Hi
I'm Having a problem with a question in the application of the maximum and minimum (derivative)
I want to prove that the height = 3
and i had this relation ===> H = h + r
and h = - 2r !
I'm sure that (H) = 3 r
But I Can't get the answer of (h) in positive ... so can I use absolute Value ?
so that
abs( h = -2r)===> h = 2r ===> H = 3r
?????
To prove that height (H) is equal to 3, given the relation H = h + r and h = -2r, we can follow these steps:
1. Start with the relation H = h + r.
2. Substitute the value of h from the second equation (-2r) into the first equation.
H = (-2r) + r
3. Simplify the equation by combining like terms.
H = -r
4. Since we want to find the value of H, we can use the given information that H = 3r.
Substitute 3r for H in the equation.
3r = -r
5. To solve for r, we need to isolate r on one side of the equation.
Add r to both sides.
3r + r = 0
4r = 0
6. Divide both sides of the equation by 4 to solve for r.
r = 0
7. Now that we have the value of r, we can substitute it back into the equation H = 3r to find the value of H.
H = 3(0)
H = 0
Based on the calculations, the value of H is 0, not 3. It seems there was a mistake in the initial assumption that H equals 3r. Please recheck the given conditions and equations to ensure accuracy.