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Write the interval in which the function...

Write the interval in which the function `f(x)=sin^(-1)(2-x)` is differentiable.

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MODERN PUBLICATION-SAMPLE PAPER 2018-EXERCISE
  1. Write the principal value of sin^(-1) (-1/2) + cos^(-1) cos (-pi/2)

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  2. If every element of a third order determinant of value 8 is multiplied...

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  3. Write the interval in which the function f(x)=sin^(-1)(2-x) is differe...

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  4. A balloon is pumped at the rate of 2 cm^3// minute. Write the rate of ...

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  5. If p and q are respectively degree and order of the differential equat...

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  6. If (vec a times vec b)^2 + (vec a cdot vec b)^2=144, write the value o...

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  7. Write the equations of the line 2x+z-4=0=2y+z in the symmetrical form.

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  8. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

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  9. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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  10. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

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  11. Show that sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=co...

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  12. Sole the following LPP graphically Minimize Z=4x+3y subject to 2x+...

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  13. A bag A contains 2 white and 3 red balls and another bag B contains 4 ...

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  14. If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...

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  15. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

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  16. Differentiate y=(siny)^(sin2x)

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  17. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

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  18. Evaluate int (dx)/((x+1)sqrt(1-x^2))

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  19. Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2

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  20. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

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