For this case what we should do is evaluate the function in each of the points from 2 to 7 and then find the average.
We have then:
f (x) = ln (3x) +2.5.
f (2) = ln (3 * 2) + 2.5 = 4.291759469
f (3) = ln (3 * 3) + 2.5 = 4.697224577
f (4) = ln (3 * 4) + 2.5 = 4.98490665
f (5) = ln (3 * 5) + 2.5 = 5.208050201
f (6) = ln (3 * 6) + 2.5 = 5.390371758
f (7) = ln (3 * 7) + 2.5 = 5.544522438
Then the average is:
Average = (4.291759469 + 4.697224577 + 4.98490665 + 5.208050201 + 5.390371758 + 5.544522438) / (6) = 5.019472516
nearest hundredth
5.02
Answer:
the average rate of change of f (x) from 2 to 7 is 5.02
Answer:
Step-by-step explanation:
B. for it to be a proper function, it must pass the vertical line test (meaning, if you were to fill a continuous line between each of the dots, and then drew a string vertical line down at any point along the function, that vertical line cannot intersect with the function line more than once.
A, would fail the vertical line test, C< and D would also fail, as a vertical line would intersect/cross the function line more than once.
Answer:
2 hours and 30 minutes to fill it up
Step-by-step explanation:
Answer:
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Description
DescriptionIn mathematics, a zero of a real-, complex-, or generally vector-valued function, is a member of the domain of such that vanishes at; that is, the function attains the value of 0 at, or equivalently, is the solution to the equation. A "zero" of a function is thus an input value that produces an output of
. Factor out the common tan^2x like this: 
. Now we have 2 separate equations to solve: 
and sinx = 0. Now we have to figure out where tan^2 is 0 between 0 and 2pi. If we include 2pi, the solutions for that equation are 
. You can test those out on your calculator just to be sure. There's only one value of x for the next equation. The only place between 0 and 2pi where the sin x = 1 is at x = 
. And there you go!