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3 years ago

12

The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method

. y2 − x2 = 4, y = 3; about the x-axis

1 answer:

Marysya12 [62]3 years ago

4 0

Step-by-step explanation:

it actually equals 3 you x=+_√7 buy washing method

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if BA is extended all the way through A creating BF and A becomes the midpoint of BF, then what are the coordinates of F

gogolik [260]

Answer:

$F(2x_A-x_B,2y_A-y_B)$

Step-by-step explanation:

Let points A, B and F have coordinates $A(x_A,y_A),$ $B(x_B,y_B)$ and $F(x_F,y_F).$

If BA is extended all the way through A creating BF and A becomes the midpoint of BF, then the midpoint A of the segment BF has coordinates:

$\dfrac{x_B+x_F}{2}=x_A\\ \\\dfrac{y_B+y_F}{2}=y_A$

Express coordinates of point F:

$x_B+x_F=2x_A\Rightarrow x_F=2x_A-x_B\\ \\y_B+y_F=2y_A\Rightarrow y_F=2y_A-y_B$

Hence,

$F(2x_A-x_B,2y_A-y_B)$

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3 years ago