Question

that I calla and b to do test problems. For example, If your student ID is 900123456, use 3-5 and b-6 1. Use last digit of your student ID I 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:" csercotx dx cscx-a Page Q +

Answer 1

F1001 = 22-2x+4- x?-2x+4 2-0 2. intercept when fal) = 0 +0° -2x+420 =166-242=0 (2,0) x intercept <=2,0 frall yo y intercept f'(x1 23-2)** - 62-22-24) a 2-0 there 닌 no X2 #10) 2-4 22 =) = + 2 7'(X) 7") 8 x3 + at x = -2 and f(2) --6 ma Kuma at x=2 menuna Ix-o "(x) = -/<o (-3-6) ý local #'(/ 70 and +2)= 2 5) (2,2) local at x=0 fali y vestido No Honzonted Asymptole Asyltete fall = (2-2) + | | |-1 ý obleque Asymptoto f"(x)>0 a free) § concome up (-oo) {"(x) co Hius j concolue down information we plot on 0,00) on with thy er skeeth fla).

30- -20- -10- -10 10 20 -10- -20

Subsitute csc cotx dx. Cser-7 تعليله U= escld) -7 - cotxescu dx dx = -l du cotal cscla) - fu di du -lniul Undo subsitution U= cscid-7 pose cScx cotx dx = CSC2-7 [ln | escx) - 7/] 2-1 - en / csc (T) –7) + ln , csc (0)-7) Saln17 + ln resm-7 = -ln17l + ln7 da esca corse csca-7
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