Question

Dear student, please show all your work for credit. You need to use last 2 digits of your student that I call and b to do test problems. For example, if your student ID is 900123456, use 3-5 an 1. Use last digit of your student ID called it b) to do the following problem. Sketch the graph of f(x) Find intercepts, asymptotes, extrema 2. Use a digit before the last one of your student ID (I called it a) to do the following problem. Find definite integral: Sescxcotx dx csex-a

Answer 1

Let a=6. fla) = x2 - 2x + 4 76-6. y = 4/6 4 do ) Sono To find y untercept (Put x=o) y- intercepta is co- find intercept y = => x-2x+43 2-16 .To X- no 2 + V 2 > 2 there donot so xg- any exist intercept.

than To find horizontal horizontal asymptotes Since gree of nomerator in zero degree of denominator, doesnot enist any find vertical asymptotes greater horizontal asymptotes. There To X-6 = 0 If ( Now, finally to find antrema. → (1-6)(24-2).-(4-22+4) (x-62 2x?-124-2f2+12 - vet2f2-4 (a-62 r_122+8=0 an » - az 12 144-6 Y 12 & 4 vs 2 2 = 6 + 2s,

N. anz (2-6}(22-13) - (2-12 278) 264-6) Putting = 64 285 24 (2634 du? 2014V5-(0) (400) >0. x = 6+ ais ui extreuna minimum. na 6-215 elly, putting a2f - 2oxurs M di? 400 so x = 60-zits in manimum.

I lake a=00 1=51 cota Coseen dn coseen 0 8 = t Put coseen theni coseen cofn da Ia coseen سے cofa din 8 so Integral wi. not defined