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MODERN PUBLICATION-TEST PAPER 9-EXERCISE
- Write the derivative of y=sec^-1 (e^x + 1).
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- Write the set of points, where the function f(x) = x^(3) has relative ...
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- Write the value of int(0)^(π) sin^8x dx
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- Write the order and degree of e^(dy/dx) =x^2.
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- In each of the problems given below, find the work done by a force vec...
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- Find the vector equation of the line joining (2,1,3) and (4,-2,5).
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- Test whether the relations are reflexive, symmetric or transitive on t...
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- Let A=N xx N and let* be a binary operation on A defined by (a, b) * (...
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- A factory uses three different respurce for the manufacture of two dif...
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- Let A={1,2,3,...,9) and R be the relation on A xx A defined by (a, b) ...
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- If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...
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- Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...
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- If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).
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- Prove that [[b^2c^2, bc,b+c],[c^2a^2,ca,c+a],[a^2b^2,ab,a+b]] = 0
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- Find "a" and "b" such that the function f(x)={3ax+b, if x>1 11 if x=1 ...
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- If y= tan^-1 x then prove that (1+x^2) y(2) + 2xy(1) =0. Differentiate...
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- Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...
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- Find the intervals in which the function y=(lnx)/(x) is increasing and...
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- Evaluate int (x+1)dx/sqrt(x^2+2x-3))
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- Evaluate: int(0)^(2π) dx/(1+e^sin x).
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