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Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex...

Let `f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex}",",1ltxle2):}`and `g(x)={:{(max{3//8t^(4)+1//2t^(3)-3//2t^(2)+1","0letlex}","0lexle1),(min{3//8t+1//32sin^(2)pit+5//8","1letlex}1","lexle2):}`
The function `f(x),AAx in [0,2]` is

A

continuous and differentiable

B

continuous but not differentiable

C

discontinuous

D

None of the above

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-EXAMPLE
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  2. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  3. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  4. Solve , x/3 - x/8 = 5/12

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  6. Solve (2x +3)/3 = (7x + 45)/(15)

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  7. Solve , (x^2 - (x + 1)(x + 2))/(5x + 1) = 6

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  8. Prove that (7! - 5!)/(5!) = 41

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  9. If a function (continuos and twice differentiable) is always concave u...

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  10. Solve 3x + 2(x + 2) = 20 - (2x - 5)

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  12. Match the Statements of Column I with values of Column II.

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  13. Match the Statements of Column I with values of Column II.

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  14. The set of all points where f(x) is increasing is (a,b)cup(c,oo). Find...

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