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If x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2), fi...

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

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PRADEEP PUBLICATION-MODEL PAPER (1)-EXERCISE
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  2. Let A=[(1,1,1),(0,1,1),(0,0,1)] prove that by induction that A^n=[(1,n...

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

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

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

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

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

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

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  9. If veca=(1,1,1), vecb=(0,1,-1) are two given vectors then find a vecto...

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

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

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

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

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

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  15. Maximize Z=6x+3y subject to constraints xge0, yge0, 4x+yge80, x+5yge11...

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  16. Find the shortest distance between the lines.(x-8)/3.(y+9)/-16 = (z-10...

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  17. A window has the shape of a rectangle surmounted by an equilateral tri...

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  18. The area lying above x-axis and included between the circle x^2+y^2=8x...

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  19. Solve the following equations by matrix inverse method. 2/x-3/y+3/z=10...

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