Let the function f(t) be define as shown in the first photo, Draw the following graphs...

Question

Question

f(t) = ((t - 1)2 + 1, 0 <t< 2 t, 2 <t <3 -(t – 4)2 + 4, t> 3

Dibuje las gráficas de las siguientes formas de f(t): (a) f(t) – f(t) U(t –1) (b) f(t – 2)U(t – 2) (c) f(t)U(t – 2) (d) f(t)

Let the function f(t) be define as shown in the first photo, Draw the following graphs for f(t)

Answer 1

Answer #1

(a)

م۔ ost-2<2 tes multiplying S S (a) u(t-1) = t< t>,1 with fit) gives consider intervals fit) U(t-1) = ostri while multiplying

(b), (c)

t<2 (b) ult-2) = { t>2 t-2 f(t-2) = t-34 25t<4 -(t-6) 74 replace t by t-2 inf(t). 4 < t <5 t>5. y even in internals. multipl

(d), (e)

(d) f(t) - fit)u(t-2) (t-1)71 o(t <2 2. <t <3 ot72. I same as t> 3. -> 2 using result in (a). 2 3 (e) f() U(t-1) f(t)u(t-3).

(f) this one looks complicated but after subtracting functions, it's very easy.

So, flt-2) 4 (7-2) – f(t-2)2(t-4). 2 <t<4. (O. flt-2) Ult-?) f(t-2) uct-u). 11 (t-3)+1 215 t<4 4 st<5 (-(t-6) 74. t-2 << < 5

Buena suerte!

Answer 2

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