To find the critical number of that function we have to find the derivative and set it equal to 0 and solve for x. The derivative of the function is f'(x)=-10x+2. If we set it equal to 0 and solve, we have x = -2/-10 which simplifies to x = 1/5.
one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.
isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!
Answer:
x = 13
Step-by-step explanation:
Please use " ln " for the "natural logarithm," not " in. "
Then you have: 2 ln 3= ln (x-4)
We need to get rid of the " ln " operator. Rewrite 2 ln 3 as ln 3² = ln (x - 4).
Then 3² = x - 4, or 9 = x - 4, or x = 13
Answer: 68400
Explanation: The question is asking for area so you do base times height. In this case you multiply 360 times 190.
