9.4 利用拉氏变换的性质,计算 8[f(t)]:-|||-(1) (t)=t(e)^-3tsin 2t;-|||-(2) (t)=t(int )_(0)^t(e)^-3tsin 2tdt.

计算(t)=3+2(e)^-it的傅里叶变换( )(t)=3+2(e)^-it(t)=3+2(e)^-it(t)=3+2(e)^-it计算的傅里叶变换()

2-2 求下列函数的拉普拉斯变换,假定当 lt 0 时, (t)=0-|||-1) (t)=5(1-cos 3t)-|||-2) (t)=(1+t+(t)^2)

4.18 求下列信号的傅里叶变换。-|||-(1) (t)=(e)^-tg(t-2)-|||-(2) (t)=(e)^-3(t-1)g(t-1)-|||-(3)

2.17 求下列函数的卷积积分 _(1)(t)*(f)_(2)(t) o-|||-(1) _(1)(t)=tg(t) ,_(2)(t)=e(t)-|||-(2)

2-13 求下列各函数f1 (t)与f2(t )的卷积 _(1)(t)*(f)_(2)(t)-|||-(1) _(1)(t)=u(t), _(2)(t)=(e)

求曲线 =2t, =(t)^2, =dfrac (2)(3)(t)^3 上对应于=2t, =(t)^2, =dfrac (2)(3)(t)^3 的点处的切线及法

【例7.16】已知函数f(t)=int_(1)^t^(2)dxint_(sqrt(x))^tsin(x)/(y)dy,则f((pi)/(2))=____.【例7

[问答题] 计算题：求f（t）＝e－atsinωt的拉氏变换。

2.17 求下列函数的卷积积分 _(1)(t)*(f)_(2)(t)-|||-(1) _(1)(t)=tg(t) _(2)(t)=g(t)-|||-(2) _(

2.计算题求函数f(t)=}sin t,|t|leqpi0,|t|>pi的傅氏变换，并证明int_(0)^+infty(sinomegapisinomega t