The Nearsighted Cow Problem: A Calculus Classic. A rectangular billboard 5 feet in height stands in a field so that its bottom is 13 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground stands
x
feet from the billboard. Express
θ
, the vertical angle subtended by the billboard at her eye, in terms of
x
. Then find the distance 0
x
0
the cow must stand from the billboard to maximize
θ
.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

you meant circumference well the answer is:

17.27876 miles

area is 23.7583

the radius is 2.75 miles

hope this hmu if needed.

the answer is a, biohazard symbol