3. (a) The velocity of a moving object after t seconds is given per second. Calculate the displacement of the object be t= 4 seconds.

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.
Chapter7: Integration
Section7.2: Substitution
Problem 18E: Use substitution to find each indefinite integral. 4xx2+3dx
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3. (a) The velocity of a moving object after t seconds is given by v(t) = 5t – 9 metres
per second. Calculate the displacement of the object between t = 1 seconds and
t = 4 seconds.
(b) Find the distance the object has travelled over the time interval t = 1 seconds to
t = 4 seconds.
Transcribed Image Text:3. (a) The velocity of a moving object after t seconds is given by v(t) = 5t – 9 metres per second. Calculate the displacement of the object between t = 1 seconds and t = 4 seconds. (b) Find the distance the object has travelled over the time interval t = 1 seconds to t = 4 seconds.
4. (a) Use substitution to calculate the definite integral / (3x – 6)* dx.
(b) Use substitution to calculate the definite integral
sec (z) (10 + tan z)* dr.
Transcribed Image Text:4. (a) Use substitution to calculate the definite integral / (3x – 6)* dx. (b) Use substitution to calculate the definite integral sec (z) (10 + tan z)* dr.
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