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grin007 [14]
3 years ago
7

Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y=x+2 and the parabol

a y=x^2 about the following lines.
(A) The line x=2
(B) The line x=-1
(C) The​ x-axis
(D) The line y=4
Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

8 π or

25.13 unit^3 to the nearest hundredth.

Step-by-step explanation:

(A)

The height of the shell is (2 + x - x^2) and  the radius is (2 - x).

V = 2π ∫(2 - x)(x + 2 - x^2) dx  between the limits x = 0 and x = 2.

=  2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx

 = 2π ∫ (x^3 - 3x^2 + 4 ) dx

= 2π [ x^4/4 - x^3 + 4x ]  between x = 0 and x = 2

= 2 π [4 - 8 + 8 )

= 2 π * 4

= 8π

= 25.13 unit^3 to the nearest hundredth.

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Answer:

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nata0808 [166]

Answer:

The coordinates of the reflected triangle are X'(x,y) = (-3,-2), Y' (x,y) = (-5,1) and Z'(x,y) = (2,-3).

Step-by-step explanation:

Let be a point (a,b)\in\mathbb{R}^{2}, reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

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y-Axis reflection:

d = d'

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a' = -a

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The coordinates of the reflected triangle are X'(x,y) = (-3,-2), Y' (x,y) = (-5,1) and Z'(x,y) = (2,-3).

8 0
3 years ago
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Step-by-step explanation:

here's the solution :-

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I assume you're asking to convert 114₅ to base 10. We have

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See attachment foe the figure.

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