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Find the total number of solutions to si...

Find the total number of solutions to `sinpix=|In|x||`.

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We have `sinpix=|In|x||" "(i)`
To find the roots of Eq.(i), we draw the graphs of `y=sinpixandy=|In|x||` and find their points of intersection.
Graph of `y=sinpix` is a simple sine curve with period '2.
The graphs of both functions are as shown in the following figure.

From the above figure, the number of roots of Eq. (i) is '6'.
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CENGAGE-GRAPHICAL TRANSFORMATIONS-Exercise
  1. Find the total number of solutions to sinpix=|In|x||.

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  2. Draw the graph of y=tan^(-1)x-cot^(-1)x.

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  3. Draw the graph of y=|(1)/(|x|)-2|.

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  4. Draw the graph of y=tan^(-1)x+cos^(-1)x+sin^(-1)x.

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  5. Draw the graph of |y|=(x-1)(x-2)(x-3).

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  6. Draw the graph of y=2sin^(-1)(x//3).

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  7. Draw the graph of y=cot^(-1)|x|.

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  8. Draw the graph of y=sec^(-1)|x|.

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  9. Draw the graph of y=|log(e)(x+3)|.

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  10. Draw the graph of y=|log(e)|x||.

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  11. Draw the graph of y=|{x}-0.5|, where {.} represents the fractional par...

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  12. Draw the graph of y=|sinx|+sin|x|.

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  13. If the graph of y=|f(x)| is as shown in figure then the graph of y=f(...

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  14. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

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  15. Find the number of real solutions to the equation log(0.5)|x|=2|x|.

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  16. Find the number of points where the function f(x)=max|tanx|,cos|x|) is...

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  17. Find the number of points of non-diferentiability for f(x)=max{||x|-1|...

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  18. Let f(x) = max. {|x^2 - 2| x ||,| x |} then number of points where f(x...

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  19. Draw the graph of |y|=[x], where [.] represents the greatest integer f...

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  20. Draw the graph of |2x|+|y|=2 using graphical transformation.

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  21. Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1 Then draw t...

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