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Evaluate underset(xrarrx/2)lim [sinx]. I...

Evaluate `underset(xrarrx/2)lim [sinx]`. If it exists. Here [] denotes the greatest integer function.

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PRADEEP PUBLICATION-MODEL PAPER (1)-EXERCISE
  1. Find (dy)/(dx) when y=sin(cos^-1x), |x|<1.

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  2. Solve the equation 2x-3y=7, 3x+2y=4 using Cramer's rule.

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  3. Evaluate underset(xrarrx/2)lim [sinx]. If it exists. Here [] denotes t...

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  4. Find the equation of the plane containing the points (1,0,0),(0,2,0) a...

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  5. Find the probability of throwing a total of 8 in a single toss of a pa...

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  6. Let f(x)=tanx, -pi/2<x<pi/2 and g(x)=sqrt(1-x^2). Describe gof.

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  7. The range of the function f(x)=(x^2-x)/(x^2+2x) is:

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  8. Prove that tan^(-1)((sqrt(1-x^(2)))/(1+x))=(1)/(2)cos^(-1)x

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  9. If A=[(-1,1,-1),(3,-3,3),(5,-5,5)] and B=[(0,54,3),(1,-3,-3),(-1,4,4)]...

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  10. Let A=[(1,1,1),(0,1,1),(0,0,1)] prove that by induction that A^n=[(1,n...

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  11. Let f(x) = {:{(x+a, x le1),(ax^2 + 1, x > 1):}. Show that f is continu...

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  12. If x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2), find (dy)/(dx) at x=2.

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  13. The total cost C(x) and the total revenue R(x) associated with the pro...

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  14. Find the interval of increase and decrease of the function f(x)=log(1+...

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  15. Evaluate int (e^x)dx/(sqrt(5-4e^x-e^(2x)) , x<0.

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  16. By examining the chest X-ray, the probability that TB is detected when...

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  19. Mathematics teacher of class XII in a school faced an awkward situatio...

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