The circumference of a circle is 60π cm. What is the radius of the circle
1 answer:
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Answer:
Max vol = 2 cubic metres
Step-by-step explanation:
Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.
Side of the square = 3m
If squares are to be cut from the corners of the cardboard we have the dimensions of the box as
3-2x, 3-2x and x.
Hence x can never be greater than or equal to 1.5
V(x) = Volume =
We use derivative test to find the maxima
Equate I derivative to 0
If x= 3/2 box will have 0 volume
So this is ignored
V"(1/2) <0
So maximum when x =1/2
Maximum volume
= cubic metres
13x+6y = -30................y = -5 -13x/6
x−2y=−4...................... y = x/2 +2 <span>
If we graph both lines we can get the solution of the system (point of intersection)
The best estimate is (x,y) = (-2.625, 0.688)</span>
x−2y=−4...................... y = x/2 +2 <span>
If we graph both lines we can get the solution of the system (point of intersection)
The best estimate is (x,y) = (-2.625, 0.688)</span>