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- If f(x)=4^x/(4^x-2) then find the value f(x)+f(1-x).
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- The number of disitinct real roots of x^4-4x^3+12x^2+x-1=0 is
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- The maximum value of the expression1/(sin^2theta+3sinthetacostheta+5co...
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- Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):} then number o...
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- Let p(x)be a polynomial of degree 4 having extremum at x = 1,2 and lim...
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- Consider the function f(x)=8x^2-7x+5 on the interval [-6,6] .the valu...
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- Given, f(x)=(x-1)/(2x^2-7x+5) when xne1 Find the derivative of f(x) a...
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- lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0
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- if y=x^3 then prove that xdy/dx-3y=0
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- Find the intervals in which the following functions are increasing or ...
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- Find the intervals in which the follwing functions are increasing or d...
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- Find the intervals in which the follwing functions are increasing or d...
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- Find lim(x->0)(sin(pisin^2(x))/x^2)
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- lim(x to 0) (1-cosx)/x^2 = ?
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- If f(x)=ax^3+bx^2+cx+d has local extrema at two points of opposite si...
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- Prove that if 2a0^2lt15a all roots of x^5-a0x^4+3ax^3+bx^2+cx+d=0 can...
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- Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where ...
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- Let a+b=4, where a gt 2 and let g(x)be a differentiable function. If ...
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- On the curve x^3=12y the abscissa changes at a faster rate than the or...
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- A spherical iron ball 10 cm in radius is coated with a layer of ice of...
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