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PRADEEP PUBLICATION-MODEL PAPER (1)-EXERCISE
- At x = 0, the function f(x) = |x| is
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- If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and...
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- Find the standard deviation of the Binomial dustribution B(4,1/3).
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- Evaluate: intlogxdx
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- Find (dy)/(dx) when y=sin(cos^-1x), |x|<1.
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- Solve the equation 2x-3y=7, 3x+2y=4 using Cramer's rule.
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- 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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