Whenever we have a function {eq}f(x) {/eq} and we need to find or approximate a zero of the function, we can apply Newton's Method. This method is an iterative method that starts with an initial guess {eq}x_0 {/eq...
Find the point on the graph of the function that is closest to the given point. {eq}f(x) = \sqrt{x}, \; (6, 0) {/eq}. Extrema: The maximum and minimum values of a differentiable function occur among the list of its critical points, that is point...
Find Limit of Sums on the TI 89 What is a Limit? A limit is a number that a function approaches. For example, take the function f(x) = x + 4. If you evaluate the function at x = 5, the function equals: f(5) = 5 + 4 = 9. That number, 9, is the limit for this ...
The function h(x) is defined as the square root of x(x-12). The domain of the square root function, in your case, is defined as the values of x for which x(x-12) is greater or equal to zero. So, let's see how to find out where that is....
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We have a limit in an indeterminate form of zero over zero. We can calculate this limit by using L'Hospital's rule twice. For this, we need to differentiate the numerator and the denominator of the function twice, since zero is a root of multiplicity two for both functions...
Our body shape calculator will classify your body into one of the seven most popular types. Naturally, not all women falling into one category are the same. Hourglass: this body shape is balanced and harmonious. The bust and hips are proportional and well-balanced, and the waist is clearly ...
I would like to know how to find the equation of a quadratic function from its graph, including when it does not cut the x-axis. Thanks. Modeling This is a good question because it goes to the heart of a lot of "real" math. Often we have a set of data points from observati...
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How do you find the number of real roots of a polynomial? Find all zeros of the polynomial function and then sketch the graph of the polynomial function. f(x) = x(x + 2)^2 (x - 3/2) How do I use a graphing calculator to find the roots of the polynomial...