Question

impulse function

Answer 1

how do you write this as function?

\[X(t)=10+\delta(t)+\delta(t-1)\]

Answer 2

Im not sure. I'll show you the question

Answer 3

i don't think its saying that the 1ft^3 of water still happen from t=0min to t=1 mins, otherwise it would be a step function (not an impulse function). Im not entirely sure

Answer 4

@dan815

Answer 5

because in the end, after the last impulse, you want the inlet to be running at 10ft^3 of water (Since that is its steady state value; the impulses come from disturbances)

Answer 6

an impulse has infinite height right

Answer 7

yes, but i guess we say that an impulse of 2 is greater than an impulse of 1, hypothetically speaking, despite both having infinite height

Answer 8

oh i see what ur indicating is like the area

Answer 9

i think this is fine

Answer 10

so you think my function is reasonable?

Answer 11

i think u shud have 10

Answer 12

since 10 is not really a response

Answer 13

but i dont really know, it seems like its based on convention

Answer 14

i think u shudnt* have 10

Answer 15

hmm

Answer 16

shouldnt it be like this?? the impulse is the derivative of this graph

Answer 17

then ur function would be
X(t) = 10 + integral (unit impulse) + integral 2*unitimpulse

Answer 18

but they're saying sketch "response" of level vs time

Answer 19

that is a function of step functions, we can't assume that the disturbance continues after t=0 to t=1

Answer 20

not level vs time right...