(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:
It is the second picture.
Step-by-step explanation:
Step-by-step explanation:
(a): 5x^2 + 25 = 5 * x^2 + 5 * 5 = 5(x^2 + 5).
(b): 2x^2 - 3x - 2 = 2x^2 - 4x + x - 2
= 2x(x - 2) + 1(x - 2) = (2x + 1)(x - 2).
There are 1000ml in a liter of water, so depending on how many ml the regular bottles or glasses have, do
x=ml in regular bottles or glasses of water
b= how many regular bottles or glasses of water there would be in a liter of water
1000/x=b
Answer:
She got 7 correct in multiple choice and 24 out of T/F
