MATHEMATICS 0-0-RE Dirnial Calculus Marin Huard Winr 08 XV Eponnial and Logarihmic Funcions. Skch h graph o h givn uncions and sa h domain and rang. d) ) ) log. Whn Sarah was born, hr parns placd $000 or hr in an 8-ar criica ha pas 6% compoundd monhl. How much mon will h criica b worh on hr 8 h birhda?. Sam as bu h inrs is compoundd coninuousl a a ra on %?. Which invsmn will arn mor mon, a $0 000 invsmn or ars a 8% compoundd annuall, or a $0 000 invsmn or ars a 7%, compoundd quarrl? Wha is h balanc in ach cas? Th civ ra?. How much mon should a compan dposi in an accoun wih a 8% compoundd quarrl in ordr o hav $00 000 or a crain pic o machinr ars rom now? 6. Eprss h quaion in ponnial orm. log8 log 9 log 7. Eprss h quaion in logarihmic orm. 8 7 00 8 9 0 000 8. Evalua acl (wihou h us o a calculaor). log log 0 log 9 log 6 d) log 8 ) ) log i) log g) log7 9 h) 9. Rwri ach prssion in a orm wih no logarihms o producs, quoins, or powrs. log6 0 d) z 0. Rwri h prssion as a singl logarihm. log log log ) 7 9
Mah 0 XV Eponnial and Logarihmic Funcions. Solv h quaion or. 7 ) g) 00 log d) 0 ) h) log log log 6 0 i) 0 j) 0 k) 0 l) 8. A dposi o $000 is mad in an accoun ha arns inrs a an annual ra o 8%. How long will i ak or h balanc o doubl i h inrs is compoundd annuall monhl dail d) coninuousl 0.00. Th dmand uncion or a produc is p0 0.8 whr p is h pric pr uni and is h numbr o unis sold. Find h numbr o unis sold or a pric o $00 $. Dirnia ach uncion.. Find d. sin d) ) g log ) g) h log h) log i) an j) k) l) n) sin m) o) p) sin q) sin r) cos s) z ) g z z u) sc sc z z v) csc csc ) d) 6 csc cos an ) an Winr 08 Marin Huard
Mah 0 XV Eponnial and Logarihmic Funcions 6. Find g) h) cos sin sin sin cos i) j) sin cos k) sin l). sin cos 7. Find i. 8. Find a gnral ormula or coupl o drivaivs. n i. Hin: Tr o s a parn in h irs 9. Find all h poins o h graph o whr hr is a horizonal angn. 0. Find h quaion or h angn lin o h graph o a. 0.06. Th balanc A (in dollars) in a savings accoun is givn b A 000, whr is masurd in ars. Find h ra a which h balanc is changing whn ars 0 ars ar. Th valu o a compur ars ar purchas is 0. h compur s valu alling ar ars? v 000 dollars. A wha ra is. Th cos (in dollars) or producing unis o a commodi is givn b C whil h dmand is givn b p a producion lvl o 0 unis. 00 000. Find h marginal cos, rvnu and proi or 0 Winr 08 Marin Huard
Mah 0 XV Eponnial and Logarihmic Funcions ANSWERS. Domain: Domain: 0, Rang: 0, Rang: Domain: d) Domain: Rang: Rang:,, ) Domain: Rang: 0, ) Domain: Rang: / 0 0. 6 000 $ 96.77. 00 7. A 8% sinc a 8% 8 000 $0. A 0000 $69.8 ( r 8% ) 07 whil a 7%: 0000 0 07 A $7.78 ( 0. 0 6. 00 00000 $67 97. 8 7. log 8 8. ) g) 6 6 r 00 7.9% ) 7 9 0 00 log 9 log000 8 d) 99 ) h) i) - 0 9. log log 0. d) z ) log 8. log 6.8 00 7. 0.8 d) 999 ) i) ) g) h). 97 9 j) k) 0 l), - 9.00 ars 8.69 ars 0 8.67 ars d) 6 8.66 ars 6. 00 87 unis 00 00 unis Winr 08 Marin Huard
Mah 0 XV Eponnial and Logarihmic Funcions cos sin.. sin d) ) g ) log g) h log an i) sc j) 0 h) k) 60 l) m) n) sin cos 6sin cos 0 log Winr 08 Marin Huard sin o) 8 p) sin q) cos r) an z z z ) z s) z z z z u) z z z g z v) csc csc an sc an csc co csc co csc co d d) cos d sin d d ) an an sc d an an sc g) ) d d h) i) cos sin sin cos an co d 6 d sin sin sin sin cos j) co co an an d cos k) sin sin sin co d l) d 8. 6. cos sin 7. 9. 0,0,, and. 0 80 $9.. Falling a a ra o 700 0 $0.9 n n n, 0. 0 80 $0.9 $.96 pr ar. R 0 $. 80 $7.98 0 9. C pr uni pr uni P uni 9 0 $.6 pr 6