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Give example of a function which is incr...

Give example of a function which is increasing in `(-oo,2)` and `(3,oo)` and decreases in (2,3).

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f(x)=2x^3 -15x^2 + 36x
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MODERN PUBLICATION-TEST PAPER 6-EXERCISE
  1. IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5...

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  2. If xin((3pi)/4,pi) what is dy/dxfor y = | cos x | + | sin x | ?

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  3. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

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  4. What is the value of int e^(x)dx.

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  5. Write the solution of sqrt 3x+dy/dx=2.

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  6. Write the equation of the line passing through the points (3,-2,-5) an...

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  7. Find the volume of parallelopiped with edges 2vec i-3vec j ,vec i +vec...

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  8. Show that the relation R on the set A = {1,2,3,4,5) given by R = {(a,b...

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  9. Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...

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  10. A merchant sells two models X and Y of TV with cost price ₹ 25000 and ...

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  11. A binary operation * is defined on the set X=R-{-1} by x**y=x+y +xy,...

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  12. Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab

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  13. Using determinants, find the values of a if the area of triangle with ...

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  14. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

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  15. Using properties of determinant prove that |{:(alpha,beta,gamma),(alph...

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  16. Differentiate tan^-1((2x)/(1-x^2)).

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  17. Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...

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  18. Find dy/dx if y=(cosx)^x.

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  19. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  20. Find the interval where y=sin2x-cos2x,xin[0,2pi] is (a) incresing (b)...

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