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1. ### Trying to intuit the unit impulse response

Hi jambaugh, Thank you for your response. I never though about intuiting convolution this way, so this helps me visualize the impulse response. I do have a more general question though--mathematically, what kind of a system could from an input of an impulse function, which is essentially an...
2. ### Trying to intuit the unit impulse response

Homework Statement Hi there, I've been trying to gain some intuition on how the convolution sum works, but as I dig deeper I am realizing that there is an issue with my intuition of signals and systems, in particular the unit impulse response. My issue is trying to understand how a unit...
3. ### Conceptual: Are all MacLaurin Series = to their Power Series?

Hi, Thanks for the response this clears thing up a bit. When you said: I'm a little confused, so it would be correct for me to say that this means for ln(x+2) depending on where I choose to centre the Series, say I want a Taylor Series for ln(x+2) centred at x=5, then the terms of the Taylor...
4. ### Conceptual: Are all MacLaurin Series = to their Power Series?

Homework Statement To rephrase the question, given a power series representation for a function, like ex , and its MacLaurin Series, when I expand the two there's no difference between the two, but my question is: Is this true for all functions? Or does the Radius of Convergence have to do with...
5. ### Isolate for Angle With Variables

Hi, just attempted with quadratic formula, but I can't get anywhere (as in I can't simplify it any further it looks so hideous).
6. ### Isolate for Angle With Variables

Alright. This is what I have tried... I don't know if it's entirely correct but it still seems really clustered. I don't know what to do next though...
7. ### Isolate for Angle With Variables

Yes, that is what I am trying to do.
8. ### Isolate for Angle With Variables

Homework Statement Isolate for the angle. Do not sub in numbers, isolate the angle, θ . Use of trig identities required. Homework Equations m_{2}g=m_{1}gsinθ-μm_{1}gcosθ We are given the trigonometric identities: The Attempt at a Solution I have attempted everything from squaring both...
9. ### A Dynamics Problem Regarding Friction.

Oh... I see now... relative to the bottom block.
10. ### A Dynamics Problem Regarding Friction.

So does that mean I need to find the acceleration relative to the bottom block?
11. ### A Dynamics Problem Regarding Friction.

Homework Statement That was the given information. Here are the questions they ask, I have solved a) and b), but I am completely stuck on c). I'll just put them here in case information from them are necessary. a) What is the coefficient of static friction between the 5.0 kg mass and the...
12. ### Difficult rational expressions thinking question

Ah, I plugged in the values of B and C and the expressions on both sides were equal. And that quote clarified quite a lot. Thank you so much to all of you for the help!
13. ### Difficult rational expressions thinking question

Hi! Thank you both for responding. I'm with you guys so far until here: 3x−18=(2B+7C)x+(B−3C){} I don't quite understand why 3x must only equal (2B+7C)x. After I try and solve this is what I get. Is everything I did okay because I don't know and method of verifying if this is right...
14. ### Difficult rational expressions thinking question

But don't I have 3 variables still?
15. ### Difficult rational expressions thinking question

Hi, Thank You so much for your response. I was just wondering if you could clarify what you meant by this: I apologize my math vocab is weak.
16. ### Difficult rational expressions thinking question

Homework Statement Find the Values of B and C given this: \frac{(3x-18)}{(2x+1)(7x-3)}= \frac{B}{2x+1} + \frac{C}{7x-3} Homework Equations The equation given: \frac{(3x-18)}{(2x+1)(7x-3)}= \frac{B}{2x+1} + \frac{C}{7x-3} The Attempt at a Solution My attempt...