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FULL MARKS-SAMPLE PAPER 03-PART IV
- Solve the following system of homogeneous equations. 3x+2y+7z=0,4x-3...
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- Two cards are drawn with replacement from a well shufflied deck of 52 ...
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- Show that((19 + 9i)/(5 - 3i))^(15) - ((8 + i)/(1 + 2i))^(15) is purely...
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- Define an operation * on Q as follows: a * b =((a+b)/(2)), a, b in Q. ...
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- Solve (x – 3) (x – 6) (x - 1) (x + 2) + 54 = 0.
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- Find the local extrema of the function f(x)=4x^(6)-6x^(4)
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- Prove thate tan^(-1)((2)/(11))+tan^(-1)((7)/(24))=tan^(-1)((1)/(2))
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- If v(x,y) = log((x^(2) +y^(2))/(x+y)), prove that x(del v)/(del x) +...
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- Find the equations of the two tangents that can be drawn from (5,2) ...
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- Find the coordinates of the foot of the perpendicular and length of th...
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- Solve (x+y)^(2)(dy)/(dx) =a^(2)
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- A police jeep, approaching an orthogonal intersection from the norther...
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- Let w(x, y, z)=(1)/(sqrt(x^(2)+y^(2)+z^(2)))(x, y, z) != (0, 0, 0). Sh...
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- Evaluate the following : int(0)^((pi)/(2)) ( e^(-tanx))/( cos^(6)x)d...
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