r(t) = (a+sin(kt)) êp + hêz with (t) = wt, a,ẞ, k>0, and a >ẞ. 2 бл t 11 11 10 t 11
r(t) = (a+sin(kt)) êp + hêz with (t) = wt, a,ẞ, k>0, and a >ẞ. 2 бл t 11 11 10 t 11
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.
Chapter5: Graphs And The Derivative
Section5.2: Relative Extrema
Problem 38E
Related questions
Question
a parametric position
plots show space curves for the pos. vector
alpha = 3, beta = 1, k = 2, h = 4, and w = 1.
cylindrical vector definitions
x = p cos(phi), y = psin(phi), z = z , p = sqrt(x^2+y^2), phi = arctan(y/x)
a) find when the velocity vector r'(t) is perpendicular to the position vector (pictured)
b) simplify the answer to a) for the parameter values used to construct the space curve in the
figure. Is the result consistent with the space curve?
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