X^8
since it's a reciprocal one over something then the value will go up and will be positive
Answer:
A) Radius: 3.44 cm.
Height: 6.88 cm.
B) Radius: 2.73 cm.
Height: 10.92 cm.
Step-by-step explanation:
We have to solve a optimization problem with constraints. The surface area has to be minimized, restrained to a fixed volumen.
a) We can express the volume of the soda can as:
This is the constraint.
The function we want to minimize is the surface, and it can be expressed as:
To solve this, we can express h in function of r:
And replace it in the surface equation
To optimize the function, we derive and equal to zero
The radius that minimizes the surface is r=3.44 cm.
The height is then
The height that minimizes the surface is h=6.88 cm.
b) The new equation for the real surface is:
We derive and equal to zero
The radius that minimizes the real surface is r=2.73 cm.
The height is then
The height that minimizes the real surface is h=10.92 cm.
To find perpendicular lines you take a (-2), flip the number and the sign so that gets you 1/2. Then you check and keep doing 1/2 until you find the y int which is 0. The equation is y=1/2x+0 (you don't need the 0). Im pretty bad at explaining but the answer is correct.
Answer:6 hours
Step-by-step explanation:
312/130=2.4
2.4*2.5=6
Answer:
did you ever find out?
Step-by-step explanation: