The method is illustrated through open access data, demonstrating superiority of 26 composite biomarkers relative to a predicate device. Especially under correction for testing of multiple hypotheses, traditional asymptotic approximations are encumbered by considerable imprecision, adversely aff...
The definite integral of a simple shape is the area under the curve. Discover how to calculate the integrals of simple shapes, such as rectangles and general trapezoids. Related to this Question Find the exact length of the curve: y = (x^3)/3 + 1/(4x) on the int...
Find the area enclosed by the curve x=t^2-3t, y = \sqrt t and the y-axis. Find the area enclosed by the curve x = 1 + e^t and y = 1 - t^2 and the x-axis. 1. Find the area enclosed by the curve x = t^{2} ...
Find the first-quadrant area under the curve of the following from x = 1 to x = 3. y = 5 ln^4 x/x Let R be the region in the first quadrant bounded by the curve y= -x^2 + 6x - 8 and y= 0. Find the area of R. (A) Find the area of the...
Answer to: Find the exact area of the surface obtained by rotating the curve y = x^{3/6} + \frac{1}{2}x ; \quad 1/2 \leq x \leq 1 about the...
Some third parties are outside of the European Economic Area, with varying standards of data protection. See our privacy policy for more information on the use of your personal data. Manage preferences for further information and to change your choices. Accept all cookies ...
In the cases with three ordinal diagnostic groups, the important measures of diagnostic accuracy are the volume under surface (VUS) and the partial volume under surface (PVUS) which are the extended forms of the area under curve (AUC) and the partial area under curve (PAUC). This article...
Furthermore, in the context of the Greek metrical tradition, even a loose approximation may come with a proof. For example, it is possible that one could show that a method works because it provides an area smaller than the actual area under the curve being studied. It might still be a ...
We will solve the surface area of the revolved curve using the integral formula {eq}S=2\pi \int_{a}^{b}y\sqrt{1+\left ( f'(x) \right )^{2}}d {/eq} where {eq}\int_{a}^{b}\sqrt{1+\left ( f'(x) \right )^{2}}d {/eq} is t...
Find the exact area of the surface obtained by rotating the curve about the {eq}x {/eq}-axis. {eq}y = \sqrt{1 + e^x}, \quad 0 \leq x \leq 8 {/eq} Area and Axis of Revolution: The axis of revolution can be represented by a hori...