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PRADEEP PUBLICATION-MODEL PAPER (1)-EXERCISE
- Evaluate underset(xrarrx/2)lim [sinx]. If it exists. Here [] denotes t...
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- Find the equation of the plane containing the points (1,0,0),(0,2,0) a...
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- Find the probability of throwing a total of 8 in a single toss of a pa...
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- Let f(x)=tanx, -pi/2<x<pi/2 and g(x)=sqrt(1-x^2). Describe gof.
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- The range of the function f(x)=(x^2-x)/(x^2+2x) is:
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- Prove that tan^(-1)((sqrt(1-x^(2)))/(1+x))=(1)/(2)cos^(-1)x
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- 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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- Let A=[(1,1,1),(0,1,1),(0,0,1)] prove that by induction that A^n=[(1,n...
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- Let f(x) = {:{(x+a, x le1),(ax^2 + 1, x > 1):}. Show that f is continu...
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- If x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2), find (dy)/(dx) at x=2.
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- The total cost C(x) and the total revenue R(x) associated with the pro...
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- Find the interval of increase and decrease of the function f(x)=log(1+...
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- Evaluate int (e^x)dx/(sqrt(5-4e^x-e^(2x)) , x<0.
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- By examining the chest X-ray, the probability that TB is detected when...
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- If veca=(1,1,1), vecb=(0,1,-1) are two given vectors then find a vecto...
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- Find the distance of the point (-1, -5, -10) from the point of interse...
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- Mathematics teacher of class XII in a school faced an awkward situatio...
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- Mathematics teacher of class XII in a school faced an awkward situatio...
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- Evaluate: underset(0)overset(pi//2)int(x)/(sinx+cosx)dx
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- Evaluate int (sinx)/(sin4x)dx.
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