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2、xy0 y = x3. 12( ? 7) (6). f(x) = 1, x 0,m?u?“ (7). OR R (x + yz)dydz + (y + zx)dzdx + zdxdy- z = 1 p1 x2 y2(0 z 1)?e“ (8). gradf(r)fr = px2 + y2+ z2. 13( ? 7) 2!OOOKKK?KKK8 Z = x2 y2+ 2Z3? D = n (x,y)|x2+ y2 4 1 o ?“ 3!OOOKKK?KKK8 ?D = (x,y)|1 x2+ y2 4,x 0,y 0O?-RRD xx2+y2 x+y dxdy. 14( ? 7) 4!OOOKK
3、K?KKK10 ?P n=0(n+1)(n+3)x n? 9“ 5!OOOKKK?KKK10 ? f(x) = 1+x2 x arctanx, x 6= 0 1 x = 0 f(n)(0). 15( ? 7) 6!OOOKKK?KKK8?f(x)3(,)?Y ?z = f(excosy)“ (1). 2z x2 9 2z y2. (2). e 2z x2 + 2z y2 = e2x(4z + 8excosy)f(0) = f0(0) = 0 f(u)?L“ 16( ? 7) 7!yyyKKK?KKK8?an,bnv0 an,bn 2 (n = 1,2,.)cosan an= cosbndP n=1bny (1)an 0(n ),(2) P n=1 an bn“ 17( ? 7)
