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UNITED BOOK HOUSE-SET 7-EXERCISE
- Prove that underset(x rarr 0)lim (log(1+x)+sinx)/(e^x-1) =2
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- If y = log{sinsqrt(x^2+1)} find (dy)/(dx)
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- Evaluate: int(e^(x loga)+e^(a log x)) dx
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- Write the order and degree of the differential equation ((d^2y)/(dx^2)...
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- Divide 24 into two parts such that their product is maximum.
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- If f(x) = 3x^2+15x+5, then find the approximate value of f(3.02), usin...
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- Can the numbers 1/2,-1/sqrt2, -1/2 be the direction cosines of a strai...
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- Find the equation of the line passing through the point(1,2,3) and par...
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- Two unbiased dice are thrown. Find the probability that the sum of the...
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- M and E are two equally strong football teams. Findthe probability tha...
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- Solve: tan^(-1)sqrt(x(x+1)+sin^(-1)sqrt(1+x+x^2) = pi/2
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- If A = [[1,-1],[2,-1]],B = [[a,1],[b,-1]] and (A+B)^2 = A^2+B^2 find a...
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- Evaluate: |[alpha, beta,gamma],[alpha^2,beta^2,gamma^2],[beta+gamma,ga...
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- Show that |[-1,b,c],[a,-1,c],[a,b,-1]|=(a+1)(b+1)(c+1)(a/(a+1)+b/(b+1...
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- If y = tan^(-1) ((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) ...
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- Evaluate: int (cos x-sinx )/sqrt(sin 2x)dx
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- Evaluate: int x sqrt((a^2-x^2)/(a^2+x^2))dx
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- Solve: cos^(-1)((dy)/(dx)) = x+y.
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- solve : sqrt(a^2+x^2)(dy)/(dx)+y= sqrt(a^2+x^2)-x
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- Find a unit vector in direction parallel to the sum of the vectors vec...
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