What is the absolute value of -0.575
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
The complete question in the attached figure
we know that
The surface area of a cube is equal to the area of its 6 squares faces
so
The area of one square face is equal to
where
b is the length side of the square
we have
substitute
---> area of one square face
Find the surface area of three cubes
Multiply the area of one square face by 6 (one cube has 6 faces) and then multiply the result by 3 (3 cubes)
so
Answer:
92
Step-by-step explanation:
Since the sum of the two numbers is 5, we can represent one of them by x and the other by 5-x. Then the desired product is ...
x²(5-x)³
A graphing calculator can show the extreme values of this on the interval 1 ≤ x ≤ 4. The maximum is 108 at x=2; the minimum is 16 at x=4.
The difference between the maximum and minimum is 108-16 = 92.
_____
If you like, you can take the derivative and set it to zero.
f(x) = x²(5 -x)³
f'(x) = 2x(5 -x)³ +x²(-3)(5-x)² = x(5 -x)²(2(5-x) -3x)
f'(x) = 5x(5-x)²(2-x)
This will be zero for x=0, x=5, and x=2. The points at x=0 and x=5 represent minima in the product. The values x=0 and x=5 are not in the domain of interest. The point at x=2 represents a maximum.
To find the function extremes on an interval, we need to evaluate the function where the derivative is zero, and also at the ends of the interval. So, the function values of interest are ...
f(1) = 1²·4³ = 64
f(2) = 2²·3³ = 108 . . . . product maximum
f(4) = 4²·1³ = 16 . . . . . . product minimum
The difference between the maximum and minimum is 92.
