Consider the parametric surface 𝑆:𝑟⃑(𝑢,𝑣)=〈sin𝑢cos𝑣,sin𝑢sinw
Posted: Tue Jun 07, 2022 8:35 am
Consider the parametric surface
𝑆:𝑟⃑(𝑢,𝑣)=〈sin𝑢cos𝑣,sin𝑢sin𝑣,cos𝑢〉 with 0≤𝑢 ≤ 𝜋/3, 0≤𝑣≤2𝜋. (a) Find
the scalar equation of the tangent plane to 𝑆 at the point (𝜋
4,𝜋).
Answer should be −𝑥+𝑧=√2
𝑆:𝑟⃑(𝑢,𝑣)=〈sin𝑢cos𝑣,sin𝑢sin𝑣,cos𝑢〉 with 0≤𝑢 ≤ 𝜋/3, 0≤𝑣≤2𝜋. (a) Find
the scalar equation of the tangent plane to 𝑆 at the point (𝜋
4,𝜋).
Answer should be −𝑥+𝑧=√2