Answer:
The equation of the circle is given by:
(x-a)^2+(y-b)^2=r^2
where:
(a,b) is the center of the circle
given that the center of our circle is (2,3) with the radius of 5, the equation will be:
(x+2)^2+(y+3)^2=5^2
expanding the above we get:
x^2+4x+4+y^2+6y+9=25
this can be simplified to be:
x^2+4x+y^2+6y=25-13
x^2+y^2+4x+6y=12
Answer:
a)
b)
Step-by-step explanation:
From the question we are told that
The Function

Generally the differentiation of function f(x) is mathematically solved as


Therefore

Generally critical point is given as



Generally the maximum and minimum x value for critical point is mathematically solved as

Where
Maximum value of x

Minimum value of x

Therefore interval of increase is mathematically given by


Therefore interval of decrease is mathematically given by

Generally the second differentiation of function f(x) is mathematically solved as

Generally the point of inflection is mathematically solved as


Therefore inflection points is given as


a)Generally the concave upward interval X is mathematically given as


b)Generally the concave downward interval Y is mathematically given as

I’m not sure if this helps, but the area of a hexagon with a perimeter of 12 inches would be 10.39 inches squared