CODE GIẢI TÍCH Câu đạo hàm lần x y vào nha Syms x y z f= x^4*log(x^2+2*y^3) F = subs(diff(diff(f,x,3),y,2),[x y],[1 2]) F= -1,2462 Câu 2, tự làm nha, câu đáp án 11/60 Câu : int(int(int(1,z,x^2+y^2,4),y,-sqrt(4-x^2),sqrt(4-x^2)),x,-2,2) ans = 8*pi Câu 5: diff(f,x) ans = 4*x^3-4*x*y >> diff(f,y) ans = -2*x^2+4*y-4 >> [x y]=solve('4*x^3-4*x*y=0','-2*x^2+4*y-4=0') x= 2^(1/2) -2^(1/2) y= Câu 9: f= x^2-y^2 ezsurf(f,[-1,1,-1,1]) Câu 6: >> syms r phi >> f=sqrt(1+4*r^2)*r f = (1+4*r^2)^(1/2)*r >> int(int(f,r,0,4*cos(phi)),phi,0,2*pi) ans = -1/6*pi-1/9*65^(1/2)*EllipticK(8/65*65^(1/2)) +44/3*65^(1/2)*EllipticE(8/65*65^(1/2)) >> double(ans) ans = 117.3200 câu 8: Viết code công thức dài nên lấy vd cụ thể Cho S phía mặt x^2+y^2 syms x y z >> P = z*y^2; >> Q = y+y^2; >> R = x^2; >> F= diff(P,x) + diff(Q,y) + diff(R,z) F = 1+2*y >> syms r phi >> x= r*cos(phi); >> y=r*sin(phi); >> F= eval(F) F = 1+2*r*sin(phi) >> I= int(int(int(F*r,z,r^2,1),r,0,1),phi,0,2*pi) I= 1/2*pi Câu >> syms x y z >> f=z^3-3*x^2*y+3*x*y*z+y^3 f= - 3*x^2*y + 3*x*y*z + y^3 + z^3 >> f=z^3-3*x^2*y+3*x*y*z+y^3-9 f= - 3*x^2*y + 3*x*y*z + y^3 + z^3 - >> F=subs(subs(f,x,0),y,1),solve(F)) F=subs(subs(f,x,0),y,1),solve(F)) | Error: Unbalanced or unexpected parenthesis or bracket >> F=subs(subs(f,x,0),y,1),solve(F) F= z^3 - ans = - 3^(1/2)*1i - - + 3^(1/2)*1i >> subs(-diff(f,x)/diff(f,z),[x y z],[0 2]) ans = -1/2 Câu >> syms x y >> f=x^4-2*x^2*y+2*y^2-10*y+1 f= x^4 - 2*x^2*y + 2*y^2 - 10*y + >> diff(f,x) ans = 4*x^3 - 4*y*x >> diff(f,y) ans = - 2*x^2 + 4*y - 10 >> [x,y]=solve('4*x^3-4*y*x=0','-2*x^2+4*y-10=0') x= -5^(1/2) 5^(1/2) y= 5/2