Given the function f, a) determine the first derivative f', b) solve for the critical number/s (if there are any), c) produce a table of signs, and d) determine the intervals at which f is increasing or decreasing. 1 7 ƒ(x) = ²x² − 3x³ + 3x²

Q: Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n…

A: Given: Tn+2=12Tn+1+Tn for n≥0 T0=a T1=b To find: The limit of Tn as n→∞.

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Q: 1 f(x) 2 3 4 5 6 8

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Q: -2-1 5 HA 4 у 3- 2 1 1 2 3 4 5 6 7 2 8 9 10 K

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Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

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Q: . Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm²…

A: We have to find the area of the bacteria coloney as a function of time at the gives instances.

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A: Solution...

Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4