39 . lim

40 . Tim

COS ( IT + 1 )

41 . lim

42 . Tim

sing

1 30 )

1 / 4 75 / 6

43 - 44 A particle moves along a straight line with equation of

motion

(0 . where's is measured in meters and I in second

onas

Find the velocity and the speed when I = 4

43 . f ( 1 ) = 80 1 - 6

4 4 . f ( 1 ) = 10 +

45 . A warm can of soda is placed in a cold refrigerator . Sketch

the graph of the temperature of the soda as a function of time

Is the initial rate of change of temperature greater or less than

the rate of change after an hour ?

46 . A roast turkey is taken from an oven when its temperature

ratur

has reached 185 F and is placed on a table in a room where

the temperature is 75 F . The graph shows how the tempera -

ure of the turkey decreases and eventually approaches room

temperature . By measuring the slope of the tangent estimate

the rate of change of the temperature after an hour .

I (F )

200

100

30 60 90 120 150 1 ( min )