Answer:
Step-by-step explanation:
We are given the function:
And we want to determine a such that h(x) has an inflection point at x = 4.
Possible inflection points are whenever h''(x) equals 0. So, we will first differentiate h(x) twice. This yields:
So:
Inflection points occur when h''(x) = 0. So:
Since we have an inflection at x = 4:
And solving for a yields:
The area of base:
The area of one side:
The surface area:
17
65
x = 11/2