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The Equations Y2 = 4x and X2 = 4y Define

Question 10

Multiple Choice

The equations y2 = 4x and x2 = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y2 = 4x and above the curve x2 = 4y about
(a) the x-axis and
(b) the y-axis.


A) (a) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units, (b) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units
B) (a) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units, (b) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units
C) (a) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units, (b) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units
D) (a) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units, (b) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units
E) (a) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units, (b) The equations y<sup>2</sup> = 4x and x<sup>2</sup> = 4y define the bounds of a plane region. Find the volume of the solid obtained by rotating the region to the right of the curve y<sup>2</sup> = 4x and above the curve x<sup>2</sup> = 4y about (a)  the x-axis and (b)  the y-axis. A)  (a)    cubic units, (b)    cubic units B)  (a)    cubic units, (b)    cubic units C)  (a)    cubic units, (b)    cubic units D)  (a)    cubic units, (b)    cubic units E)  (a)    cubic units, (b)    cubic units cubic units

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