4a - 3b
4(5) - 3(- 2)
20 + 6
26
26 is your answer.
(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:
739
Step-by-step explanation:
a sub 92 = 11 + (92 - 1) * 8
a sub 92 = 11 + 728
a sub 92 = 739
- Sample space = {TT, HH, TH, HT} where T is tail and H is head.
- Number of outcomes = 4
- The probability of getting two heads on tossing two coins

<u>Answer</u><u>:</u>
<u>D)</u><u> </u><u>2</u><u>5</u><u>%</u>
Hope you could understand.
If you have any query, feel free to ask.
Answer: radius r = 5.72
Height h = 4.04
Step-by-step explanation: Please find the attached file for the solution