Question

Please help with this someone

Answer 1

Ive worked out I and II but I'm not too sure whether my answer is right for III
II) X Coordinate of A is 4.5

Answer 2

III my answer is 34.13603897 pi

Answer 3

did you break the region R into two separate regions?

Answer 4

What are some intermediate steps you've got

Answer 5

i was taught to combine the two equations

Answer 6

What area did you get for R?

Answer 7

okay here is how i started

Answer 8

you have to break the regions into two parts

\[R=\int_0^4f(x)\,\mathrm dx+\int_4^{4.5}L(x)\mathrm dx\]

Answer 9

okay thanks.
But how did you get the limits?

Answer 10

ohhh i see so it's not possible to just combine the equation and integrate that?

Answer 11

Also do i just Find the volume of both R regions and then add them together?

Answer 12

find R_1, and R_2, add them together to get R, then find the volume

Answer 13

okay thank you

Answer 14

once you've proven or gotten the equation of line L, you needn't do that extra step
you base it on the total shaded area under the curve

Answer 15

if you show your solution to (i) it'd be easier to validate your volume solution

Answer 16

so you have curved equation of
\[y = \sqrt{x}\]
that intersects line L at point (4,2) and it also says that L is normal to the graph
go back to definitions
Normal line is the line perpendicular to the tangent at the point of tangency