Answer:
C
Step-by-step explanation:
(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when
and
, and because the velocity function is continuous, you need only check the sign of
for values on the intervals (0, 3) and (3, 6).
We have, for instance
and
, which means the particle is moving the positive direction for
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

which follows from the definition of absolute value. In particular, if
is negative, then
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so
is the derivative of
:

Compute the acceleration at
seconds:

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)
Answer:
a. y = 3/2x - 12
Step-by-step explanation:
Slope is y = mx + b
Slope or m = 3/2
y-intercept or b = -12
Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12
Answer:
x<-18
Step-by-step explanation:
you divide -3 by both sides.
An estimate for the number of ducks would be 62.
There were 30 the first day.
The second day, 8 of those 30 were there as well, so we subtract that from the 40 ducks and get 32.
Add 30 and 32 to get our estimate.