Answer:
Volume of prop = 706.5 in³
Step-by-step explanation:
Given:
Radius = 5 in
Height = 17 in
Find:
Volume of prop
Computation:
Volume of prop = Volume of cone + Volume of hemi-sphere
Volume of prop = 1/3(π)(r²)(h) + 2/3(π)(r)³
Volume of prop = 1/3(3.14)(5²)(17) + 2/3(3.14)(5)³
Volume of prop = 444.83 + 261.67
Volume of prop = 706.5 in³
A critical point is just where a graph's slope is = to 0, so you can take the derivative of that function and set it equal to 0.
Using the chain rule:
f'(x) = 5(x-10)^4
0 = 5(x-10)^4
divide by 5 on both sides and take the 4th root of both sides.
0 = x - 10
add ten on both sides, and x = 10. Now, plug the x-value back into the original (you want to find the y-value on the original function ,not the derivative).
y = (10-10)^5 = 0
(10,0)
Your answer is that last one 8 3/4
You can write 1 + -1 as 1 + 1
1 - -1 can be written as 1 +1
The zero of a function is the x-value where the function crosses the x-axis. With a graph, it is easier often to just look at where the function crosses the x-axis instead of calculating it mathematically.
