What is the factored form of b2 – 4b – 32?
1 answer:
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The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so
Answer:
enrollment decreases by 14.34%.
Step-by-step explanation:
Given that number of students enrolled in 2000 = 823
Given that number of students enrolled in 2010 = 705
705 is less than 823 so that means number of students enrollment is decreasing.
Decrease = 823-705 = 118
Percent decrease is given by formula:
which is approx 14.34%.
Hence final answer is that enrollment decreases by 14.34%