The position vector for a particle moving on a helix is c(t) = (5 cos(t), 5 sin(t), t²) . Find the speed s(to) of the particle at time to = 11n. (Express numbers in exact form. Use symbolic notation and fractions where needed.) s(to) = Find parametrization for the tangent line at time to = 11a. Use the equation of the tangent line such that the point of tangency occurs when t = to. (Write your solution using the form (*,*,*). Use t for the parameter that takes all real values. Simplify all trigonometric expressions by evaluating them. Express numbers in exact form. Use symbolic notation and fractions as needed.) 1(t) = Where will this line intersect the xy-plane? (Write your solution using the form (*,*,*). Express numbers in exact form. Use symbolic notation and fractions where needed.) point of intersection:
The position vector for a particle moving on a helix is c(t) = (5 cos(t), 5 sin(t), t²) . Find the speed s(to) of the particle at time to = 11n. (Express numbers in exact form. Use symbolic notation and fractions where needed.) s(to) = Find parametrization for the tangent line at time to = 11a. Use the equation of the tangent line such that the point of tangency occurs when t = to. (Write your solution using the form (*,*,*). Use t for the parameter that takes all real values. Simplify all trigonometric expressions by evaluating them. Express numbers in exact form. Use symbolic notation and fractions as needed.) 1(t) = Where will this line intersect the xy-plane? (Write your solution using the form (*,*,*). Express numbers in exact form. Use symbolic notation and fractions where needed.) point of intersection:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The position vector for a particle moving on a helix is c(t) = (5 cos(t), 5 sin(t), t² ) . Find the speed s(to) of the particle at
time to
11r.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
s(to)
Find parametrization for the tangent line at time to
11r.
Use the equation of the tangent line such that the point of tangency occurs when t = to.
(Write your solution using the form (*,*,*). Use t for the parameter that takes all real values. Simplify all trigonometric
expressions by evaluating them. Express numbers in exact form. Use symbolic notation and fractions as needed.)
1(t) =
Where will this line intersect the xy-plane?
(Write your solution using the form (*,*,*). Express numbers in exact form. Use symbolic notation and fractions where needed.)
point of intersection:
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