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Write the derivative of y=sec^-1 (e^x + ...

Write the derivative of `y=sec^-1 (e^x + 1)`.

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`e^x/(e^x +1) sqrt e^2x+e^x`
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MODERN PUBLICATION-TEST PAPER 9-EXERCISE
  1. Solve the following : [[0,x-a,x-b],[x+a,0,x-c],[x+b,x+c,0]]=0

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  2. If A = ((1,0,2),(5,1,x),(1,1,1)) is a singular matrix the, what is the...

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  3. Write the derivative of y=sec^-1 (e^x + 1).

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  4. Write the set of points, where the function f(x) = x^(3) has relative ...

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  5. Write the value of int(0)^(π) sin^8x dx

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  6. Write the order and degree of e^(dy/dx) =x^2.

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  7. In each of the problems given below, find the work done by a force vec...

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  8. Find the vector equation of the line joining (2,1,3) and (4,-2,5).

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  9. Test whether the relations are reflexive, symmetric or transitive on t...

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  10. Let A=N xx N and let* be a binary operation on A defined by (a, b) * (...

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  11. A factory uses three different respurce for the manufacture of two dif...

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  12. Let A={1,2,3,...,9) and R be the relation on A xx A defined by (a, b) ...

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  13. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

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  14. Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...

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  15. If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).

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  16. Prove that [[b^2c^2, bc,b+c],[c^2a^2,ca,c+a],[a^2b^2,ab,a+b]] = 0

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  17. Find "a" and "b" such that the function f(x)={3ax+b, if x>1 11 if x=1 ...

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  18. If y= tan^-1 x then prove that (1+x^2) y(2) + 2xy(1) =0. Differentiate...

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  19. Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...

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  20. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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