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.)