Question 1047332
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Please find the minimum and maximum values of the expression {{{sin^8(x)+cos^14(x)}}}.
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<TABLE> 
  <TR>
  <TD> 

{{{graph( 330, 330, -0.5, 3.5, -1.5, 1.5,
          (sin(x))^8 + (cos(x))^14, x^7+(1-x)^4
)}}}


Plots y = {{{sin^8(x)+cos^14(x)}}} (red) and y = {{{x^7+(1-x)^4}}} (green)

  </TD>
  </TR>
</TABLE>


I am sending these plots to attention of the tutor "robertb" to show 
that the minimum of z = {{{w^7 + (1-w)^4}}} is slightly shifted from the minimum of {{{sin^8(x)+cos^14(x)}}}.