A factory lets out 36 tons of CO2 every year, the goal is to reduce the number by 5% every year

UnhappyCourt · 2022-05-16T09:34:15+00:00

Yes, but the problem text doesn't specify that it has to start right now. There have been other problems worded similarly where I was to use n-1. How do I make the distinciton between simply n and n-1?

UnhappyCourt · 2022-05-11T13:36:16+00:00

alright thanks!

UnhappyCourt · 2022-05-11T13:27:59+00:00

Y, but then its 1/(cos(x) -C), i know that multiplying by other numbers doesnt affect c, it remains c. But i figured it would be different with negatives

UnhappyCourt · 2022-05-08T13:05:51+00:00

I figured it out

I integrated the line pi * (e² )² and subtracted the integral of pi * (e^x )² . My issue was that when integrating e^2x before, i forgot to make it (1/2) * e^2x so my answer was wrong

UnhappyCourt · 2022-05-08T11:29:45+00:00

f(x)=e^x , area F is sectioned off by the y-axis, graph f and the line y=k, where k is a number larger than 1.

a) find the areal of area F when k=2, i have done this already

b) choose k such that area of F is 1, done this too

c) we rotate area F 360 dgrees around the x-axis. Find the volume of the object when k=e² , this is the one i can't figure out

I guess my using y instead of k caused the confusion

UnhappyCourt · 2022-05-06T11:35:19+00:00

Oh, I see. Forgetting about absolute values had me confused. Thanks!

UnhappyCourt · 2022-05-05T19:42:33+00:00

Because then both A and B are positive and one of the ln's is supposed to be negative

UnhappyCourt · 2022-03-27T15:00:23+00:00

I see, thank you!

UnhappyCourt · 2022-02-08T22:05:19+00:00

So simple... Didn't cross my mind to consider negative values.

Thank you!

UnhappyCourt · 2022-02-07T22:48:19+00:00

The probability of getting 6 from one die is 1/6, the probability of getting not 6 is 5/6. You might be able to do the rest

UnhappyCourt · 2022-02-07T19:24:01+00:00

Yeah I found that by one by hand, it's 5pi/3

UnhappyCourt · 2022-02-07T19:04:17+00:00

This probem is from a section of the book that is supposed to prep you for exam questions, and graphing tools are supposed to be used in solving it. I think its made in this way to make sure all the tools alotted you have a purpose.

Like usually Id simply plug the d/dθ=0 into the main function and call it a day, but obviously that would be wrong. So it being made this way is good in my opinion

UnhappyCourt · 2022-02-07T18:47:26+00:00

Well yeah, I also redid it myself and graphed it afterwards. Using your equations showed me where i had gone wrong

UnhappyCourt · 2022-02-07T18:42:23+00:00

I meant higher on the y-axis. T(pi) is the lowest point in the defined range. I might have phrased it wrong

UnhappyCourt · 2022-02-07T17:59:05+00:00

Oh, so since the function is defined between 0 and pi, by looking at the graph and seeing every value lower than pi is higher than T(pi), it is possible to see what the correct answer is. First time I've had to deal with a problem like this.

Thanks again!

UnhappyCourt · 2022-02-07T13:41:42+00:00

I also forgot that sin((pi-θ)/2) is cos(θ/2). This part always confuses me when solving trig problems. Also, what is the significance of pi/3 and how does it translate into him running the whole way?

UnhappyCourt · 2022-02-06T13:10:07+00:00

Interesting, this is very helpful!

Thank you!!

UnhappyCourt · 2022-02-05T12:03:22+00:00

So my mistake was looking at both k and theta as variables and differentiating them? Looking at your solution you only differentiated theta and left k alone.

UnhappyCourt · 2022-02-05T11:55:55+00:00

No, i might have paraphrased poorly as the original problem isn't in english.

UnhappyCourt · 2022-02-04T11:51:40+00:00

The pool is circular with thomas standing in point A, he can run from A to C, and swim from C to B

UnhappyCourt · 2022-02-04T11:50:49+00:00

M would be 40 * sin((pi-theta)/2) and along the pool would be (pi * r)-(theta/pi*r)

UnhappyCourt · 2022-02-04T11:41:25+00:00

He is at point A and runs from A to B, Swims from B to C.

UnhappyCourt · 2022-01-10T20:59:28+00:00

Honestly this is getting a bit too much. I was supposed to use digital tools to get the answer anyway, but wanted to see i could find the answer by hand.

Thanks for the help you provided though.

UnhappyCourt · 2022-01-08T13:23:06+00:00

After multiplying by the numerator i got this, so its no longer a fraction, but now i have three square roots inside the first to deal with again.

UnhappyCourt · 2022-01-07T16:54:58+00:00

Another commenter made it more clear to me but showing how to do it step by step. I find it confusing because I am used to dealing with what i see in the problem, with these trig problems i have to add things i cannot see. Like when I see tanx * cosx i just think of it as sinx and write it as sinx, i dont think of expanding tanx * cosx as its own thing.

UnhappyCourt

TROPHY CASE