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fiasKO [112]
3 years ago
11

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

th equal area. Give your answer correct to 3 decimal places.
Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
Hello,

We may exchange x and y.
-A_1= \int\limits^b_0 {x^2-1} \, dx = \dfrac{b^3}{3} -b\\
-A_2= \int\limits^1_b {x^2-1} \, dx =- \dfrac{2}{3} - \dfrac{b^3}{3}+b\\
-A_1=-A_2==\textgreater\ b^3-3b+1=0\\
sol={1.532088886238 ,  -1.879385241572 , 0.347296355334 }\\
The\  solution\  is\ 0.347296355334 .≈0.347



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A gem cutter cuts a polyhedral crystal from a garnet gemstone. The crystal has 10 fewer vertices than edges and twice as many ed
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Answer:

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A polyhedron is a three-dimensional shape with straight edges and flat faces and sharp corners.The point where the faces of a polyhedron meet each other is known as the edge while the corners of the polyhedron is known as the vertices.

Euler formula gives the relationship between the number of vertices (V), faces (F) and edges (E) of a polyhedron. This formula is given as:

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Given that:

E - V = 10, Therefore E = V + 10

F = 2 × V = 2V

Substituting into the Euler formula:

2V + V - (V + 10) = 2

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2V = 12

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Therefore, E = V + 10 = 6 + 10 = 16

F = 2V = 2 × 6 = 12

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3 years ago
Whats 45 572 in words
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That is:
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3 0
3 years ago
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Snowcat [4.5K]
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less than tells you that you must be less than, but not euqal to. example
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less and greater than is nice since if you found a solution and you wanted to notate it, example
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2 years ago
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natka813 [3]
Known facts:
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Answer:

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hopefully this answer can help you to answer the next question.

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