Sketch the curve whose vector equation is Solution r t 2 cos t i 2...
50.1K
Verified Solution
Link Copied!
Question
Calculus
Sketch the curve whose vector equation is Solution r t 2 cos t i 2 sin t j 5tk The parametric equations for this curve are y 2 sin t z X Since x y 4 sin t the curve must lie on the circular cylinder x y The point x y z lies directly above the point x y 0 which moves counterclockwise around the circle x y in the xy plane The projection of the curve onto the xy plane has vector equation r t 2 cos t 2 sin t 0 See this exampl Since z 5t the curve spirals upward around the cylinder as t increases The curve shown in the figure below is called a helix 2 0 0 0 2 57
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
