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If A=((1,1,-1),(2,0,3),(3,-1,2)),B=[(1,3...

If `A=((1,1,-1),(2,0,3),(3,-1,2)),B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,-4),(2,0,-2,1)]` prove that (AB)C=A(BC)

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If A=[(1,1,-1),(2,0,3),(3,-1,2)],B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,-4),(2,0,-2,1)] , find A(BC), (AB)C and show that (AB)C=A(BC) .

If A= [(1,1,-1),(2,0,2),(3,-1,2)],B=[(1,3),(0,2),(-1,4)] and C = [(1,2,3,-4),(2,0,-2,1)] then find A(BC) and (AB) C. Show that A(BC) =(AB) C.

If A = [(1,-1),(2,3)], B = [(1,3),(-1,4)] and C = [(2,-2),(3,0)] verify that A(BC) = (AB)C .

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)]andC=[(4,1,2),(0,3,2),(1,-2,3)] then compute (A + B) and (B - C). Also verify that A + (B - C) = (A + B) - C.

If A=[(1,2,-3),(5,0,2),(1,-1,1)] , B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] thern compute (A+B) and (B-C). Also verify A+(B-C)=(A+B)-C.

If A = [(4,-1),(0,3)], B = [(1,2),(-1,3)] and C = [(1, -2),(3,5)] verify that A(BC) = (AB)C .

If A = [{:(1,2),(-2,3):}], B= [{:(2,1),(2,3):}] and C = [{:(-3,1),(2,0):}] ,verify that (AB)C = A(BC) and A(B+C)=AB+AC.

If A=[(1,2,3),(2,3,1)] and B=[(3,-1,3),(-1,0,2)] , then find 2A-B .

If A=(0,1)B=(1,0),C=(1,2),D=(2,1) , prove that vec (A B)= vec (C D)

Given A=[(1,1,1),(2,4,1),(2,3,1)], B=[(2,3),(3,4)]. Find P such that BPA= [(1,0,1),(0,1,0)]

SUNSTAR PUBLICATION-P.U .BOARD LATEST MODEL QUESTION PAPER - 2 -PART-C
  1. Differentiate (x cos x)^(x)+(x sin x)^(1//x) with respect to x.

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  2. Find the absolute maximum value and the absolute minimum value of the ...

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  3. Find int(xe^(x))/((1+x)^(2))dx

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  4. Evaluate: int2/((1-x)(1+x^(2)))dx

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  5. Find the area bounded by the the curve y=cos x between x=0 and x=2pi.

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  6. Find the general solution of dy/dx+y=1(y!=1)

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  7. Find the value of p so that the lines (1-x)/3=(7y-14)/(2p)=(z-3)/2 and...

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  8. Find the area of the rectangle having vertices A,B,C and D with positi...

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  9. Show that four points A,B,C and D with position vectors4i+5j+k,-(j+k),...

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  10. In answering a question on a multiple choice test a student either kno...

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  11. If f:ArarrA defined by f(x)=(4x+3)/(6x-4) where A=R-{2/3}, show that f...

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  12. If A=((1,1,-1),(2,0,3),(3,-1,2)),B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,...

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  13. Solve by matrix method: 4x+3y+2z=60, x+2y+3z=45, 6x+2y+3z=70

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  14. If y=3 cos(log x)+4sin(logx) show that x^(2)y(2)+xy(1)+y=0

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  15. A ladder 5cm long is leaning against a wall. The bottom of the ladder ...

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  16. Find the integral of sqrt(x^(2)-a^(2) with respect to x.

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  17. Find the area of the smaller region enclosed by the circle x^(2)+y^(2)...

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  18. Solve the differential equation dy/dx+2y tan x=sin x,y=0 when x=pi/3

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  19. Derive the equation of a plane perpendicular to a given vector and pas...

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  20. In an examination 20question of true-false are asked. Suppose a studen...

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