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:
A i think
Step-by-step explanation:
GOOD LUCK
Yes, you can see by subtracting 32 from the bottom sides and seeing that the correspondent for 20 degrees celcius is double that of the correspondent for 10 degrees celcius
Step 1. Simplify
to
Step 2. Simplify
to
Step 3. Simplify
to
Step 4. Cancel
on both sides
Step 5. Multiply both sides by
(the LCM of
)
Step 6. Expand
Step 7. Subtract
from both sides
Step 8. Simplify
to
Step 9. Multiply both sides by
Done! :) Hope this helps! :)
9514 1404 393
Answer:
B. 9πx^6
Step-by-step explanation:
Putting the given radius into the area formula gives ...
A = πr^2
A = π(3x^3)^2 = π(3^2)(x^(3·2))
A = 9πx^6
