## Question

###### Wah err Kelalcu RAlcHur Aa ing Rclalcd Em Tlm Dmt picture representing the siluation arbilmr' Lincl 4untitic s chanaing Mld CTLIAn WWnlc inlon_lIc gvci "cleulus; Tomn Wntc imr unt EQuML. [umnulns Tcenccuuitiun lommuln rehting ipprunnalc (nluninalion Dillcrentiate #RIMe AIle THEN substitule !aluesH) Oil is leaking from Dincnc uk sunact 0l 1 Ic ane loms slick #hose Alumx McTensc' codstant rlc 0l ZU cubic ccninicIcrs pct munuLC The oil slick takes Ihe fommt of # righ: citcular cylin

Wah err Kelalcu RAlc Hur Aa ing Rclalcd Em Tlm Dmt picture representing the siluation arbilmr' Lincl 4untitic s chanaing Mld CTLIAn WWnlc inlon_lIc gvci "cleulus; Tomn Wntc imr unt EQuML. [umnulns Tcenccuuitiun lommuln rehting ipprunnalc (nluninalion Dillcrentiate #RIMe AIle THEN substitule !alues H) Oil is leaking from Dincnc uk sunact 0l 1 Ic ane loms slick #hose Alumx McTensc' codstant rlc 0l ZU cubic ccninicIcrs pct munuLC The oil slick takes Ihe fommt of # righ: citcular cylindcr #iin tol TcI unL Kcht changing #ith time:. (V Ir"h) Atthe insLani when the radius of the oil slick IO0 cm and the height i the radius inctcasing 21 thc rale 0f2 cnuminule ALns Insleni Ilc: Hic :es oftha height - thc &il slic: #il Tcsrcct CnLMat 2) All edges of 4 cubx are expanding cmlece How fast is thc volume changing wlen cach edge J) A rilroad track ind oad Cioss right angles; observer stands on the road 70 mcler> soulh oftke crossing and watches cbo md [rain (rateling 60 meter Rer second: Athow muny inclers IT Scono is tha train moving 4WwX' from the obsenver ~cnnasiller ilL through the imersection? 4A foot laddcr leans arainst The dop eftk laddet lidina dowr Iemi rale of14 How fast thcbase of the ladder moving away from Ike wall when the tOp ol the ladder i Icct high? b) How fasl Agle eevlon changing hulainsn Folftt ball inlo poad of still waler_ causine circular ripple Ifthe radius of the cirele increaszs at conctann Malc oT mscc , how Ixst 6 the arex 0l the circle increasing when the rdjus of the npple is 2 m? plana: in Ievel flight altitude of 6 miles pusses Over ME [09. If th: distance between ME [09 anJ the pliC increasing at 4 rate 0f 5 miles / min: how fast is the plane going when they are [0 miles gpan? walks towards the base 0f & 300-ft. tower the rale 0f 264 f / minute . How fast is the angle of elevation from his fect = the top of the [O#er changing when he 400 fect from lhe base 0f the = lowez Grain pouring fromn chute at 12 cubic feet minule and falls conical plic whose bortom rudius always halfthe altitude. How fast will the height of the pile be changing when the Fiki$ - high? inflaled the rale of I0 in' / minute #hich _ the surlace arca of thc spherical balloon Find the rate balloon = increasing when the radius 0f the sphere atthe 10) Liquid leaking from the bottom of a conical funnel which has height of !6 inches with 4 radust top of 4 inches. Ifthe keakage 5 cubic inches Second depth of the liquid changing rate how T1St uhen the Ievel - anchcs decp?