Gayatri Nagar-B, Maharani Farm, Jaipur, Rajasthan, 302018, India
Telephone: +91-6367441917
Price range: $3-$10
Rating: 5

Question

Notify Me Bookmark

(10 pts) Let γ = [1, 2] + α + [2i, i] − β where α(t) = 2e it, and β(t) = e it for 0 ≤ t ≤ 5π/2. Decide if γ ∼ 0 in the following sets. (a) C∖[0, 1/2]; (b) C∖{2 1/3 + i2 1/3}

Image text

(10 pts) Let $γ = [1, 2] + α + [2 i, i] - β$ where $α (t) = 2 e^{i t}$ , and $β (t) = e^{i t}$ for $0 \leq t \leq 5 π / 2$ . Decide if $γ \sim 0$ in the following sets.
(a) $C ∖ [0, 1 / 2]$ ;
(b) $C ∖ {2^{1 / 3} + i 2^{1 / 3}}$