(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).)
I hope this helps you
5=7x+0.1+10x-0.2
17x=5.1
x=5.1/17
x=3/10
x=0.3
120/100 = x/15
100x = 1800 (Divide by 100 on both sides)
x = 18
Answer:
I think 14 days
Step-by-step explanation:
If 4 workers can do the task in 12 days then I should be able to complete the task in 4 time's 12 days. 6 workers should be able to complete the task in 4 times 12 divided 6.
-7x+12-2x=23+13x
First take away 13x from the right side and put it on the left side adding taking it away from -7x
-7x(-13x)=-20x
-20x+12-2x=23
then add 2x to -20x
and move 12 to the other side, minus it off of 23
-18x=11
then divide -18x on both sides
then x=-11/18
