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Describe a queue data structure.

A queue is a FIFO (First In First Out) data structure. Analogous to a production line, the first item in the list will be the first to be removed, the second the second and so on.
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Answered by Michael T. • Computing tutor
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Describe a stack data structure.

A stack is a LIFO (Last In First Out) data structure. Analogous to a stack of plates, every new data entry is placed (or pushed) onto the top of the stack, and to get the the data below it, you must first re...
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Answered by Michael T. • Computing tutor
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∫ log(x) dx

Using "Integration by parts" or "reverse chain rule" . Recall formula for intergration by parts: "∫f'(x) g(x) dx = f(x)g(x) - ∫f(x)g'(x)dx" Then set f'(x) = 1, g(x) = log(x). Ca...
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Answered by Michael T. • Maths tutor
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Differentiate f(x) = 2xlnx.

Use the chain rule: f'(x) = v(du/dx) +u(dv/dx). Let u = 2x, du/dx = 2, v = lnx, dv/dx = 1/x Using this information: f'(x) = 2lnx + 2x/x This simplifies to f'(x) = 2lnx +2.
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Answered by Tom V. • Maths tutor
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A simple circuit contains a battery rated at 12V, connected in series to a filament lamp with a resistance of 3 ohms. What current flows through the filament lamp?

V=IR, where V is voltage (volts), I is current (amps) and R is resistance (ohms). Since V and R are known, I needs to be found. Rearranging the equation gives: I=V/R. Inputting the values gives I=12/3. I=4A
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Answered by Tom V. • Physics tutor
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