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:
5.4 m
Step-by-step explanation:
18/3 = x/0.9
0.9(18/3) = x
x = 5.4
Answer:
Step-by-step explanation:
A polynomial function involves only non-negative integer powers or only positive integer exponents of a variable in an equation.
A path that goes through every EDGE once and starts and ends at different vertices.
Step-by-step explanation:
- Euler path - uses every edge of a graph exactly once
- Euler circuit - uses every edge of a graph exactly once
- Euler path - starts and ends at different vertices
- Euler circuit - starts and ends at the same vertex
