write my assignment 17638

I(t) = −0.005t3 + 0.12t2 − 0.01t + 190    (0 ≤ t ≤ 14),

t

(a) Use the model to estimate the monthly inflation rate in March 2005 (t = 6). [Recall that the inflation rate is I'(t)/I(t).]

 (Round your answer to three decimal places.)

 %

(b) Was inflation slowing or speeding up in March 2005?

slowing down

speeding up

(c) When was inflation speeding up? When was inflation slowing? HINT [See Example 3.] (Use the model to determine this.)

Inflation was speeding up prior to 

 —Select— January February March April May June July August September October November

 2005 and slowing after 

 —Select— January February March April May June July August September October November

 2005.

The following graph shows the approximate value of the U. S. Consumer Price Index ( CPI ) from September 2004 through November 2005 .| ( t )[FI Sep 20.04_ Nov 201 15202,200198195194192190188 1O24810 12 14Jan – 175Nov – 215The approximationg curve shown on the figure is given by[ (t ) = – 0. 005+ + 0. 121 – 0. 01t + 190 ( 0 = = = 1 4 ),where I is time in months since the start of September 2004 .( a ) Use the model to estimate the monthly inflation rate in March 2005 ( = = 6 ) . [ Recall that the inflation rate is !’ (ty / I(t ) . I ( Round your answer to three decimal places . )( b ) Was inflation slowing or speeding up in March 2005 ?)O’ slowing downO speeding Up( C ) When was inflation speeding up ? When was inflation slowing ? HINT [SEE Example 3 . ] ( Use the model to determine this . "Inflation was speeding up prior to| _ _ _ Select _ _ _*$ 2005 and slowing after| _ _ _ Select- – -$ 2005 .