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?
Transcribed Image Text:r(t) = (a+sin(kt)) êp + hêz with
(t) = wt, a,ẞ, k>0, and a >ẞ.
Transcribed Image Text:2
бл
t
11
11
10
t
11
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage