Problem, Use the arc length formula s=rθ to find the missing quantity. Round answers to three decimal places.s=2 m, θ=13 radian, r=? 相关知识点: 试题来源: 解析 r=6 m [解析]11.[试题分析]题干问的是“根据开篇两段的内容,概括榆木书桌的特点。”本题考查筛选并整合文中的信息。答题...
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+...
Use the arc length formula for polar curves to calculate the arc length of the entire circle: {eq}r = 4 q\cos(\theta) {/eq}. Note: Find the exact answer in terms of {eq}q {/eq}. Arc length: Consider a polar...
arc length variationexponential manifoldFisher metricIn this paper, we mainly consider the first and second arc length variational problems on the exponential statistical manifold, and give the variational formulae.doi:10.2478/s12175-013-0158-6Fengyun Zhang...
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Calculate the length of an arc if the radius of an arc is 8 cm and the central angle is 40°. Solution We have been given that Radius ( r ) = 8 cm Central angle ( ) = 40° Now, we know that Arc Length Formula ( if θ is in degrees ) ( s ) = 2 π r ( $\frac{θ}...
Find the arc length of the curvesr(t)=⟨t2,t3⟩;0≤t≤53 Arc Length: To find the arc length if the equation is given in parametric form then we will use the following formula∫(dxdt)2+(dydt)2dt. We will differentiate the equation and then plug-in th...
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then the arc length {eq}L {/eq} is given by the following formula: {eq}L = \int\limits_a^b {\sqrt {{{\left( {\frac{{dx}}{{dt}}} \right)}^2} + {{\left( {\frac{{dy}}{{dt}}} \right)}^2} + {{\left( {\frac{{dz}}{{dt}}} \right)}...
be rectifiable.A curve is rectifiable,if and only if its parameter representation is bounded variation,but in general the arc length could not be formulated,and we proves by Lebesgue Integral Theory that absolutely continuous is the sufficient and necessary condition for the formula of arc length....