Question

Part A Evaluate the integral: I= j (+5 + 5) (8 (t) + 128 (t – 1)) dt. Express your answer using three significant figures. View Available Hint(s) VO AXO Ut vec 2 ? Submit Part B Evaluate the integral: I = ſ t® [8 (t) + 8(t + 1.8) + 8(t – 3)] dt. Express your answer using three significant figures. View Available Hint(s)

Answer 1

PRIRTA Evalucete the Infegorile I= 5 (4**s)[&)+12t=133 at Here the value of I can be found by using the property of the Impulse Function. a Area He have, (A) dit-todt = alto); t,< to ctz og Else where ti I= } (4+5) [04]+12.dl4-15++ 1 = f**usafscytas ili safiosrust -1 3 52 Area Under T = clt dtt 12 It Ilt-1)dt + 5 J Impulse dit)dt = -1 -1 +-10t . I = 0+12 (138 +511) +60(1) I=0+12+5+60 I = 777 .; The Value of Infegral I =771

PART-B Evaluate the Intesal.:- + [det) ++ +12)+244-3)]at. this problem Also solve by using the property tz (Alt)!(-to) ++ = secto) ; tieto eta 0; Else Where a s to [ 211) +Mit +1.8) 4d(4-3]dt. I = $46.+ * 9 fe ae-shit to=0 to = -18 t=3 I = (0ját (-1.8)°+ ( out of the Ranse 2222 s Ans=0 I = 0 + 34.02 +0 I = 34.012 & The Vake of Intersal I = 34.012]

S NN figure o #C -10 T io → t(s) Use step Functions to Woite the Esepression for the function shown in (figuse (0) 7> Elpress you arewel inferms of Ult) and + in secret The Given function fets is a fringulas Function - Trilt . - Afits 10 t+10 ++io To of 10 1. flt) = ++10 ; -10ct co = -++lo; octelo TETTE Hi f(t) = (+10) 01 +10) + (-t+1044-1007