An object is placed $17\mathrm{.}2$ cm from a first converging lens of focal length $12\mathrm{.}0$ cm $.$ A second converging lens with focal length $5\mathrm{.}00$ cm is placed $10\mathrm{.}0$ cm to the right of the first converging lens.

$($a$)$ Find the position $q_1$ of the image formed by the first converging lens. $($Enter your answer to at least two decimal places.$)$

$$

$($b$)$ How far from the second lens is the image of the first lens? $($Enter your answer to at least two decimal places.$)$ cm beyond the second lens

$($c$)$ What is the value of $p_2,$ the object position for the second lens? $($Enter your answer to at least two decimal places.$)$

$$ cm

$($d$)$ Find the position $q_2$ of the image formed by the second lens. $($Enter your answer to at least two decimal places.$)$

$$ cm

$($e$)$ Calculate the magnification of the first lens.

$($f$)$ Calculate the magnification of the second lens.

$($g$)$ What is the total magnification for the system?

$($h$)$ Is the final image real or virtual $($compared to the original object for the lens system$)?$

real

virtual

Is it upright or inverted $($compared to the original object for the lens system$)?$

upright

inverted