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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
- Find dy/dx, when x=acos t + at, y = asin t -at, where t is the param...
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- Find dy/dx, when x log x + y log y + xy - 5x + 2y + 3 = 0
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- Find dy/dx, when y = x^x+(sin x )^(cosx)
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- If the radius of a circle changes at a uniform rate of 2 cm/s, find th...
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- A particle is moving in a vertical line whose equation of motion is gi...
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- Find the equation of the tangent and the normal at the point (0, -1) t...
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- For the function f(x) = 2x^3-8x^2+10x+5, find the interval (s) in wh...
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- For the function f(x) = 2x^3-8x^2+10x+5, find the interval (s) in wh...
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- Investigate the increasing or decreasing behaviour of the following fu...
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- If xgt0,ygt0 and x+y=1, then find the minimum value of x log x + y log...
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- Evaluate the following integrals : intx.e^xdx
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- Evaluate the following integrals : inte^(tan^-1x)/(1+x^2)dx
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- Evaluate the following integrals : intsecx(secx+tanx)dx
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- Evaluate the following integrals : int3^6abs(x-4)dx
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- Solve the following differential equations : xdy+ydx=0,at x=1,y=1
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- Solve the following differential equations : dy/dx+sqrt((1-y^2)/(1-x...
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- Solve the following differential equations : tan x cdotcos^2ydx+tan ...
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- Solve the following differential equations : x(1+y^2)dx+y(1+x^2)dy=0...
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- Let{x} and [x] denote the fractional and integral parts of a real numb...
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- If y = 2[x]+3 and y = 3[x-2]+5 and find [x+y]
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