an onine SOcial group nad 3o0 miion Tme uently, new me m(t) = -3.3t2 + 14t + 230 million members per year (0 sts 5), where t is time in years since the start of 2010. (a) Find an expression for the total online social group membership M(t) at time t. HINT [See Example 6.] M(t) = (b) Use the answer to part (a) to estimate the online social group membership midway through 2012. (Round your answer to the nearest 1 million members.) M(2.5) = million members

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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At the start of 2010, an online social group had 360 million members. Subsequently, new members joined at a rate of roughly
m(t) = -3.3t² + 14t + 230 million members per year
(0 <t< 5),
where t is time in years since the start of 2010.
(a) Find an expression for the total online social group membership M(t) at time t. HINT [See Example 6.]
M(t)
%D
(b) Use the answer to part (a) to estimate the online social group membership midway through 2012. (Round your answer to the nearest 1 million members.)
M(2.5) =
million members
Transcribed Image Text:At the start of 2010, an online social group had 360 million members. Subsequently, new members joined at a rate of roughly m(t) = -3.3t² + 14t + 230 million members per year (0 <t< 5), where t is time in years since the start of 2010. (a) Find an expression for the total online social group membership M(t) at time t. HINT [See Example 6.] M(t) %D (b) Use the answer to part (a) to estimate the online social group membership midway through 2012. (Round your answer to the nearest 1 million members.) M(2.5) = million members
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