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timofeeve [1]
3 years ago
8

Simplify (0.6x^4)(0.2x^6)

Mathematics
2 answers:
Eduardwww [97]3 years ago
5 0
(0.6x^4)(0.2x^6) 
<span>
  =<span><span>0.6<span>x^4</span></span>*<span>0.2<span>x^6</span></span></span></span><span>
  =<span><span><span>0.6*<span>x^4</span></span>*0.2</span>*<span>x^6</span></span></span><span>
  =<span><span>(<span>0.6*0.2</span>)</span>*<span>(<span><span>x^4</span>*<span>x^6</span></span>)</span></span></span><span>
  =<span>0.12*<span>x^10</span></span></span><span>
  =<span>0.12<span>x^<span>10</span></span></span></span>
EleoNora [17]3 years ago
4 0
Remember
(ab)(cd)=(a)(b)(c)(d)
and
(x^m)(x^n)=x^{m+n}

so
(0.6x^4)(0.2x^6)=(0.6)(x^4)(0.2)(x^6)=
(0.6)(0.2)(x^4)(x^6)=
(0.12)(x^{4+6})=0.12x^{10}
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<u>a) The x-axis </u>

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<u>b) The line y = 2  ( using the shell method )</u>

p = 2 - y

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vol = ( 2π ) \int\limits^2_0 {ph} \, dy

     = ( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy

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     = (2\pi ) \int\limits^4_0 {x(2-\sqrt{x}  ) } \, dx

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<u>d) The line x = -1    (using shell method )</u>

p = 1 + x

h = 2√x

vol = (2\pi ) \int\limits^4_0 {ph} \, dx

Hence   vol = 176/15 π

attached below is the graphical representation of P and h

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