juestion 1 [10 marks) Classify the following difference equations according to order, linearity, homogeneity and the type of cofficients. 1. Xr+2-4x+1+16x, =4-(2) +26 A) linear E) homogeneous F) non-linear I) first order 2. 1 (k+1)+(k+1}! A) linear E) homogeneous 1) first order estion 4 [12 marks] B) non-homogeneous C) variable cofficients G) constant coefficients K) parameter B C 1) dependent variable ZUERS THE MONITORS ATUA E fiinvest R100 000 for 60 months how much Interest will I eam?" ENEOPOS B) non-homogeneous F) non-linear J) dependent variable K) parameter onsider an advertisement clip that you see from a magazine and that is shown in the gure below. The advertisement is that of a fixed deposit product/service provided by Bank ABC. Unfortunately your cup of coffee spills on the magazine, erasing some of the importand information from the add. You dry page of the advertisement and later put question marks and roman figures where information was erased by the coffee. FIXED DEPOSIT - EXPLAINED withdraw Interest monthly. It withdraw interest annually. I Angst from A R500! withdraw ww interest at expiry 1 C) variable cofficients G) constant coefficients INTEREST PAYOUT FREQUENCY pr Insteamed Total pay THESE ARE MY OPTIONS SERVER A THEREST MONTHLY B WEITEREST ANNUALLY C INTEREST AT EXPIRY TERM (2) D) third order H) second order L) zero order (2) A MONTHLY B ANNUALLY 0.00% lv. L D) third order H) second order. L) zero order WED 890% Tum rate of 9,16% Team B ANNUALLY C EXPIRY 9.16% 11% V. Mei ii. So Mag aorgk ios 8" exped 11% Team (2) ahe 60 months If the principal is R100000; answer the following questions. 1. You are certain that the interest on the investment a person makes would be gained each month. What type of interest according to the advertisement will be gained throughout the investment period? (1) 2. Hence write the difference equation that governs the problem when r(in%) is the monthly interest rate (Do not show workings, simply write the ordinary difference equation) (1) 3. Solve the correct difference equation in question 2 subject to the correct initial condition. Show all workings (7) juestion 1 [10 marks) Classify the following difference equations according to order, linearity, homogeneity and the type of cofficients. 1. Xr+2-4x+1+16x, =4-(2) +26 A) linear E) homogeneous F) non-linear I) first order 2. 1 (k+1)+(k+1}! A) linear E) homogeneous 1) first order estion 4 [12 marks] B) non-homogeneous C) variable cofficients G) constant coefficients K) parameter B C 1) dependent variable ZUERS THE MONITORS ATUA E fiinvest R100 000 for 60 months how much Interest will I eam?" ENEOPOS B) non-homogeneous F) non-linear J) dependent variable K) parameter onsider an advertisement clip that you see from a magazine and that is shown in the gure below. The advertisement is that of a fixed deposit product/service provided by Bank ABC. Unfortunately your cup of coffee spills on the magazine, erasing some of the importand information from the add. You dry page of the advertisement and later put question marks and roman figures where information was erased by the coffee. FIXED DEPOSIT - EXPLAINED withdraw Interest monthly. It withdraw interest annually. I Angst from A R500! withdraw ww interest at expiry 1 C) variable cofficients G) constant coefficients INTEREST PAYOUT FREQUENCY pr Insteamed Total pay THESE ARE MY OPTIONS SERVER A THEREST MONTHLY B WEITEREST ANNUALLY C INTEREST AT EXPIRY TERM (2) D) third order H) second order L) zero order (2) A MONTHLY B ANNUALLY 0.00% lv. L D) third order H) second order. L) zero order WED 890% Tum rate of 9,16% Team B ANNUALLY C EXPIRY 9.16% 11% V. Mei ii. So Mag aorgk ios 8" exped 11% Team (2) ahe 60 months If the principal is R100000; answer the following questions. 1. You are certain that the interest on the investment a person makes would be gained each month. What type of interest according to the advertisement will be gained throughout the investment period? (1) 2. Hence write the difference equation that governs the problem when r(in%) is the monthly interest rate (Do not show workings, simply write the ordinary difference equation) (1) 3. Solve the correct difference equation in question 2 subject to the correct initial condition. Show all workings (7)