(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:
<h2>Basic numbers</h2><h3>Numbers up to nine should always be written in words, anything higher than nine can be written in numerals. Alternatively, some guides suggest that if you can write the number in two words or fewer then use words rather than number.</h3>
<h2>hope it's helpful for u !!</h2>
<h2> stay safe ...</h2>
Answer:
28 short race volunteers
76 long race volunteers
Step-by-step explanation:
Let :
Short races = a
Long races = b
LAST YEAR:
7a + 8b = 804 - - - - (1)
THIS YEAR:
11a + 5b = 688 - - - (2)
Multiply (1) by 5 and (2) by 8
35a + 40b = 4020
88a + 40b = 5504
Subtract
-53a = - 1484
a = 1484 / 53
a = 28
Put a = 28 in equation (1)
7(28) + 8b = 804
196 + 8b = 804
8b = 804 - 196
8b = 608
b = 76
28 short race volunteers
76 long race volunteers
Answer:
Multiplacation
Step-by-step explanation:
It is the multiplacation roperty pbecauseyou are multipyling 10 times x and 3.
The correct first step to solving the system of equations in the most efficient manner is x = -4y +19.
The given system of equations is;
<h2>What is the first step to solving an equation?</h2>
The first step would be to rearrange the variables in the second equation so we have a defined expression for x.
We would want to do this so we could then plug in the defined expression for x into the other equation and solve for the other variable.
x + 4y = 19
Rearrange this by getting the 4y to the other side.
We can get 4y on the other side by subtracting 4y from both sides
x + 4y - 4y = 19 - 4y
x = -4y + 19
Hence, the correct first step to solving the system of equations in the most efficient manner is x = -4y +19.
To know more about the System of equations click the link given below.
brainly.com/question/15240525
