Answer:
Step-by-step explanation:
Expression for the rectangular area and perimeter are, respectively:
After some algebraic manipulation, area expression can be reduce to an one-variable form:
The first derivative of the previous equation is:
Let the expression be equalized to zero:
The second derivative is:
According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:
The maximum area is:
Answer:
B.
Step-by-step explanation:
x < 2 means all numbers less than 2. that is an open dot on 2 and shading to the left.
x >= -8 means -8 and all numbers greater than -8. that is a closed dot on -8 and shading to the right.
Answer: B.
Biased or Unbiased:
Take 20 packages off the top of the load of packages being shipped by a truck and measure the amount of damage expected to the whole truckload.
Answer: It is a biased way of taking sample. Because the top layer of packages has less weight resting on it and may have less damage. Therefore, the given statement is biased and based on these 20 packages of the top of the load, we can not make a decision about how much damage a truckload contains.
For this case we have the following expression:
If we add to both sides of the equation we have:
To eliminate the roots we must raise both sides to the cube:
So, the correct option is the option c
Answer:
Option C