Answer:
138
Step-by-step explanation:
c=5
d=4
6c^2-5d+8
substitute c & d
6(5)^2-5(4)+8
6(25)-20+8
150-20+8 = 138
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:
75.7m^2
Step-by-step explanation:

So the ration is 1 to 5 since it's one foot every 5 seconds. So for every 5 seconds, add 1 foot.
For example: in 45 seconds, it would travel 7 feet.
But in this Scenario, the timer starts after 5 feet so just add 5
Ex. in 45 seconds, it would have traveled 12 feet since we added the 5 feet that we started with to the 7 other feet it traveled.
Idk If this will help very much but I hope it does.
Rewrite the limit as

Then both numerator and denominator approach infinity (with different signs, but that's not important). Applying L'Hopital's rule, we get
