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gizmo_the_mogwai [7]
3 years ago
11

Help pls on this worksheet

Mathematics
2 answers:
salantis [7]3 years ago
8 0

3/10

1/10

-10/3

-10

Savatey [412]3 years ago
6 0
1. 3/10
2. 1/10
3. -10/3
4. -10
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Find the number b such that the line y = b divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions wi
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Because of the symmetry, we can just go from x=0 to x=2 to find the area between 
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<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>

<span>so when y = b </span>
<span>x= √b </span>
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<span>∫(b - x^2) dx from 0 to √b </span>
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<span>= b√b - (1/3)b√b - 0 </span>

<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
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<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
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Step-by-step explanation:

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D) you just multiply the numerator and denominator by 6 to get an equivalent fraction
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