the average growth rate per month is 6 inches (15 centimeters)
just divide by 12 after you convert the CM into IN
1. Let be the three points of intersection, i.e. the solutions to . They are approximately
Then the area is
since over the interval we have , and over the interval we have .
2. Using the washer method, we generate washers with inner radius and outer radius . Each washer has volume , so that the volume is given by the integral
3. Each semicircular cross section has diameter . The area of a semicircle with diameter is , so the volume is
4. is continuous and differentiable everywhere, so the the mean value theorem applies. We have
and by the MVT there is at least one such that
for integers , but only one solution falls in the interval when , giving
5. Take the derivative of the velocity function:
We have when . For , we see that , while for , we see that . So the particle is speeding up on the interval and slowing down on the interval .
Answer:
WATER IS not wet
Step-by-step explanation:
Water is NOT wet by itself, however it makes other materials wet when it sticks to the surface of them.
So the easiest method that can be used would be substitution. This is what you do...
Plug in the y-value into the second equation.
-4x + 3(x - 4) = -3
Distribute.
-4x + 3x - 12 = -3
Combine like-terms.
-1x - 12 = -3
Add 12 to both sides to isolate the variable.
-1x = 9
Divide.
x = -9
Now we need to find the y-value.
Plug in x with -9 in the first equation.
y = x - 4
y = -9 - 4
y = -13
So your solution is (-9, -13)
I hope this helps love! :)