Answer:
- The smaller one is x = 3
- and the larger one is x = 6
Step-by-step explanation:
A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.
A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.
_____
Setting the derivative to zero is another way to find the points with zero slope:
f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)
The derivative will be zero where the factors are zero, at x=3 and x=6.
The critical numbers are x=3 and x=6.
Answer:
The slope of problem 11 is

The slope of problem 10 is

Answer:
27 miles
Step-by-step explanation:
1cm is 6 miles,
4.5cm is ?miles
?=6*4.5/1=27
The correct answer would be 42.50
Work:
50 divided by 100 = .5
.5 * 15 = 7.5
50 - 7.5 = 42.50.