Answer:
Option C is correct.
Step-by-step explanation:
Given Equation:

To find: Solution of the Equation.
Consider,





b² = 0 ⇒ b = 0
b - 4 = 0 ⇒ b = 4
Therefore, Option C is correct.
We integrate the given equation such that,
integral of g(x) = (5/3)x³ - 9x² + 35x
Substituting,
x = 13
integral of g(x) = (5/3)(13³) - 9(13)² + 35(13)
= 2595.67
and, x = 0
integral of g(x) = 0
The area is 2595.67 - 0 = 2595.67
For the second part,
x = 1
integral of g(x) = (5/3)(1)³ - 9(1)² + 35(1)
= 27.67
Area under the curve between x = 0 and x = 1 is 27.67
The difference between the two areas is,
2595.67 - 27.67 = 2568.0
Answer: 2568.0 units squared
a) Cube area = 6a^2
a = 6(5.25)^2
5.25 * 5.25 = 27.5625 * 6 = 165.375
Rounded, thats 165.38
b) Rectangular prism area = 2(wl + hl + hw)
Lets say l = 6.8, w = 8.2, h = 10
It equals about 441.52