일반수학및실습2-11.5절

2166 days 전, jhlee2chn 작성

예제 1.

var('t') f(t)=cos(t);g(t)=cos(t);h(t)=sqrt(2)*sin(t) parametric_plot3d((f(t), g(t), h(t)), (t, 0, 2*pi), aspect_ratio=1) 
       
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예제 3.

var('t') f1(t)=cos(pi*t);f2(t)=2*sin(pi*t);f3(t)=4*t^2 g1(t)=t;g2(t)=0;g3(t)=t^3 r(t)=[f1(t), f2(t), f3(t)] s(t)=[g1(t), g2(t), g3(t)] print vector([limit(r(t)[i], t=1) for i in range(0, 3)]) print vector([limit(s(t)[i], t=1) for i in range(0, 3)]) print limit(r(t).inner_product(s(t)), t=1) print vector([limit(r(t).cross_product(s(t))[i], t=1) for i in range(0, 3)]) 
       
(-1, 0, 4)
(1, 0, 1)
3
(0, 5, 0)
(-1, 0, 4)
(1, 0, 1)
3
(0, 5, 0)