Answer:
-1.25, -1/4, -1/8, 0.125
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:
90, 91 and 92
Step-by-step explanation:
Given
Consecutive integers = 273
Required
Find the integers
The question seem to be incomplete. However, I'll assume we're dealing with sum.
Let the smallest integer be y.
So,
y + y + 1 + y + 2 = 273
Collect like terms.
y + y + y = 273 - 2 - 1
3y = 270
Divide both sides by 3
y = 90
Hence, the integers are 90, 91 and 92
Answer:
B
Step-by-step explanation:
He also is a point guard and has shoe game.
Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:

And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:

So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :

So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
