Which expression is equivalent to 63.56 + (–81.47)?
2 answers:
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Answer:
absolute maximum is f(1, 0) = 2 and the absolute minimum is f(−1, 0) = −2.
Step-by-step explanation:
We compute,
Hence, if and only if (x,y) = (0,0)
This is unique critical point of D. The boundary equation is given by
Hence, the top half of the boundary is,
On T we have,
We compute
0 if and only if x=0, x= 1/2 or x = -2.
We disregard
Hence, the critical points on T are (0,1) and
On the bottom half, B, we have
Therefore, the critical points on B are (0,-1) and
It remains to evaluate f(x, y) at the points .
We should consider latter two points, , since they are the boundary points for the T and also B. We compute
We conclude that the absolute maximum = f(1, 0) = 2
And the absolute minimum = f(−1, 0) = −2.
Value of n is 4
The area of a rectangle is equal to the product of its length and width.
we know ,
the area of rectangle, multiply the length, , and the width, ,
and set the product equal to the area.
area of rectangle = length * width
54 = 3(n - 1) * (n + 2)
54 =( 3n - 3) * (n + 2)
multiply ( 3n - 3) with (n + 2)
we get,
54 =
54 =
54 = 3()
= (
)
18 = ()
- 18 = 0
= 0
solve them
= 0
n (n + 5) - 4 (n + 5) = 0
(n + 5)(n -4)
then we get,
n = -5 , n = 4
value of n should not be negative . so value of n is 4
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area
Area of rectangle = Length x Breadth
A = lb
how to Factoring Quadratic Equation
Step 1: Consider the quadratic equation ax2 + b x + c = 0
Step 2: Now, find two numbers such that their product is equal to ac and sum equals to b.
(number 1)(number 2) = ac
(number 1) + (number 2) = b
Step 3: Substitute these two numbers in the formula given below:
(1/a) [a x + (number 1)] [a x + (number 2)] = 0
Step 4: Finally simplify the above equation.
learn more about area of rectangle here :brainly.com/question/35108030
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