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I would like to check my understanding here to see if it is correct as I am currently stuck at the moment. From the question, I can gather that: P(Rain | Dec) = 9/30 P(Cloudy | Rain) = 0.6? P(Cloudy | Rain) = 0.4 To answer the question: P(Rain | <Cloudy, Morning, December> ) = P(Rain) *...

Assume the ball is going in the direction as indicated in the picture. From the man's POV, the ball will be directly heading towards him since they are in the same axis , just changing heights. Hence, I would have thought that aspect angle is 180 degrees. As for orientation, do you mean which...

Using this definition: The aspect angle θ is defined as the angle between the major axis of the target (heading direction) and the radar LOS Assuming the man is the radar, then my aspect angle will always be 0? When will aspect angle be 180? When the radar/man is facing the same direction as the...

Hence my original assumption is correct? If the projectile is head on towards the person the aspect angle will be 180?

Thanks for the reply. So from what I have read: 1) So what is the scenario when the aspect angle is 180 degrees? They are both facing the same direction? (Person and motion of projectile) 2) "After the projection, the aspect angle is determined on the horizontal plane." - May I know what does...

Hi all, a bit confused with regards to the whole term aspect angle. Most examples that I searched online involved either a 2D plane or a stationary object. In this case: Let's say the man is facing the ball. In this case, the ball is being thrown from the right to the left. Since the man is...

Say we are working in a 2D plane, with a camera and a ball flying past as shown. Camera at bottom, ball flying from left to right Given that I have the X/Y coordinates of the camera, as well as the coordinates of the ball at any given time during the 'flight', how am I supposed to calculate the...

That would be something like it. Looking up on 3D Projection, hopefully I can understand the exact math behind it.

Hello all! As seen in the summary, I'm not sure if anyone can understand, but I will try to make this as clear as possible. Working in the 3D Plane: Given that there is a trajectory motion in the 3D Plane, and I have the coordinates of the motion at every 1s interval. This means at t=1s, the...

Tried this, but not sure how am I supposed to square the whole equation and then square root it since this will inevitably give me imaginary values. Am I supposed to ignore the imaginary values? Also, how can I find out the phase in this case? Usually, it's taking the exponents but in this case...

I'm not sure, it wasn't stated. Digitial signal processing, and the question came from a worksheet, not a textbook.

Attempting this question without any guidance from my professors unfortunately as they did not teach this bit. Searched online and also there aren't many questions like this. From what I know, (I) Having n-1 means you should shift right by 1, which means x[0] is now equals to 0? So x[n-1] = [0 5...

Oh so I'm reading the table wrongly? 10 +10 is indeed 001?

Hi all, I am having some troubles deriving the truth table of the following: I don't understand how does one gets to the highlight parts. For example, 10 10, when the carry is low, shouldn't the output be 0 0 1? I fully understand how to add if it is a single bit, but now with 2 bits, it is a...

I've attempted this questions after understanding the theory from my lecture notes, but my equation is looking bizarre here. Is this correct so far? Are my mesh equations correct here? Thanks.

So I got this question while coming across, and I would like to seek some advice/tips for these types of questions. 1) Assuming I want to try and build using MUXs, I will get the truth table of both a 2 bit comparator and MUXs. In this case: For comparator: And for MUX: So from what I...

Understood your first portion, thanks a lot :) Regarding GP, what I meant was the formula for geometric series sorry. I was taught that

So if S + r/(r-1)^3 is negative, minus r/(r-1)^3 on both sides, I get S = some negative number - r/(r-1)^3... How is S less than - r/(r-1)^3 ? Also, I was taught that the formula for GP is (1-r^(n+1)) / 1-r, can this still apply?

RHS: (less than 0) + (negative number)(positive-negative) = (less than 0) + (negative number)(positive) = (less than 0) + (negative number) = (negative number)

Oh no, I think I know why. I might have misread the question (thinking that they want the sum of 1 line instead of all the lines :/ Will reread the question now, will reply back if I have any additional queries. Thanks for the correction.

Yes I understand you have listed all the terms out with also +2(...) and +3(...), but I can't seem to see why it is listed as so though. (Can't seem to get the pattern)

Hmm, I don't seem to see the relation at the start. How does one get +1(r+r^2+r^3+...r^n) ?

As in computing them? With r=0.5, it would seem impossible to compute out the equations, but it does converge eventually. Could you kindly advice me how to compute? (I was thinking r>1 all along)

Hmm okay, so how do I start about proving this? I tried dividing the hint given by (1-r) again to make both similar, but I can't seem to get the gist of it

Isn't this proving the summation of r^n + 2r^n + ... is less than r/(1-r^3) ?

