1) An ostrich runs along a mountain path with coordinates given by r(t) =< et, e-t,√√2t> ( 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?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter20: Ratio And Propor Tion
Section: Chapter Questions
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1) An ostrich runs along a mountain path with coordinates given by
r(t) =<et, e-t, √2t> (
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, √2t> ( 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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