Answer:
Width=20 feet
Since Length=Width=20 feet, the rectangle is a Square.
Step-by-step explanation:
Area,
To determine the width of the rectangle that gives the maximum area, we take the derivative of A and solve for its critical point.
The width of the rectangle that gives the maximum area =20 feet.
Perimeter of a rectangle=2(l+w)
Perimeter of the rectangle=80 feet
2(l+w)=80
2l+2(20)=80
2l=80-40
2l=40
l=20 feet
Since the length and width are equal, the special type of rectangle that produces this maximum area is a Square.
Step-by-step explanation:
Given:
Taking the partial derivative of the above equation with respect to z, we get
Collecting all terms containing we get
Then
When the difference between one and two numbers is two, the two numbers are -10 and -12.
Given that,
The difference between one and two numbers is two. Twelve more than six times the second is four times the first.
We have to find the number.
We know that,
The system of equation we get
x=y-2 ----->equation(1)
4x=12+6y ----->equation(2)
Substitute for x in the equation(2)
4(y-2)=12+6y
4y-8=12+6y
4y-6y=12+8
-2y=20
y=-10
Substitute y=-10 in equation(1)
x=-10-2
x=-12
Therefore, The two numbers area -10 and -12 when the difference between one and two numbers is two.
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Answer:-1/9,1/27,-1/81
Step-by-step explanation:
We are dividing by -3 each time.
3/-3=-1
-1/-3=1/3
1/3÷-3=-1/9
-1/9÷-3=1/27
1/27÷-3=-1/81
Answer:
Step-by-step explanation: