Interior of a curveSupport functionWinding numberOvalPotential functionIn this article we present a new formula for the length of a closed curve involving a double integral of a certain potential function. This formula is based on the construction of pedal curves, and it turns out that the ...
Explanation: Returns the average of a range depending on multiple criteria.BASE Syntax: BASE(value, base, [min_length]) Explanation: Converts a number into a text representation in another base, for example, base 2 for binary.BESSELI Syntax: BESSELI(x, n) Explanation: Returns the modified Be...
With all that in mind, the formula for calculating any circle's circumference is the length of the diameter chord length times π (Dπ). You may also see this expressed as two times the radius times π (2rπ), but the result will be the exactly the same using either version of the ...
Let {eq}y=f(x) {/eq} be a function that is smooth (or the derivative is continuous) at the given interval {eq}a \leq x \leq b {/eq}. The formula for the arc length of the function at that interval is {eq}L = \displaystyle{\int_{a}^{b}} \sqrt{1+...
Find a formula for a curve of the form {eq}y = e^{-(x - a)^2/b}{/eq} for {eq}b > 0{/eq} with a local maximum at {eq}x = 8{/eq} and points of inflection at {eq}x = 4{/eq} and {eq}x...
the curved line that makes up the arc is known as the arc length. A part of a curve or a part of a circumference of a circle is called Arc. All of them have a curve in their shape. The length of an arc is longer than any straight line distance between its endpoints (a chord)....
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A sector of a circle is the area that is between the two radii of the circle that uses the endpoints of the arc. Arc is the length between the curve between two points. A sector is an area that is bounded by an arc and the two radii connecting the endpoints of the arc and the ...
Simply put, consumers can purchase goods and services for less than the maximum amount they would be willing to pay. The concept of a consumer surplus is derived from the economic theory of marginal utility, which is defined as the additional benefit a consumer receives from one more unit of...
Using the hyperbola formula for the length of the major and minor axis Length of major axis = 2a, and length of minor axis = 2b Length of major axis = 2 × 4 = 8, and Length of minor axis = 2 × 2 = 4 Answer: The length of the major axis is 8 units, and the length of ...