applied project

Laboratory Project in Sec.3.10, Calculus by Stewart 英文版請見 Taylor polynomials 在近似函數 $f(x)$ 在 $x=a$ 的值時，切線逼近函數(tangent line approximation) $L(x)$ 是線性逼近(linear approximation)中

Applied Project in Sec.3.4, Calculus by Stewart 英文版請見 Where should a pilot start descent? 上圖是一台飛行器的降落軌跡近似圖，它必須滿足以下條件： 巡航高度為$h$，而飛行器在與著陸地點(同時也是圖

Applied Project 2 in Sec.4.7, Calculus by Stewart Chinese version: 飛機和鳥：能量最小化 Small birds like finches alternate between flapping their wings and keeping them folded while gliding. In this project we analyze this phenomenon and try to determine how frequently a bird should flap its wings. Some of the principles are the same as for fixed-wing aircraft and so we begin by

Applied Project 1 in Sec.4.7, Calculus by Stewart Chinese version: 罐頭的形狀 Given a cylindrical can with fixed volume $v$, we want to find the height $h$ and radius $r$ that minimize the cost of metal to make the can. If we disregard any waste metal in the manufacturing process, then the problem is to minimize the surface area of the cylinder. It can be found that

Applied Project in Sec.3.4, Calculus by Stewart Chinese version: 飛行員應該何時開始下降高度? An approach path for an aircraft landing is shown in the figure and satisfies the following conditions: (i) The cruising altitude is $h$ when descent starts at a horizontal distance $\ell$ from touchdown at the origin. (ii) The pilot must maintain a constant horizontal speed $v$ throughout