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Find d/(dx) In sin^(-1)cos((pi-2e^x)/2)....

Find `d/(dx)` In `sin^(-1)cos((pi-2e^x)/2)`.

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SHARAM PUBLICATION-MODEL QUESTION PAPER -16-EXERCISE
  1. Write the principal value of cos^(-1)(sqrt3/2)+cos^(-1)(-1/2).

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  2. If [[2x,4]] [[x],[-8]]=0then find the positive value of x.

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  3. Find d/(dx) In sin^(-1)cos((pi-2e^x)/2).

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  4. Find the open interval in which f(x)= x^(1/x), x > 0 is decreasing.

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  5. What is the value of int (1+1/x^2)/(x-1/x+4) dx

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  6. Write the particular solution of (dy)/(dx)=8x, given that y=2, when x...

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  7. If veca = 3hati+3hatj+hatk and vecb = -2hati+hatj-2hatk then what is t...

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  8. Find the value of k for which the line(x - 2)/3 = (1 - y)/k = (z - 1)/...

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  9. If f:R to R is defined as f(x)=10x +7. Find the function g:R to R, suc...

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  10. Show that the relation R on the set A of real numbers defined as R = {...

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  11. If S is a set of all rational numbers except 1 and ** be defined on S ...

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  12. If S is a set of all rational numbers except 1 and ** be defined on S ...

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  13. Prove that cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

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  14. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  15. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

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  16. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

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  17. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

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  18. Solve : |[x-a, 0, 0],[a, x-b, 0],[a, b, x-c]|=0

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  19. For what value of k is the function defined by {(k(x^2+2),when xle0),(...

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  20. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

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