I think x equals 155 I may not be right but that's what I got.
Answer:
I think the volume is 99
Step-by-step explanation: I am not sure. PLs report my answer if wrong!
For solving a question like this where you have to find a function for a particular value, just put the given number in place of the unknown variable i.e. x in this case. Lets solve this function now.
We are to solve for f(9), so we will put 9 in place of x:
f(x) = 72+4x
f(9) = 72 + 4(9)
f(9) = 72 + 36
f(9)= 108
so, your function for the value 9 is 108.
Critical points: (Maximum, minimum, and inflection points) have a slope = 0
The derivative gives the slope, take the derivative set it equal to zero
<span>f(x) = x^5 -10x^3 + 9x
derivative:
f'(x) = 5x^4 - 30x^2 + 9
0 = 5x^4 - 30x^2 + 9
use quadratic formula (or polysolver) with a=5, b=-30 and c = 9
4th degree gives 4 solutions
x = +/- √(3 - 6/√(5))
x ~ +/- 2.38
x = +/- √(3 - 6/√(5))
x ~ +/- 0.563
</span>Determine which point is the highest (maximum) and the lowest (minimum) by putting the x-coordinates back into the original equation and comparing y-values.
* You will also need to check the endpoints given as these can sometime be the max/min of the function.
Our x-values:
x = { -3, -2.38, -0.563, 0.563, 2.38, 3}
respective y-values found by inputting x's into function
y = {0, 37.03, -3.34, 3.34, -37.03, 0}
nice symmetry.. check out the graph to see the solutions are correct.
https://www.desmos.com/calculator
Maximum point (-2.38, 37.03)
Minimum point (2.38, -37.03)
576
- 252
______
324
Hope this helped:)