1.) King invests $11000 in an account that pays 3.5% interest compounded continuously.

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1 DAY 1 Chpter 4 Exponentil nd Logrithmic Functions 4.3 Grphs of Logrithmic Functions Converting between exponentil nd logrithmic functions Common nd nturl logs The number e Chnging bses 4.4 Properties of Logrithms Converting from multiple logrithms to one nd vice-vers Simplifying logrithmic expressions 4.5 Solving exponentil nd logrithmic equtions 4.6 Exponentil growth Exponentil decy Continuously compounded interest Doubling time Hlf-life Exponentil Review 1.) King invests $11000 in n ccount tht pys 3.5% interest compounded continuously..) How much money will he hve in the ccount in 10 yers? b.) How long will it tke his money to double? c.) When will he hve $30000 in the ccount?

2 2.) Bismuth hs hlf-life of 5 dys..) If smple originlly hs mss of 800 mg, write formul for the mss remining fter t dys. b.) How much will be left fter 37 dys? 3.) The drug Wrfrin hs hlf-life of 60 hours fter dministrtion to ptient..) Write formul for the mount of Wrfrin remining in the body t hours fter dministering dose of 10 mg. b.) A ptient is given 10 mg dose of Wrfrin t 9 m Mondy morning. How much Wrfrin will be left in the ptient t 9 m on Tuesdy morning?

3 Log Review 1.) Simplify: log log ) Give the domin: f ( x) log(3 x 4) 3.) Express in terms of the sums or differences of logs: log 4 mn 5 b 7 4.) Answer TRUE or FALSE: M.) log M log N log ( M N) b.) log M log N log N c.) e.) log log log M N log x log M log N d.) M log M 1 x x 3 3log x f.) log 8x log x log 8 g.) log N ( MN) x xlog N M x log 5.) Solve: x5 2x Solve: ln e 8

4 Solving Equtions With Logs Review 1.) ln(log x) 0 2log x 4 log ) 3 3 log x log x 3 3.) ) Given tht log8 225 nd b log 215, express s function of b.

5 Chpter 8 Liner Progrmming/Prtil Frctions DAY Grphing liner inequlities Grphing systems of liner inequlities Liner Progrmming Fesible region Objective function Constrints Optiml solution 8.8 Decomposing rtionl expressions into prtil frctions Dividing when degree of numertor > degree of denomintor Prtil Frction Decomposition Review 1.) Decompose into prtil frctions: 4x x x6

6 2.) Decompose into prtil frctions: 3 2 6x 5x 7 2 3x 2x1

7 Liner Progrmming Review Mrs. Jones is bking ckes nd pies for her church bke sle. Her Louisin Crunch Cke recipe uses 2 eggs nd 4 cups of milk. Her Sweet Potto Pie recipe uses 3 eggs nd 2 cups of milk. Mrs. Jones only hs 24 eggs nd 32 cups (2 gllons) of milk on hnd. Her church group hs sked her to mke t lest 3 ckes nd t lest 2 pies for the sle. Ckes will sell for $5 nd pies for $6. How mny of ech bked good should she mke in order to rise s much money s possible for her church?

8 Dovetil Crpentry Shop mkes bookcses nd desks. Ech bookcse requires 5 hours of woodworking nd 4 hours of finishing. Ech desk requires 10 hours of woodworking nd 3 hours of finishing. Ech month the shop hs 600 hours of lbor vilble for woodworking nd 240 hours for finishing. The profit on ech bookcse is $40 nd on ech desk is $75. How mny of ech product should be mde ech month in order to mximize profit?

9 Chpter 9 Conic Sections DAY Definition of prbol (focus, directrix) Stndrd eqution of prbol Finding stndrd form of prbol eqution by completing the squre 9.2 Definition of circle Completing squre to obtin stndrd eqution of circle Definition of ellipse Finding stndrd form of ellipse by completing squre Determining center, foci nd intercepts of ellipse 9.3 Definition of hyperbol Completing squre to find stndrd eqution of hyperbol Determining center, foci, equtions of symptotes of hyperbols Determining type of conic by eqution 9.4 Solving Non-liner systems using grphing Solving Non-liner systems using lgebric methods Conics Review 1.) Find n eqution of prbol stisfying the given conditions: Focus (3, 2) Directrix: x = -5 2.) Find n eqution of the prbol with verticl xis of symmetry nd vertex (-1, 2) nd contining the point (-3, 1) b 6 2.) Solve for (,b): 2 2 b 13