I've DMed you the question, and it seems to be exactly what I written down here

It is correct, but how does one prove that it is lesser than r/(1-r^3)

So this seems to be a geometric Series, but with the coefficients in front, how do I exactly go about proving this? Thanks

I was taught that to compute maximum power, I will need to find out the Thevenin resistance and voltage. To find Thevenin resistance, I will need to off any independent sources, and then use any form of circuit analysis to solve for the Thevenin resistance Since it (the voltage source) is set to...

Ah okay. But what I did in my working was also simply setting them to zero, isn't it? Why will the solution be wrong here?

Hi all, Checking my answers here as it doesn't seem to match with the answers given to me. Would appreciate if anyone could point out the mistakes I made. First I will compute Rth. Offing all independent sources, applying a known voltage across R (in this case 1v) and using mesh analysis...

Ah okay, since voltage across the resistor is the sum of capacitor voltage and 20V source voltage, and voltage at t=0+ of capacitor =-20V, -20+20=0V As for di/dt at t=0+, I understand that v=L(di/dt). However in this case, will the voltage across the inductor be 0? (even though there is a 40...

can I assume it goes to the resistor only? Hence voltage of resistor at t=0+ = 80V? However, the answers given to me stated that it is 0V :/

whoops, that was a mistake. so if I'm proceeding with the normal circuit, I would need to apply the usual nodal analysis, right?

Regarding the voltage, what I do know (from theory is that)it will be a open circuit, but I'm still unclear why it is -20V in this case. As for the voltage ofthe resistor, won't i need to calculate what is the current running through it using the analysis I listed above? Or am I missing something?

These are my attempts at doing this question, and I was wondering if I am correct so far. At t= 0-, i(L) will be 0A, since the capacitor acts as a open circuit. However, I'm not sure why V(c) at t=0- will be -20V as given by the answers. Won't it be 0V? Moving on, since current in inductor and...

Oh so its simply the probability that at most 6 customers walk-in within 10 minutes, there's no need to consider the first 5 minutes that at least some customers has walked in?

It is 1 per minute per day, sorry for not including that in. Hence in 10 minutes it will be 10 for average

Confused and not sure if it is correct, but please do correct my steps. We let event B be that there are at least 3 customers entering in 5 minutes. Hence P(B) = 1- P(X=0)- P(X=1) - P(X=2) = ##1- \dfrac{e^{-5}5^{0}}{0!}-\dfrac{e^{-5}5^{1}}{1!}-\dfrac{e^{-5}5^{2}}{2!} ## = 0.8753... Now we let...

Ah ok I get what you mean, so something like: How do I exactly find the 'total' voltage in this case tho?

I don't seem to get it, isn't the transformation correct for the left side though?

From this, I can transform the current source to: I can then find the equivalent resistance to be (30//20)//40 = 9.23 ohms. However, I am not sure how to find the equivalent voltage in this case? What should I do to start?

Hmm if there is a voltage drop across the current source, what equation can I craft at node 1 then? Pretty confused by this. Ooh EDIT: nvm i got it, just had to craft out 4 equations for 4 nodal points =-=

As quoted by @Bright Liu, my ground node will be at the bottom.

Hi all, Managed to get an answer out, but unfortunately, it doesn't correspond with the answer given ( –3.09 A) Would appreciate if one could check out what I did wrongly here: ## V_{1}=2\times 5=10V ## At node 2: ## \dfrac{V_{1}-V_{2}}{2}=12+\dfrac{V_{2}}{1}+\dfrac{V_{2}-V_{3}}{2}## We can...

Not sure what I can do to proceed on here: Should I be using the Delta to Y transformation? Wouldn't be able to simplify using simple series and parallel circuits, and hence am looking for any clues I might need to solve this problem. PS: ForDelta to Y transformation, it seems that the 10 and 8...

Question: So I got around on doing this example, and I'm pretty sure I messed up somewhere, would appreciate if someone could point out what I did wrongly. 1) For any second ODE, I should let: ##y_{1}= y ## and ##y_{2}= y' ## Hence, ##y_{1}'= y' = y_{2} ## and ##y_{2}'= y'' = xy(x)+x^2-y(x) =...

Using mesh analysis, my simultaneous equations seem to be wrong and I can't figure out why. Any stuff that I should take note of? Attempt:

Thanks for all the replies :) I do actually solved it after redrawing the circuit more clearly :)

Transformed circuit: Using KVL, Now, I am unsure about the current to use KVL in this case. As far as equation goes: Vi(s) =(I1*R)+(I3*R)+Vc(s), where Vc(s) = V0(s)/u as shown in the circuit. How am I supposed to find the current I1 and I3 for the two resistors in this case? Thanks