Question

Lab 2 - Differentials and your Mortgage The monthly payment P on a mortgage loan of A dollars at an APR of r (as a decimal) for t years is given by this formula Р(А, r,t) 3D А -1 2 1-|1+ 12 ӘР ОР дР Determine and state the partial derivatives JA'ar'at uSing a CAS (Computer Algebra 1. System.) Include screen shots of each of these in your report! (15 pts) 2 Find P(250000, 0.035, 15). (10 pts) Use differentials to determine the change in the payment amount (found in #2) if the loan amount increases by 10%, the APR increases by 10% to 3.85%, or the number of years increases by 10%. Do each change separately. (30 pts) 3 4. Use differentials to determine the change in the payment amount (found in #2) if the loan amount increases by one dollar, the APR increase by 1% to 4.5%, or the number of years increases by 1 year. Do each change separately. (30 pts) 5 Find the exact change in loan amount for each of the three cases in #3. (15 pts) (Hint: In problems #3 and #4 you are calculating dP. In #5 you are calculating AP.)

Answer 1

20 Sunset 5-46 p.m. Om Namo Venkatesaya o0/FRIDAY unrise 6-35 a.m. 12 4 . 1-/1+r1 PLA 12 Deivahie with respeut to A r A t-ht rt A. 12/1-11+r7U 2 250000, 0.035, 15) 0 035 250000 12 0 0S000 250000 0 0029 16 66 -180 th 429.16667 +001416)-180 December 1-0005b56 S MTWT 1 2 3 4 5 89 10 11 12 15 16 17 18 19 22 23 24 25 26 29 30 31 O o Adhara nilayo dhata pushpa-hasah praja-garah Urdhvaga satna-thachorok

rise 6-36 a.m. d cd / 0 o u paymut auounh 2ny eaJik/SUNDAY by lo/ unrise 6-36 a.m. o o.No.11-33 O 1 2 3 4 Reult (T dAz 25000 ap dA A 25DO0DA P(A df r.3.9-59 e 11-45 22 10 X 0000 S000 T W T F S Sunset 5-47 p.m. 733.31495 Ko.10-20 Om Namo Venkatesaya /SATURDAY .No.7-54 21 22 23 24 25 TL 1-1+0-03nt 433.31495 2014 12 0.9943431 ry 73.33149 alreedy calulakl 7 8 9 10 11 o 03r Renult T2- To VP90asn 14 15 16 17 18 29,16b69 28 29 30 31 o Sunset 5-47 p.m. 3.11-24 e 1-08 Pramanam prana nilayah prana-bhrut prana jeevanah Tattvam tattva videkatma janma mrutyu jaratigah103"

60/MONDAY Om Namo Venkatesaya Sunset 5-47 nrise 6-36 a.m. apa Al1- 2.. XO.003 94.49 135 dp 4.2m December 201 SMTW T F 1 2 34 8 9 10 11 12 13 15 16 17 18 19 20 5 6 Bhoorbhu

11-27 wodsc/TUESDAY Om Namo Venkatesaya Sunrise 6-36 a.m. Sunset 5-48 p.m. 4) JA dp2 1-1 dA 140-06-180. 2 0.03 I0.03-130 Fom Renlt ( 0-03r 250000 D000 733.3149 2300000 0.001933298. ar .,0.00035 AlI+ 950000 1 t 12x 269 1 529 x 000035 94491 apa t A(1+ anuary 2014 M TW T FS o1 2 3 4 1+YIu Ty (-1 2 8 7 8 9 10 11 13 14 15 16 17 18 20 21 22 23 24 25 27 28 29 30 31 O - 39, 36132 Yagna-bhrut yagnakru t yagee yagnabhuk yagna-sadhanan Yajna-ntakrut yagna guhyam anna mannada eva-cha |105 RDAY &Dec O1/