10 3.) Sketch nd find the importnt fetures of the following conics:.) 2 2 9x 4y 54x 8y 49 0 b.) x4 y

11 Chpter 10 Sequences & Series 10.1 Finding generl terms of sequences Prtil Sums nd Series Sigm Nottion Recursive definitions of sequences 10.2 Arithmetic Sequences Generl nd Recursive Definition Sum of first n terms of rithmetic sequence 10.3 Geometric Sequences Generl nd Recursive Definition Sum of first n terms of finite geometric sequence Sum of infinite geometric series when it exists Sequences/Series Review 1.) The fourth term of n rithmetic sequence is 17, nd the twelfth term is 49. Find the sum of the first twenty terms of this sequence. 2.) In geometric sequence, if 3 50 nd , find S 8. 3.) Give the first term of the 9-term geometric series tht hs common rtio of 5 nd sum of

12 4) Find the sum: ) Find the following:.) 37 ( k) b.) k 2 k1 1 2 k1 c.) 50 k1 200(1.08) k

13 Chpter 8 Systems of Equtions/Mtrices DAY Solving systems of 2 liner equtions by grphing Solving systems of 2 liner equtions by substitution nd liner combintion Dependent systems Consistent nd inconsistent systems Word problems involving systems 8.2 Solving systems of liner equtions in three vribles Given 3 points find qudrtic function 8.3 Gussin Elimintion (row reduction) of mtrices Representing systems with ugmented mtrices Reduced row-echelon form 8.4 Addition nd Subtrction of mtrices (when possible) Multipliction of mtrices (when possible) Sclr products 8.5 Identity mtrices Inverse mtrices Finding inverses using reduced row echelon form Solving systems using inverse mtrices 8.6 Finding the determinnt of 2 by 2 mtrix Evluting determinnts using cofctors nd minors Finding the determinnt of ny squre mtrix Systems nd Mtrices Review 1.) Solve: z 12 log 2 4y w z 8log y 15 w z 4log y 37 w

14 2.) Find the product, if possible:.) g b.) g 3 c.) g ) Solve: y log 16 8g2 60 x y log 8 2g2 19 x 4.) Find the inverse: 4 3 A 1 2 B

15 5.) Solve: x x ) Find C : C

16 Chpter 5 The Trigonometric Functions trig rtios (sin, cos, tn, sec, csc, cot) Cofunction identities (complementry ngles) 5.2 Solving right tringles Solving pplied problems involving right tringles nd trigonometric functions Chpter 7 Applictions of Trigonometry 7.1 Lw of sines Solving oblique (non-right) tringles (AAS, ASA, SSA, SAA, SSS) Are of tringle using sines 7.2 Lw of cosines Solving SAS nd SSS tringles Determining whether to use lw of sines of lw of cosines to solve tringles 1.) Suppose V ABC is right tringle with right ngle A. AB 7 nd BC 25. Find the following: sin C cscc cosc secc tn C cot C 2.) In V ABC, AB 48, BC 32, nd mb ) Find the re of ABC. b.) Find AC. 3.) In V XYZ, YZ 23.5, XZ 9.8, nd mx Find m Y.

17 Chpter 10 Combintorics 10.5 Fundmentl Counting Principle Fctorils Permuttions npr nd fctoril nottion Permuttions with non-distinguishble objects 10.6 Combintions ncr nd fctoril nottion Binomil Coefficient nottion Distinguishing between permuttions nd combintions 10.7 Binomil Expnsions using Pscl s Tringle Binomil Expnsions using fctoril nottion Finding specific term in binomil expnsion 10.8 Experimentl vs. Theoreticl Probbilities Using complementry events to find probbilities Binomil Probbilities Conditionl Probbility Probbility Review 1.) How mny distinguishble permuttions cn be formed from word MATHEMATICS? 2.).) How mny wys cn you choose 5 students out of group of 8? b.) How mny wys cn you choose 5 students to plce in 1 st, 2 nd, 3 rd, 4 th, nd 5 th plce out of group of 8? 3.) Find the 10 th term of the stndrd expnsion of 2 3x 2 3x ) The sles force of business consists of 10 men nd 10 women. A production unit of 4 people is set up t rndom. Wht is the probbility tht 2 women nd 2 men re chosen?