3 ab

ContourPlot3D[{z==5*x^2+5*y^2,z==6-7*x^2-7*y^2},{x,-5,5},{y,-5,5},{z,-5,10},Axes->True,Boxed->False] s+i f[x_,y]=5*x^2+5*y^2; g[x_,y]=6-7x^2-y^2; s1=Solve[f[x,y]==g[x,y],y] s+i s2=Solve[s1[1,2,3]==0,x] s+i āφāϰেāĻ•āϟু āφāĻ›ে …

6

a i Integrate[Integrate[(x^2+y^2)^(3/2),{y,0,Sqrt[1-x^2]}],{x,-1,1}] a ii Integrate[Tan[theta],{theta,0,Pi/7}] b.... g[x_]=cos[Ī€*x]+x; plot[g[x],{x,-4,4}]; s+i 2 ⧟ āĻ…ংāĻļ plot[g[x],{x,-4,4},ptotStyle->{RGBColor[1,0,0],Axe…

5a bc

a-- A={{2,1,1},{-2,1,2},{2,3,-4}}; b={6,1,3}; LinearSolve[A,b] s+ i b --- A={{2,1,1},{-2,1,2},{2,3,-4}}; b={6,1,3}; d=Inverse[A]; d.b s+i c----, A={{2,1,1},{-2,1,2},{2,3,-4}}; A1={{6,1,1},{1,1,2},{3,3,-4}}; A2={{2,6,1},{-2,…

7 ab

A={{4,1,-1},{2,5,2},{1,1,1}};[matrix akare] Eigenvalues[A] Eigenvectors[A] Null (s+i) CharacteristicPolynomial[A,x] (s+i) 27IdentityMatrix[3]-30MatrixPower[A,1]+10MatrixPower[A,2]-MatrixPower[A,3]//MatrixForm (s+i) b-----n…

8 (a)

8 a..... ff=7x^2-7y^2+18xy-16x-32y-18==0; eq1=D[ff,x]; eq2=D[ff,y]; soln=Solve[{eq1,eq2},{x,y}] gg=Simplify[ff/.{x->+soln[[1,1,2]],y->y+soln[[1,2,2]]}] a=17;b=-7;h=9; alfa=1/2ArcTan[2h/a-b] x1=x*Cos[alfa]-y*Sin[alfa]; y1=x…

rendom

2----- (ai) f[x_,y_]=x^2*y+y^2*x+x^3+y^3; D[f[x,y],x] s+i D[f[x,y],y] s+i D[f[x,y],{x,2}] s+i D[f[x,y],{y,2}] (aii) f[x_]=Abs[x+1]+Abs[x]; lhs=Limit[f[x],x->-1,Direction->1] rhs=Limit[f[x],x->-1,Direction->-1] f[-1]…

Math lab

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