Answer:
(-5, 0) ∪ (5, ∞)
Step-by-step explanation:
I find a graph convenient for this purpose. (See below)
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When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...
f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)
This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).
Answer:
200 KM about 124 miles
Step-by-step explanation:
200 m is only 0.12 miles
200 cm is 78 inches
200 mm is 20 cm or 7.8 inches
Answer:
6c^2 + c
Step-by-step explanation:
8^2 - 2c^2= 6c^2
6c-5c = c