Find the critical numbers of the function f(x) = x6(x − 4)5. x = 0 Correct: Your answer is correct. (smallest value) x = 2 Incorrect: Your answer is incorrect. x = 4 Correct: Your answer is correct. (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? At x = , the function has . (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.) At x = , the function has . At x = , the function has . At x = , the function has .

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)

b

step-by-step explanation:

this is because the profit is decreasing and turning into debt