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Rainbow [258]
3 years ago
11

247÷10^2 and 247 ×10^2

Mathematics
1 answer:
Shalnov [3]3 years ago
7 0
PEMDAS:
247/100 = 2.47
247* 100 = 24700
*You must ALWAYS apply the exponents first, THEN divide the equation.
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Step-by-step explanation:

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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

     = ( 2π ) * [ 2/3 * y^3  - y^4 / 4 ] ²₀

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<u>c) The y-axis  ( using shell method )</u>

h = 2-y  = h = 2 - √x

p = x

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

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

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vol = ( 2π ) ( 16/5 ) = 32/5 π

<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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Answer:

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Step-by-step explanation:

3 0
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