Answer: 90.51 square units
Explanation:
1) The rectangle has one length on the x-axis.
2) Call x, the x-coordinate of the right lower corner of the rectangle.
And the point is (x,0)
3) The x-coordinate of the lef lower corner will be - x.
And the point is (-x,0)
4) The right upper point of the rectangle will be (x,y) where y = 24 - x²
5) The left upper point of the rectangle will be (-x,y) where y = 24 - x² .
6) The area of such rectantle is the length of the base times the length of the height.
The length of the base is 2x
The lenght of the height is y
So, the area is A = 2x(y) = 2x(24 - x²) = 48x - 2x³
7) Now to find the maximum area you have to derivate the function and make it equal to zero:
dA
---- = A' = 48 - 6x² = 0 =>
dx
4x² = 48 => x² = 48/6 = 8 =>
x = (+/-)√8
Then, y = 24 - x² = 24 - (√8)² = 24 - 8 = 16
8) Therefore the area of the rectangle is
A = 2x(y) = 2(√8)(16) = 90.51.
9) You can see if x is a greater or smaller.
For example x = 2 and x = 3
x = 2 => y = 24 - (2)² = 20 => A = 2(2)(20) = 80 which is less than 90.51
x = 3 => y = 24 - (3)² = 15 => A = 2(3)(15) = 90 which is less than 90.51
So, that tells you that your result should be right.
Answer:
1 Jug
Step-by-step explanation:
if
2/3=3 weeks
?=1 weeks
so in the conclusion it is 1*2/3*1*3=3/3= 1 jug
Generally we use n as a counter and begin it with 1: the first term is obtained when n = 1. Thus, n must be a positive integer, 1 or greater: {1, 2, 3, ... }.
Answer:
1/4
Step-by-step explanation:
The answer is 1/4 because 4 is the greatest common factor (GCF) of both numbers. So you divide both numbers by 4.
4 ÷ 4 = 1
16 ÷ 4 = 4
Therefore, the answer is 1/4.
