I'll assume that's an exponent at the end there:
The first derivative gives the velocity. The second derivative gives the acceleration; increasing velocity is the same as positive acceleration. So we want to find when the second derivative is positive.
Let's see if we can use 
to avoid multiplying this out.
That worked; let's do it again:
That's a nice parabola. It's zero or negative for 
so positive everywhere else:
Answer: Increasing velocity when t < 1 or t > 3
Circumference of a circle
C = 2 * pi * r
r would be 5.5
Thus
C = 34.56
Answer:
4:30 pm
Step-by-step explanation: 33/2 is 16 1/2 cause 2 goes into 33 16 times with 1 left over two equals half so 16 and 1/2 hours is 4:30 pm
Answer:
3 7/18
Step-by-step explanation:
2 1/6 + 1 2/9 (- cancels with the - to give us +)
Convert to simple fraction: 13/6 +11/9
Find the common denominator: 13x 3/6x3 + 11 x 2/9 x 2
39/18 + 22/18
Now that the denominators are same, conduct the given operation.
39 + 22/ 18
61/18
Convert into mixed fraction: 3 7/18
Final answer: 3 7/18
<u>Slope-Intercept:</u>
y + 3 = 6(x + 2) - 3
y + 3 = 6x + 12 - 3
<u> -3 </u> <u> -3 </u>
y = 6x + 12
<u>Standard:</u>
y = 6x + 12
<u>-6x </u> <u>-6x </u>
-6x + y = 12
-1(-6x + y = 12)
6x - y = -12
<u>Graph:</u>
y = 6x + 12
↓ ↓
↓ y-intercept
slope
Start by graphing the y-intercept: (0, 12)
Then count the rise (up 6) and the run (right 1) from the y-intercept: (1, 18)
or
count the rise (down 6) and the run (left 1) from the y-intercept: (-1, 6)
