Would you mind opening the window?

Mado o aketemo yoroshii desuka. : Would you mind opening the window ?
mado : window
akeru : open
(ake-nai, ake-masu,akeru,akeru-toki,akereba,akero,akeyou,aketa)
yoroshii : good, ok
desuka : ?

mado o akeru : open the window

(verb(-masu pattern))-temo yoroshii. : verb-ing is good
(verb(-masu pattern))-temo yoroshii desuka. : Is it good (OK) verb-ing?

Mado o aketemo yoroshii desuka : window, opening, good , ? : Would you mind opening the window?

Denwa o karitemo yoroshii desuka : telephone, borrow, good,? : Can I use the telephone?
kariru : borrow, use something which is no mine
(kari-nai, kari-masu, kariru,kariru-toki,karre-ba,kariro,kariyou,karita)

okarisuru : very polite word of "kariru"
o : a prefix to make the word polite
suru : do
o+kariru+suru : okarisuru

Denwa o okarishitemo yoroshii desuka : May I use the telephone ?

In spite of "kariru",you can use "tsukau" as "use".
tsukau : use
(tsukawa-nai,tsukai-masu,tsukau,tsukau-toki,tsukae-ba,tsukae,tsukaou,tsukatta)
When "tsukau" is attached with "-temo", euphonic change is needed.

tsukattemo : tsukai-temo

Denwa o tsukattemo yoroshii desuka. : Can I use the telephone ?

suwaru : sit down
(suwara-nai,suwari-masu,suwaru,suwaru-toki,suware-ba,suware,suwarou,suwatta)
Suwattemo yoroshii desuka : Can I sit down?
suwattemo : suwari-temo

tatsu : stand up
(tata-nai,tachi-masu,tatsu,tatsu-toki,tate-ba,tate,tatou,tatta)
Tattemo yoroshii desuka : Can I stand up ?
tattemo : tachi-temo