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The minimum value of e^((2x^2-2x+1)sin^(...

The minimum value of `e^((2x^2-2x+1)sin^(2)x)` is a. `e` (b) `1/e` (c) 1 (d) 0

A

e

B

`1//e`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
3
Given `y=e^(2x^(2)-2x+1)sin^(2)x=e`
Clearly the minium value occurs when sinT(2)x =0 as
`[(x-1/2)^(2)+1/4]ge1/4`
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