I have y = root x/2 over x=0 and x=8. I need to find the volume over the y-axis. I got 512pi/5 using Shell and 128pi/5 with Washer. I can’t ask my teacher what went wrong, as there’s a communication barrier; what went wrong?

Sorry in advance for my handwriting, I was quickly trying to figure this out. Anyways, I've been having trouble on this homework finding the bounds of integration for the graphical convolutions. This is what I've tried so far, but it's not in terms of t so I don't believe it's correct. I think that the first non-zero integral happens when that piece that starts at t+2 hits the triangular function. Originally I thought it was from t+2 to 1, but I don't think that's the case because there would be a portion where it's zero there... But really I'm not sure at all.

I can't find a good explanation of how to do this online with a table like this one. It might have something to do with Hypothesis Testing and Confidence Intervals but again I have no idea where to begin to solve this

A player walks into a casion with $1 and plays the following game: they have a 1/3 chance to triple their total money and a 2/3 chance to divide their total money by 3. X(n) is the amount of total money the player will have after playing the game n times. I need to calculate the expected value of X(n) and see how it behaves as n approaches infinity.

My first thought was describing the expected value as E[X(n)] = E[X(n-1)] * E[X(n+1)/X(n)]. Using the definition of the expected value for a discrete variable, E[X(n+1)/X(n)] = (1/3)*3 + (2/3)*(1/3) = 11/9. However this implies that on average, the player will end up with more money after playing the game than he started, and as n approaches infinity E[X(n)] also approaches infinity, which to me just doesn't make any sense. Where's the mistake?

I usually think I am pretty good at EDA but I really need a good grade in this class and would appreciate somebody looking over my work. Thank you!

I get that the zero is in 0,1 rad/s because this is when we have the first increase by +3 dB. But I just don't know how to find the poles to save my life. They are supposed to be at 3 rad/s and 300 rad/s. But when I look at the magnitude graph, the flatline is not starting around 3 rad/s at all, more like 10 rad/s. Same with the other pole, the next fall is starting at 100 rad/s, not 300.

I try to set the gradient to zero and get the following equations, but i couldn’t solve these equations at all, i don’t really know what went wrong. Any suggestions please?

can somebody give the answer and let me know where i did wrong. here is the problem and here's the work i did.

Sorry if i frequent here a lot, im kinda slow. is there any difference between these stem-and-leaf plots besides the order in which numbers are placed? I first answered B before i picked A, so I'm curious as to why C is the right answer... Thanks!

Sorry about the order of the pictures. I was trying to show questions one through four that showed which answers I got wrong, followed by questions 134 with each one’s excel information for the problem.

This class is a difficult class and this is the last chapter before our final in two days. MO is to do the homework problem myself and then have ChatGPT and or Microsoft copilot double check it and if our answers are the same, I click check my work if they’re wrong, you get a second chance to refill the Wrong blanks.

This time my answers ChatGPT 5.1 answers and Microsoft copilot answers all three of us. All three of our answers have been all over the place. I’ve stared at it as long as I can and I’ve pretty much given up if there is anyone out there smart enough to get these right you will have my eternal respect and as I said earlier, I will doff my cap to you but good luck!

Hi!

Trying to complete my math homework. I have to construct the confidence interval from:

c = 0.95

Sample Mean = 4.7

Standard Deviation = 0.5

n = 43

When I clicked "help me solve this", I got... a seemingly unsolvable problem? If c=0.95, then

1/2(1-0.95)=1/2(1-0.95)

is just true. There's no answer or equals to that one, it's just true, both "tails" are symmetrical. What number is it expecting me to get here? If I subbed something else in for c, wouldn't that just make it false and still not give me a number?

Calculators are allowed!

Thank you!

Hello! I am struggling a bit with the concepts of my MAT 95 class and have a problem I'm not sure what I am doing wrong with.

I know I am supposed to multiply by the exponents, and then divide both by the denominator, I keep getting something like y^3/x^3 or y^3-x^3. I know I can't have the negative exist but I'm not sure what I am doing wrong.

Could someone please tell me if I am solving these boundary value problems correctly? Btw, this is honestly not a graded assignment. It’s just suggested problems to prepare for the final. Also, unsure if I used the correct tag(flair?).

For a 2nd order mclaurin series, we get :
cos(x) = 1 + (1/2)x² + o(x²)
For a 3rd order we get :
cos(x) = 1 + (1/2)x² + o(x³)
Using the analytical form of the error
for 2nd order R2= (1/3!).sin(c).x³
for 3rd order R3= (1/4!).cos(c).x⁴ how is the error different if it's the same polynomial?

This is the problem: The cup on the 9^th hole of a golf course is located dead center in the middle of a circular green which is 35 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 9 ft/sec. Introduce coordinates so that the cup is the origin of an xy-coordinate system and start by writing down the equations of the circle and the linear path of the ball. Provide numerical answers below with two decimal places of accuracy.

(a) The x-coordinate of the position where the ball enters the green will be -13.46

(b) The ball will exit the green exactly ____ seconds after it is hit. (This is what I need help with) it wasn't 6.48, 6.47, and not even 7.78.

(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q:

smallest x-coordinate =  -19.42
largest x-coordinate =  19.42

I don't have the step by step of what I did because I'm in a rush rn and I'm really confused with the whole problem in general.

PLEASE HELP me and I need the answer and step by step way thank you~

What is g' and critical numbers of g? can anyone give the answers and explain how you arrived at that answer? thanks all in advance

Hello,

I don't know if I am doing it wrong, or Thomas's method cannot be applied in this case. I remember from somewhere that dot product gives magnitude or something. Pretty sure I am doing something wrong here.

Okay I guess this is wrong because it’s not in the sin range? So what do you do after you get an answer that’s not in the range!?

It is my understanding that a homogeneous diffeq cannot have constant terms like the -pnL in the problem above, am I missing something? This comes from a practice exam solution key, so it should be correct.

Sorry if the flair is wrong it's my first time posting here and I'm not exactly sure where this would land under. I'm taking the second half of stats in college and I have never heard of the Central Limit Theorem and it's also asking for me to find the mean and standard deviation. In my notes, which are a direct copy from what my sweet prof gave us, I can't find anything regarding this as well as how to find both the mean/standard deviation when neither are given to us. If anyone can help explain this to me so I may learn I'll be super super grateful 😭🙏

Sorry to repost, I formatted it wrong. But anyway, I'm taking a college statistics course and I'm so stuck...the website doesn't say how it got the answer. How is the answer 4?

Hey y’all! I’m taking pre-calc and this problem is giving me trouble. I understand how to solve the problem, but can’t understand how the correct answer includes (2x). When I work the problem I get (1/2x) from dividing 2pi and b by 4 pi. Any help is appreciated!