Tutor profile: Paris M.
What types of loops can you use in Matlab and give a brief explanation of what they are?
For and while loops can be used in Matlab. A for loop is used to repeat a statement/ group a certain amount of times (typically with a variable/index updating between statement calls). A while loop is used to repeat a statement/group until a condition(s) is no longer true. Both for and while loops can be "nested", which means that a loop can exist inside a loop.
Evaluate the inequality (-3 < 4x + 1 < 17) for x
You begin by subtracting 1 from each term of the inequality, resulting in -4 < 4x < 16. Then, to isolate x, divide all terms of the inequality by 4, resulting in -1 < x < 16. The solution is that x is greater than -1 (exclusive) and less than 16 (exlusive) or (-1,16).
If f(x) is a function (real) then what does the derivative of f(x) represent; what does it represent at a single point?
The derivative of a single point is the slope of the tangent line to the function at that point. One can think of it as the "rate of change" of a function at a single point or over time. An example would be that if the derivative, at a point, is negative then the original function is decreasing, has a negative rate of change, at that point.
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