Answer:
The diagram of the question is missing, I found a matching diagram, and it is attached to this answer
The 3D object produced is a cone with height 8 and diameter 8 (radius 4)
Step-by-step explanation:
A 3 dimensional solid figure can be formed when a 2 dimensional object is rotated about a line without displacing the object.
when the object in the diagram is rotated about line m, the rotation forms an object with a circular base of diameter 8 units (radius 4) from the base of the triangle and height 8 units, and the 3D object formed is called a cone.
Answer:
4 times.
Step-by-step explanation:
16/4 = 4.
Hope this helped!
the average rate of change is just the slope from (0,f(0)) to (1,f(1))
find f(0) and f(1)
slope from (0,3) to (1,3) is rise/run=(3-3)/(0-1)=0/-1
the average rate of change from x=0 to x=1 for f(x) is 0
Answer:
SO THE 1309 IS THE NEW 1 1(239) THE ANSWER OF THAT IS IN THE LINK MP MODULE .COM
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
