Question

Consider the shaded region in the figure below and answer the following questions. $x+2y=2$ 1. An definite integral in terms of $x$ for finding the volume of the solid generated by revolving the shaded region about the $x$-axis is: $\int_a^b \pi [\frac{f(x)}{2}]^2 dx$ Identify the values of a, b and function $f(x)$, respectively. $a=0$ $b=2$ $f(x)=1-x$ 2. An definite integral in terms of $y$ for finding the volume of the solid generated by revolving the shaded region about the $y$-axis is: $\int_c^d \pi [g(y)]^2 dy$ Identify the values of c, d and function $g(y)$, respectively. $c=0$ $d = 1$ $g(y)=2-2y$ Note: Your answers to $f(x)$ and $g(y)$ should be simplified as much as possible.

          Consider the shaded region in the figure below and answer the
following questions.

$x+2y=2$

1.  An definite integral in terms of $x$ for finding the volume of the
    solid generated by revolving the shaded region about the $x$-axis
    is:
    $\int_a^b \pi [\frac{f(x)}{2}]^2 dx$
    Identify the values of a, b and function $f(x)$, respectively.
    $a=0$
    $b=2$
    $f(x)=1-x$

2.  An definite integral in terms of $y$ for finding the volume of the
    solid generated by revolving the shaded region about the $y$-axis is:
    $\int_c^d \pi [g(y)]^2 dy$
    Identify the values of c, d and function $g(y)$, respectively.
    $c=0$
    $d = 1$
    $g(y)=2-2y$

Note: Your answers to $f(x)$ and $g(y)$ should be simplified as much
as possible.

consider the shaded region in the figure below and answer the following questions x2y2 1 an definite integral in terms of x for finding the volume of the solid generated by revolving the sha 00667

Added by Francisco Javier W.

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