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:
=7/6
Step-by-step explanation:
= 20/3-11/2
= 7/6
You should use calculator.
There are a total of 75 balls in the bag.
45 of these balls are neither red nor blue.
45/75 = .60
There is a 60% chance that a ball that in not red or blue will be chosen.
Hope this helps!
Tan socks = 4
Grey socks = 7
Total number of socks = 4+7 = 11 socks
Probability of picking a tan sock then grey sock:
P(T)*P(G) = (4/11)*(7/10) = 14/54
Probability of picking a Grey sock then Tan sock
P(G)*P(T) = (7/11)*(4/10) = 14/55
Probability of two different colored socks
P(T&G)+P(G&T) = (14/55)+(14/55) = 28/55
