Analyzing a graph in exercise, analyze and sketch the graph of the function. label any relative extrema, points of inflection, and asymptotes.
y = in x^2/ 9 - x^2

analyzed & sketched

Step-by-step explanation:

We are given the function:

The first derivative to find the region for increase and decrease:

decreasing in (0,1), increasing in (1,3)∪(3,∞)

So, x = 1 is local minimum.

x = 3 is vertical asymptote.

The second derivative to find concave up and concave down:

concave up in (0,3), concave down in (3,∞)

The sketch is given in the attachment.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

$12. that is my answer.