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MODERN PUBLICATION-TEST PAPER 7-EXERCISE
- Evaluate int0^(1000)e^(x-[x])dx
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- Write the parameteric equation of a line through parallel to the vecto...
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- If alphahati +3hatj -hatk and 2hati + hatj-1/3hatk are parallel then ...
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- Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...
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- Given a non-empty set X, Let *: P(x) xx P(x) be defined as A**B =(A-B...
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- Let R be a relation on the set A of ordered pairs of positive integers...
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- Let R be the relation on the set R of real numbers such that aRb iff a...
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- An animal feed company must produce 200kg of a mixture consisting of i...
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- Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(ab...
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- If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...
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- Express as a sum of a symmetric and a skew symmetric matrix: [[x,a,b],...
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- Prove the following : [[sinalpha,cosalpha,cos(alpha+delta)],[sinbeta,c...
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- Test differentiability of the following function at the indicated poin...
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- if x=e^(t)sin t and y=e^(t)cos t, then prove that (x+y)^(2)(d^(2)y)/dx...
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- If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2
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- If tangents are drawn from the origin to the curve y = sin x then sho...
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- Test the function y = (x - 5)^5( x + 2)^2 for extreme values.
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- Evaluate : int ((sinxcosx)/(sin2x) - 2sinx+3)dx .
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- int0^(pi/2)(cosxdx)/((sinx+1)(sinx+2))
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- Solve : (x + 2y^3)dy/dx = y.
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