Let <em>f(x)</em> = (<em>x</em> ² - 1)³. Find the critical points of <em>f</em> in the interval [-1, 2]:
<em>f '(x)</em> = 3 (<em>x</em> ² - 1)² (2<em>x</em>) = 6<em>x</em> (<em>x </em>² - 1)² = 0
6<em>x</em> = 0 <u>or</u> (<em>x</em> ² - 1)² = 0
<em>x</em> = 0 <u>or</u> <em>x</em> ² = 1
<em>x</em> = 0 <u>or</u> <em>x</em> = 1 <u>or</u> <em>x</em> = -1
Check the value of <em>f</em> at each of these critical points, as well as the endpoints of the given domain:
<em>f</em> (-1) = 0
<em>f</em> (0) = -1
<em>f</em> (1) = 0
<em>f</em> (2) = 27
So max{<em>f(x)</em> | -1 ≤ <em>x </em>≤ 2} = 27.
X = 6 if you use the above equality
Answer:
-1/cd
b = -a/cd
Step-by-step explanation:
a = -bcd
Multiplication and division are inverse operations
Multiply each side by -1/cd
a* -1/cd = -bcd * -1/cd
-a /cd = b
Answer: 284 cubes.
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated by multiplying its dimensions.
Knowing that the dimensions of this box are 
, we get that the volume of the box is:
The formula for calculate the volume of a cube is:
Where "s" is the lenght of a side.
Kwnowing that the a cube has a side of 1.5 cm, we get that the volume of one cube is:
Dividing 
by 
we get the greatest number of cubes that can fit in the box:
Same-side interior angles are a pair of angles on one side of a transversal line, and on the inside of the two parallel lines being intersected.
The sum of same-side interior angles is equal to 180 degrees.
A transversal line is a line that intersects other lines.
Parallel lines are lines that run alongside each other that never intersect.
An angle bisector is a line that divides an angle into two equal parts.
Given that the sum of same side interior angles is equal to 180 degrees, then the sum of the angle formed by the angle bisector is equal to 90 degrees.
Thus the angle bisectors intersect at an angle 90 degrees.
Therefore, the angle bisectors <span>of two same side interior angles in construction with two parallel lines and a transversal</span> intersect at angle 90 degrees.
