解析 √ 2(e^(π/2)-1) (split)∫ _0^(π/2)√ ((e^(θ ))^2+(e^(θ ))^2)θ &=∫ _0^(π/2)√ ((2e^(2θ )))θ\&=√ 2∫ _0^(π/2)e^(θ )θ\&=√ 2(e^(π/2)-e^0)\&=√ 2(e^(π/2)-1)(split)反馈 收藏 ...
Mathematics in action The deflection curve This is a derivation of the differential equation describing the curvature of a beam when bent. Consider a beam which is bent into a circular arc and the radius R of the arc. For a segment of circular arc (Figure 5. 4.35), the angle δθ subte...
Active field theories, such as the paradigmatic model known as ‘active model B+’, are simple yet very powerful tools for describing phenomena such as motility-induced phase separation. No comparable theory has been derived yet for the underdamped case. In this work, we introduce active model ...
Algebraic surfaces are those defined, in general, by an equation of the form (11.16)f(x,y,z)=0 where the function f is a polynomial; that is, f(x,y,z)=∑i=0l∑j=0m∑k=0naijkxiyjzk whose degree is the sum of the degrees of the components: d = l + m + n. If we rew...
This formula can be manipulated to get a simple formula for converting an angle in degrees to one in radians: {eq}\mathrm{ rad}=(\pi)\frac{\mathrm{deg}}{180} {/eq} and for converting an angle in radians to one in degrees: {eq}\mathrm{ deg}=(180)\frac{\mathrm{rad}}{\pi} {...
Joao Amadeu has more than 10 years of experience in teaching physics and mathematics at different educational levels. Joao earned two degrees at Londrina State University: B.S. in Physics and M.S. in Science and Mathematics Education. He is currently working on his PhD in Science Education ...
A particle is projected with a speed of 25 m/s at an angle of 40 degrees above the horizontal. Find the time taken to reach the highest point of the trajectory. Find the magnitude and direction of the A graph of displacement versus time is given below. Explain in detail relative velocity...
For a more general curve, the arc length calculation requires calculus. Answer and Explanation: To compute the arc length of the segment of the parameterized curve, {eq}x(\Theta )=\Theta \cos \Theta, y(\Theta )=\Theta \sin \Theta \,\, on \l...
Soil erosion is utmost problem that emerges from drastic changes in land use and land cover by different degrees of anthropological activities. Soil scientists and policymakers are interested to estimate potential volume and spatial variation of soil erosion for useful planning and conservation purposes ...
4) arc length continuous method 弧长连续方法 5) Pseudo-arclength continuation method 拟弧长延拓方法 例句>> 6) growth equation 生长方程 1. Application of fivegrowth equations to establishing growth models for Calamus simplicifolius and Daemonorops margaritae plantations; ...