Area of the rectangle is given as = 16 square inches
We know
Length * width = Area
Then
Width = Area/Length
Now
Perimeter = 2 (Length + Width)
Perimeter = 2[ {Length + (Area/Length)}]
Perimeter = 2[Length + (16/Length)]
When d(Perimeter)/d(length) = 0,
Then
2[Length + (16/Length)] = 0
Length + (16/Length) = 0
Length^2 + 16 = 0
(Length)^2 = -(4)^2
Then
Length = 4 inches
Now
Width = Area/Length
= 16/4
= 4 inches.
Given expressions;
f(x) = x² + 6x + 7
g(x) = 8x² - 2
h(x) = 3x + 4
k(x) = x - 3
Find f(2) - g(2). k(2)
f(2) = 2² + 6(2) + 7 = 23
g(2) = 8(2)² - 2 = 30
k(2) = 2 - 3 = -1
Now, f(2) - g(2). k(2) = 23 - (30)(-1)
= 53
The solution to the problem is 53
Answer:
Associative property of addition
by using the integration formula
we get,
now put the value of t=\sin\theta in the above equation
we get,
hence proved
