E^2x -2e^x -24=0 please answer fast
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Answer:
1.
2.
Step-by-step explanation:
1. 8 = 4 * 2; 10 = 5 * 2; 18 = 9 * 2....
2. 4 = 1 * 3 + 1; 7 = 2 * 3 + 1; 10 = 3 * 3 + 1....
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