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How can you use the initial value theorem to solve for the initial slope of a function?
I suggest: - Take the derivative of the function - Find its initial value, which could be done with the initial value theorem That value is the slope of the original function.
What function searches for a specific value in a table and returns that value's relative position from the table not the value itself?
concatentate
What is the value of the expression in the table when n equals 6?
If the table defines the function f, then the answer is f(6).
How do you graph a function without a table?
Suppose you have a function f, of a variable X. You select a value for X, say x. Calculate the value of f(x) that is, the value of the function when X takes that value x. Then, instead of writing the result in a table, mark the point [x, f(x)] on the coordinate plane. Repeat with other values for X and join up the points.
What is a shooting method in numerical analysis?
The shooting method is a method of reducing a boundary value problem to an initial value problem. You essentially take the first boundary condition as an initial point, and then 'create' a second condition stating the gradient of the function at the initial point and shoot/aim the function towards the second boundary condition at the end of the interval by solving the initial value problem you have made, and then adjust your gradient condition to get closer to the boundary condition until you're within an acceptable amount of error. Once within a decent degree of error, your solution to the initial value problem is the solution to the boundary value problem. Have attached PDF file I found which might explain it better than I have been able to here.
