-10.7 POINTS Let f(x) = cos X - sin x for OS X S 27/3. Find the area A of the region between the graph of f and the x-axis on the given interval. (Hint: Where is f(x) > 0 and where is f(x) < 0?) 12. -70.7 POINTS Let F(x) = [5 (1 + 4314 de . Then F'(x) =
Find the Laplace transform of f(t)=∫ 0 t τsin(2τ) dτ
F(s)=
Find the Laplace transform of f(t) = Tsin(27) dt F() =
1.)
2.)
Find f(t) for the function F(s) = 52 - 8s + 4 (s + 1)(8 + 2)2 Multiple Choice O =-24e-t+ + (-12)e-2t+6 +(-24)te-27 O 19 = (13e-++(-12)e-2t +(-24)te-210 O p0 = (13e-+ +(-24)e-2t+ (-12)te-24) (0) O 10 = 8e-t +(-12)e-2t *+ (-24)te-27 Identify f(t) for the function F (s) = 32 + 1 (s+3)(s2+4s+5) Multiple Choice 5e-3t_4e-2 tsin(t) О (5e-3t_4e-2tcos(f)( (5e-3t+4e-2tcos() 4e-36-5e-2tcos()
Given f(x) = 2 log(x) – 2, find f-1(-8). b) 27 c) 27 d) -3 e) 3 f) None of the above.
1. Find f(x) f(x) = 27 {rewrite first-leave answer as a radical) 3 +1 2. Find f'() 2. Find f'(x) f(x) = x {rewrite first; 3. Find f(x) f(x) = 21n(1+3x2) + 3e(4433) 4. Find f'(x) for f(x) = x2\n(x3+1) {Note: uses product rule f'g+g'f} dir dx 2x+1 f'g-g'ſ 5. Find {Note: uses quotient rule }
Find f(s) if f(t) is given as
Find F(s) if f(t) is given as 0 xki) 2 or lo 3x ku Half-wave rectification
Find F(s). L{te oty F(S) =
Question 8 Your answer is CORRECT. Find f' (27) given f(x) = x cos(4x). a) .1 b) -1 c) d) 0 811
Find F(s). ${+14e-93 F(s) 1 X
Question 15 Find all point(s) on the graph f () = Væ% +5x + 10 that is(are) the closest to the point (5,0). = (5 V) and (1,4) 620 3'V 27 - (-1, 2 none DA