Consider the closed region bounded by y = 4e−x, y = 4, and x = 5. in each case, write an integral giving the volume of the solid. (a) rotate the region around the x-axis. 5 π(4−4e−x)2 0 dx (b) rotate the region around the line y = 4. dx

the axial of symmetry

step-by-step explanation:

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.