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SHARAM PUBLICATION-MODEL QUESTION PAPER-3-EXERCISE
- If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...
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- Evaluate the following integrals : int(cos^(-1)x)/(sqrt(1-x^(2)))dx.
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- Evaluate int(sin x - cos x)dx.
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- Prove that int0^(pi/2)lnsinxdx=pi/2ln( 1 /2)
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- Determine the area the of the region between the curves y=cos x and y=...
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- Solve the differential equation (1+x^2)(dy)/(dx)+y= tan^(-1)x
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- Show by vector method that the line joining the points (1, 4, 2) and ...
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- Find the co-ordinates of the point where the perpendicular from the or...
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- Find the equation of the plane passing through the line x = y = z and ...
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- Find the co-ordinates of the point where the (x - 2)/3 = (y+1)/4=(z-2)...
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- Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...
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- Solve for x, "tan"^(-1)((2x)/(1-x^(2)))+""cot"^(-1)((1-x^(2))/(2x))=...
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- Find graphically the maximum value of z = 2x + 5y subject to the const...
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- Find the values of a and b such that the function f defined by f(x) = ...
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- Use the function f(x) = x^(1/x),x gt 0 to show that e^pi )grt pi^e.
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- Evaluate int((1+sinx)/(1+cosx))e^(x)dx.
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- Evaluate int0^ pi x/(1+ sin x) dx
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- Find the solution of the following differential equations: (2x+y+1)dx+...
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- If veca,vecb and vecc are three vectors such that |veca|= 3,|vecb|= 4 ...
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- Find the coordinates of foot of perpendicular drawn from the point (0,...
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