(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:
r=0
Step-by-step explanation:
7r-5r+8=9r+8-r
This is already an equation
Combine like terms
2r+8 = 8r+8
Subtract 2r from each side
2r-2r +8 = 8r-2r +8
8 =6r+8
Subtract 8 from each side
8-8 = 6r+8-8
0 = 6r
Divide by 6
0/6 = 6r/6
0 =r
True. College graduates often spend more money on lottery tickets than those with only a high school education, hoping to win big to pay off student loans. Hope this helps!
The answer is 19 degrees F.
15 - (-4) = 19
