1) An ostrich runs along a mountain path with coordinates given by r(t) =< et, e-t, √2 t> a) What is the change in the ostrich's altitude (z-direction) from t=0 to t=10? b) What is the ostrich's speed in the x-direction when t=4? c) What is ostrich's speed in the y-direction when t=4? d) Find a formula for the total distance travelled by the ostrich from t=0 to t=4

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
Problem 4E: Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of...
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1) An ostrich runs along a mountain path with coordinates given by
r(t) =< et, e-t, √2 t>
a) What is the change in the ostrich's altitude (z-direction) from t=0 to
t=10?
b) What is the ostrich's speed in the x-direction when t=4?
c) What is ostrich's speed in the y-direction when t=4?
d) Find a formula for the total distance travelled by the ostrich from t=0
to t=4.
Transcribed Image Text:1) An ostrich runs along a mountain path with coordinates given by r(t) =< et, e-t, √2 t> a) What is the change in the ostrich's altitude (z-direction) from t=0 to t=10? b) What is the ostrich's speed in the x-direction when t=4? c) What is ostrich's speed in the y-direction when t=4? d) Find a formula for the total distance travelled by the ostrich from t=0 to t=4.
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