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If the function f:[1, oo) rarr [ 1,oo) d...

If the function f:[1, `oo) rarr [ 1,oo)` defined by f(x) = `2^(x(x -1))` is invertible, then find `f^(-1)` (x).

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ARIHANT PRAKASHAN-VERY SIMILAR TEST 4 -Section - B
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  2. If the function f:[1, oo) rarr [ 1,oo) defined by f(x) = 2^(x(x -1)) ...

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  5. If sin^(-1) x + tan^(-1) x = (pi)/(2) , then prove that 2x^(2) + 1 = s...

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  6. For the matrices A and B , verify that (AB) =B'A' , where A=[{:(1,),(...

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  7. If A = [(1,2),(0,-1)] and B = [(0,1),(3,2)] , then show that |AB| = |A...

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  8. A can hit a target 4 times out of 5 times, B can hit the target 3 time...

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  9. Find A^(-1) , " if " A = [(2,4),(1,7)]

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  10. A fair die is rolled consider the following events A={2,4,6} ,B={4,5}...

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  11. A fair die is rolled consider the following events A={2,4,6} ,B={4,5}...

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  12. If y=asinx+bcosx, then prove that (d^(2)y)/(dx^(2))+y=0

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  13. Check whether Lagrange.s mean value theorem is applicable to f(x) = x^...

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  14. Find the point on the curve, y=2x^2-6x-4 at which the tangent is paral...

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  15. Using differentials, find approximate value (255)^(1//4)

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  16. If f(x) = {((1-cos4x)/x^2, when x<0),(a, when x=0),((sqrtx)/(sqrt(16 +...

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  17. Find int x^(2) e^(x) dx

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  18. Find the particular solution of the differential equation log ((dy)/(...

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  19. Find the general solution of the differential equation (dy)/(dx) = y ...

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  20. Find the area between X - axis and the curve y = sin x from x = 0 to ...

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