Previous answers the location of an object moving

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7. 9/9 points | Previous Answers The location of an object moving along the number line at time t seconds is given by where t is assumed to be non­negative. (a) Calculate the limit; enter the number, ­infinity, infinity or DNE (does not exist): d ( t ) = 100 9 + 4 sin( t )
. (b) The average velocity on the time interval [pi/2,pi] is $$21009−10013π . (c) The instantaneous velocity v(t) = $$−100(4 cos ( t ))(9+4 sin ( t ))2 . (d) v(pi) = $$40081 .
(e) At time t=pi , is the object moving RIGHT or LEFT?
(Write answer in caps.) (f) On the time interval [4,15], what is the first time when the velocity of the object is zero?
(g) On the time interval [4,15], what is the last time when the velocity of the object is zero?
(h) On the time interval [4,15], what is maximum distance from the origin to the object?
(i) On the time interval [4,15], what is minimum distance from the origin to the object?
8. 4/4 points | Previous Answers The graphs of the quadratic functions f ( x ) = 6 – 10 x 2 and g ( x ) = 8 – ( x – 2) 2 are provided below. Observe there are TWO lines simultaneously tangent to both graphs. (a) The line simultaneously tangent to both graphs having the LARGEST slope has equation: (Two decimal places of accuracy.)
(b) The other line simultaneously tangent to both graphs has equation:(Two decimal places of accuracy.)

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