Question: Question 3 Use any graphing utility (software or online material) to plot the graph of the follow...
Answer
The solution to the first 4 parts has been provided below.
3) We can plot the given function using locokebra > y = 4 sin (2x+) 4 -3.5 -3 -2.5 -2 -1.5 - 1 -0.5 0 0.5 1.5 2 3.5 K a We know that 14 sin x <3 1 Sin x | < 1 And sin (x + 2) = sin » So; Let T be the period of y, sin(2 (2017) + 3) = sin (2x +3 +47 for лё7 ana 2a +at+2 xta 3 3 T= na Or we can say that the time period = [] (11) y = - 3 cos (x+2) -1 cos 31 5 3 2 -3 cos x 2 -3 3 cos (x+1+2) = cos(x+2+3na) 2. jor ne z 1 - T= ana X -8 -6 -4 -2 0 2 4 6 10 12 or time period = 2 -2. -3 y=-2 ton (x+2) tan (act 7 +T)= tan (x17 + ne) for nez or time period ( 다. T=nR 8 - Also, note that tank= sinx Cose 1414 21 - 31/2 -TT -TT/2 0 1/2 п 31/2 21 51 / 2 And cose to as (2x+1) 2 where / nez tan (sct a +10 CtA antiga 4 or x = (2+1) + So, the vertical asymptotes occur at x = Rntia for ne z 4 X - X - ، هی 50 40 2x i-14X<3 30 goxo 3x-2; X>3 20 10 -8 -6 -4 -2 O 2 4 6 -10 -20 (1) g(x)= 3x - 2 on the interval XE [5,12] Nao; Average take of charge : 19 = 9 (1) – 9() Ar 12-5 – 3 (12) -2 -3 (5) + ? 3 Il 구