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If |veca +vecb| = |veca|+|vecb| then wha...

If `|veca +vecb| = |veca|+|vecb|` then what is the angle between `veca andvec b`

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MODERN PUBLICATION-TEST PAPER 4-PROBLEM
  1. what is the value of int1^4 (x)dx.

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  2. What is the order of the differential equation whose solution is ax^(2...

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  3. If |veca +vecb| = |veca|+|vecb| then what is the angle between veca an...

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  4. Write the equation of the plane perpendicular to z-axis and passing th...

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  5. Constract the composition table/multiplication table for the binary op...

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  6. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

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  7. Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...

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  8. (Allocation Problem.)A farmer has 5 acres of land on which he wishes t...

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  9. Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...

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  10. Prove that abs((a,b,c),(a^2,b^2,c^2),(bc,ca,ab))=(a-b)(b-c)(c-a)(ab+bc...

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  11. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

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  12. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

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  13. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

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  14. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

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  15. Prove that the curves x = y^(2) and xy = k cut at right angles, if 8k^...

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  16. Evaluate the following integrals int(dx)/(sinx(3+2cosx) put cosx=z

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  17. int0^(pi//2)(sqrttanx+sqrtcotx)dx

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  18. Determine the area of the region bounded by y^2=x^3 and the double ord...

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  19. Vectors vec(a), vec(b) and vec(c) are such that vec(a) + vec(b) + vec(...

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  20. If l(1), m(1), n(1) and l(2), m(2), n(2)  are the direction cosines of...

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