question archive Consider the following position functions r and R for two objects

Consider the following position functions r and R for two objects

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Consider the following position functions r and R for two objects.

a. Find the interval? [c,d] over which the R trajectory is the same as the r trajectory over? [a,b].

b. Find the velocity of both objects.

c. Graph the speed of the two objects over the intervals? [a,b] and? [c,d], respectively.

Bold r left parenthesis t right parenthesis

 

r(t)= left angle cosine t comma 2 sine t right angle

 

cost,2sint?, ?[a,b]=?[0,2pi

 

π?]

Bold Upper R left parenthesis t right parenthesis

 

R(t)

equals

 

=

left angle cosine 4 t comma 2 sine 4 t right angle

 

cos4t,2sin4t on? [c,d]

pur-new-sol

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