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Let f(x)=tanx, -pi/2<x<pi/2 and g(x)=sqr...

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

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PRADEEP PUBLICATION-MODEL PAPER (1)-EXERCISE
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  2. Find the probability of throwing a total of 8 in a single toss of a pa...

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

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

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

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

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

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

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  15. Find the distance of the point (-1, -5, -10) from the point of interse...

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

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

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  18. Evaluate: underset(0)overset(pi//2)int(x)/(sinx+cosx)dx

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  19. Evaluate int (sinx)/(sin4x)dx.

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