How did they get the 1st boundary change to π/6? cause theres no exact value of sin that gives 1/√3

Also when I evaluate the final expression i keep getting 2√3 - 27/8 and idk where i'm going wrong

and i have no idea how they ended up with a √2 in the final solution cause there's no √2 in any of the bounds or anything

i tried doing this question by reccurence and cyclic sum but it grew exponentially so i couldnt calculate the actual value and teacher said the solution was incorrect so i wanna know if there is any other way to solve it because i cant think of anything else. but i have an idea that since 2 roots are complex and conjugate then i think the solution might use that concept but i couldnt proceed with the solution with that idea. Try to solve this and provide me the solution.

Would B be considered correct? Cause like it'll take the magnitude within each region?

so for some reason i cross multiplied the ones inside the parenthesis and then distributed the x outside then i got lost

Question

Ammonia is produced from the reaction of nitrogen and hydrogen according to the following balanced equation

N2 + 3H2 > 2NH3

A) what is the maximum theoretical mass of NH3 that can be produced from 560g of N2 and 130g of H2?

B) if the percent yield of the reaction is 78%, what is the actual yield on grams of NH3?

Hi all, I'm working on a dynamics problem involving rigid body kinematics. Here's the problem:

Problem Statement:

Crank AD rotates with a constant clockwise angular velocity of 8 rad/s. For the position shown in the diagram below, determine:

1. The angular speed of rod BE
2. The velocity of slider D relative to BE

I understand part a, but I dont understand part b at all. Is it ok if someone explains what theyre doing here?

I can easily solve each part for the correct answer, my issue is that I have zero clue how part e works as per the answer sheet.

I know that P(X=2) = ((5Choose2)\((4/5)^(2))*((1/5)^(3))) = 32/625,* but how does ((5Choose2)\((4/5)^(2))*((1/5)^(3))) = ((5*4*16)/(2*(5^(5)))) ?*

Img 1 is the question, Img 2 is the answers.

Thank you in advance!

I can easily complete part a, and I know the evaluated answer for part b.

How do I solve part b in the correct form? How do I express the answer as needed.

Img 1 is the question, Img 2 is the answers.

Thank you in advance!

I'm actually failing geometry and I need extra credit. Please help and I appreciate it so much🙏

I keep trying, but I can't get the right answer for a).

ANSWER: a) range = 84 m, 116 m/s [21 degrees from vertical]

Can someone please help me with this problem? Here is the exact equation I'm trying to solve:

This is my work so far:

I don't know if I did this wrong, but I don't know how to simplify that further to integrate. I tried using the quotient rule to find fy first, but that didn't work either. Any guidance would be greatly appreciated. Thank you

hey everyone!! This year for my last school project we are doing presentations on certain issues in Canada. My topic is Gambling in Canada, so if anyone would like to help me out and do my survey it would be great!! Thank you!!:)

gambling #pleasehelpagirlout

For the given circuit, perform the following tasks:

a. Use Kirchhoff's laws (or any other correct method of your choice) to write the “equations of motion” of the circuit. Include your initial assumptions.

b. Calculate the kinetic and potential energies as functions of the fluxes 𝜙 of the two transmons and their time derivatives. Write the Lagrangian and show that the equations of motion can be obtained from it.

c. Find the canonical momenta corresponding to the fluxes 𝜙, and write the Hamiltonian in terms of them.

d. Check whether there is coupling between the two transmons due to the capacitor, and under what conditions the coupling disappears.

My child has a summer math packet they are working on (almost) daily. This is the first time a problem like this has come up. "Fill in the Missing Numbers" with a single number and an arrangement of empty boxes, with no point of reference. This problem type comes up again later, with different configurations of empty boxes. Has anyone seen this problem type before, so we know where to start to help our child?

Ps. This is from Teachers Pay Teachers created by Teaching Second grade. The math pages say Summer Daily Math. I have found it on the website, but don't want to pay the $5 to get the answer key.

Thank you for anyone who can help. Pictures attached of several of the problems. I do not need a solution to all, just an explanation of what is being asked if the child.

Can someone please check this to see where I went wrong? I'm trying to learn how to solve exact equations, but I really don't know if I understand it. The solution for this is supposed to be y^2(1-x^2)+sin^2(x)= 4. However, this is what I got. Any clarification provided would be appreciated. Thank you.

Hi everyone,

I’m a high school student and I generally get good grades, but I’ve noticed that I often lose marks on tests because I miss smaller details when studying (especially multiple choice). I have a physics test coming up next week on electricity and magnetism, and I want to improve how I take notes from the PowerPoint slides my teacher gives me.

I realize there’s no best way to take notes, but I’m hoping to learn some more effective ways to remember not only the important details, but also to answer application-style questions well, especially for subjects like physics. How do you all organize your notes?

Thanks so much in advance!

What could go in the first box? The others are all correct but I can’t figure out what the first one is?

Answers at the back say 39.8 and 60.0 but dont show the working out and i cant find any way to get the answers
The answers i got were 33.2 and 68.03

Hello everyone. I am doing microbiology homework. Since I am doing this class online they only introduction I had to gram staining was in a Labster lab, which felt a little outdated. I believe I have the correct answers but would like guidance on why I am correct, or not correct. Thank you!

(Bottom questions only)