Anyone knows how to find this limit ? I tried the squeeze method but it doesn't work

Does anyone know if this would be correct? I’m not sure but I think it looks okay! I am struggling a bit in this class. 🥀

Also would like to mention that I just pulled an all nighter, it’s currently 6AM. And my day begins with my first class in an hour. So, my eyes are far from fresh.

I’ve been looking over my work and I can’t seem to find the issue, though I admit my ability to wrap my mind around vectors is not the best. What I did here is found a normal vector to the plane by taking the cross product of the vector in the direction of the line and a vector between the point given and a point on the line. From there, I applied the formula for an equation of a plane. Ideas?

This assignment is for my college biology class but I’m still going to categorize it as math.

I don’t have much, if any experience working with significant figures. I may have learned about it during one of my intro to biology classes in high school, but I’m not sure.

Originally, I thought the length of the tibia bone would have been 34.4, but every answer I have submitted ranging from 33-35 has been incorrect. There is hardly any information regarding significant figures in the instruction and information section of the assignment.

Any help would be appreciated.

Solved: Answer was 34.41

Prompt: "Use propositional logic to prove the arguments valid; you may use any of the equivalence or inference rules."

I have this sequence but I'm not confident in #4-7

1. A v B (hyp)
2. A → C (hyp)
3. B → C (hyp)
4. (A v B)’’ (1, Double negation)
5. (A’ ^ B’)’ (4, de morgan)
6. (A’)’ (5, simplification)
7. C (2, 6 modus ponens)

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*UPDATE*

I currently have this sequence. I was struggling, then I realised the implication rule has an error (It says 'P -> Q is equivalent to P' v Q) so I wanted to get others input on if my work is correct.

1. A v B [hyp]
2. A → C [hyp]
3. B → C [hyp]
4. A’ v C [2, implication]
5. B’ v C [3, implication]
6. (A’ v C) ^ (B’ v C) [4, 5 conjunction]
7. (C v A’) ^ (C v B’) [6, commutative]
8. C v (A’ ^ B’) [7, distributive]
9. (A’ ^ B’) v C [8, commutative]
10. (A v B)’’ [1, double negation]
11. (A’ ^ B’)’ [10, de morgan]
12. C [9, 11 disjunctive syllogism]

My additional explanation for getting #12. disjunctive syllogism

P v Q, P’ < = > Q

(A’ ^ B’) v C, (A’ ^ B’)’ < = > C

The directions say I don’t have to simplify my fractions, but it won’t be counted against me if I do. The third pic is the data table the question is based on.

I’m doing review for my exam today and have no clue how we went from:

sin squared theta plus 5 sin theta minus three

To

(2sin(x)-1)(sin(x)+3)

How did we do this??

I know she showed us this method using a giant x and something adds to something and something multiplied to something but I never learned that and I never grasped what to do.

Also if my solution is completely wrong then tell me.

I feel like I’m right but I also feel like it’s a trick. My teacher tends to give us questions to do ourselves at home and then we go over it in the next class. Please tell me if I’m right or if I am missing something? It is the system of equations using either the addition or substitution method. I think I am pretty OK at math I tend to look over text book examples over and over until I get how they got the answer. I feel like I am right but idk please lmk?

Can someone please look this over to see if I did this correctly? I started to get sort of confused with the order of the quantifiers as I was writing this proof. Any help would be appreciated. Thanks

Can someone please look over this proof to see if I wrote it correctly? I'm not entirely sure I understood the provided lecture notes. Thank you so much.

0 idea what I'm doing wrong. Only other guess I have is (mg/k)-(mg/k-v0)e^(-k/mt) (v0 doesn't replace C but is actual initial velocity in this scenario) for the 6th one. I have one 'attempt' left so I don't want to mess this up.

Can someone please help look over my proof of this theorem? I tried to get CoPilot to check, and it said my reasoning is incorrect, but I'm not quite following why. Any clarification would be appreciated. Thanks

Could someone please look over this proof of L'Hospital's Rule to see if I did it right? I tried to follow the proof in Rudin's textbook, but I wasn't really sure I followed his logic correctly. Any help would be appreciated. Thanks

the solution I can come up with is (5-1)! - (4-1)! but i’m not sure if it’s correct. i think it makes sense cuz it’s the total ways to arrange 5 people in a circle minus the total ways to arrange 5 people in a circle if the 2 women MUST be together but i don’t think i understand permutations enough to be sure that it’s correct

I've been trying to figure out how to start this problem for like a hour, but I suck at word problems and can't for the life of me figure out how to solve it... we didn't go over this in class so I'm really lost rn... the answer is in the back of the textbook but I don't know how to even start to get to the answer (apparently it is T(t) = 20 + 38.5e^(-0.125t))

Any help would be appreciated for both questions. I'm very confused on how to find the hypotenuse when both of the values are squares?

When I tried to solve I got that it will converge when p is greater than 1... but I'm not very confident in my work and therefore not very confident in my answer, and I'm having trouble figuring out whether or not my work/answer is correct (we only went over a similar problem for about 2 minutes before getting distracted and moving to a different topic...)

i tried looking for a formula in the book and online but all of the things i found included area of the sector which i've yet to find

Hello redditors, I found this on my prep textbook but I do not know how to solve it and I keep running into errors. Might like some help from yall thx

I have been sitting staring at my notes from class trying to figure this out and I cannot for the life of me get it. This is my first math class in three years and I’ve lost all my knowledge.

For F3 I used 60 + 45 then subtracted the total from 90 which got me 15°

F2 it's 45° as is and for F1 I did nothing but multiply it by cos (0)

Did I get the angles right?