Calculation of relative maxima and minima of a function f (x) in a range [a, b]:
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
Identify intervals on which the function is increasing, decreasing, or constant. G (x) = 1- (x-7) ^ 2
First derivative
G '(x) = - 2 (x-7)
-2 (x-7) = 0
x = 7
Second derivative
G '' (x) = - 2
G '' (7) = - 2 <0 is a relative maximum
answer:
the function is increasing at (-inf, 7)
the function is decreasing at [7, inf)
Answer:
The perimeter of the polygon is 48 cm.
Step-by-step explanation:
Given: 
To find the perimeter of the polygon, we need to find the lengths of the AB, BC, CD and DA
Since, and to find the length, from circle theorem, "Two tangents from an external point to a circle are always equal in length".
From this statement we shall conclude,
The length of 
The length of 
The length of 
The length of 
Thus, the perimeter of the polygon is
Hence, the perimeter of the polygon is 48 cm.
Answer:
D. $236.00
Step-by-step explanation:
128+45+63 = 236
I believe the correct answer is 45 degrees. The smallest positive angle <span>θ in QI for which tan θ = 1 would be 45 degrees. We obtain it as follows:
</span>tan θ = 1
<span>θ = tan^-1 (1)
</span>θ = 45 degrees
Hope this answers the question. Have a nice day.
in decimal formation it is -0.5 and in fraction -1/2
