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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
- If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2
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- If R=([1+((dy)/(dx))^2]^(3//2))/((d^2y)/(dx2)) , thenR^(2//3) can be p...
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- If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a)3/2 (b) 3/(4t) (c) 3/(2t) (...
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- The function f(x)=(x^3)/8-sinpix+4 in [-4,4] does not take the value a...
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- If f(x)={(|x|-3 when x < 1), and (|x-2|+a , when x >= 1) & g(x)={2...
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- The number of points of discontinuity of f(x)=[2x]^(2)-{2x}^(2) (where...
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- The number of points of discontinuity of g(x)=f(f(x)) where f(x) is ...
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- Consider two function y=f(x) and y=g(x) defined as f(x)={{:(ax^(2)+b...
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- If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is cont...
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- Let f(x)=(lim)(n rarr oo)sum(r=0)^(n-1)x/((r x+1){(r+1)x+1}) . Then (...
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- Let f(x)={lim(n->oo)(a x(x-1)(cot((pix)/4))^n+(p x^2+2))/((cot((pix)/...
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- If f(x)={(sinx, x != npi " and " n in I2), (2, " x=npi):} and g(x)={(x...
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- The number of points at which g(x)=1/(1+2/(f(x))) is not differentiabl...
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- If f(x)=x^(1//3)(x-2)^(2//3) for all x , then the domain of f' is a. x...
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- Consider two functions y=f(x) and y=g(x) defined as f(x)={[a x^2 +b...
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- Let f be a function with continuous second derivative and f(0)=f^(prim...
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- Let f(x) be a function defined on (-a ,a) with a > 0. Assume that f(x)...
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- Let f: R->R be any function. Also g: R->R is defined by g(x)=|f(x)| fo...
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- Let f(x)=[(1-sinpix)/(1+cos2pix), x<1/2 and p , x=1/2 and sqrt(2x-1)...
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- For which of the following functions f(0) exists such that f(x) is con...
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