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Hi, guys I was doing some revision today and came across these trigonometric results questions and I must have skipped the lesson becuase I have no idea on what I have to do to solve them. Any help on solving the following is greatly appreciated: 4) Simplify the following:

Thanks guys, i was subracting instead of dividing when using them simulataneously. Thanks again for the help.

Hi, I need a bit of help with the following question: I tried to solve simultaneously but ended up with r^2-r which I couldn't really use. Any help is greatly appreciated. Thanks.

Of course...that makes much more sense. Thank you for the help.

Thanks for the response. Im still a little confused however... In question 53b) i don't see how you got pi . [(-x^-1)] 5, 2 from pi .∫x^-2 dx [5, 2]. And in question 55b) i do not understand the last part about the area of rectangle enclosing the whole area...isn't 2 the area??? And the answer...

Hi all, im struggling with finding the volumes and areas in these questions. I have solved part (a) in both of these questions but cannot solve part (b) in both: I made out 53a) to equal ln (5/2) units^2 and 55a) to equal 1.29 units^3 which are both correct according to the answers. However, I...

EDIT: I see where I went wrong...in affect I was finding the second derivate of the numerator...that was my mistake. Thanks for the help.

Hi guys, I am struggling with this question here: I have listed my answer (well as close as I have got to the answer) beneath the question, however it is incorrect according to the book. I used the product rule to first derive the numerator to get the equation, (1+lnx)/e^x. I then used the...

Hello, im struggling with components in these two questions: Im completly unsure of how I would integrate in question 2, the e^x^2 confuses me the most. In question 8 I am stuck on how I would turn y=e^x into x=..., I am fine with the simpsons rule part. As always, any help is greatly...

ahk, my mistake lol...

but shouldn't it be (pi/2).e^2(e^3-1)???

Ah ok, that makes more sense, i wasn't breaking it up into two parts. Have you guys got any idea on how the book came up with (pi/2).e^2(e^4-1) as the answer for question 11???

Thanks for the response...question 11 is alot more clear now, however the answer in the book is (pi/2).e^2(e^4-1). I just need a bit of clarification on q12...it seems you've added the 1 to ∫▒〖(x-6)/(x-1) dx should it then be ∫▒ (x-5)/(x-1) dx or is there something that i'm missing when it comes...

I am struggling with these two questions: I am unsure of how to integrate e^2y in question 11 and am stuck on the second half of question 12, as in I can show that they equal (x-6)/(x-1) but am struggling when it comes to integrating. Thanks in advance for any help. BTW sorry about the...

All makes sense now and ended up being the right answer which is always a good sign lol. Thanks for all the help.

Ahk, i misread the equation thats why i didn't understand i though it read 1/(x-2)=0. Anyway this is my final question, howcome in question 10 it stated that 1 - ln x = 0 shouldn't it read (1-lnx)/x^2=0??? And with regard to determing its nature, how do you test for numbers below and above...

Of course, why didn't i think of that lol. Now my problem lies in how you made y''=0 as when I use x=1/2 in the eqauation 1/x-2 i don't get 0 as an answer :S?

Sorry guys, im still a little confused as to how you got the first derivative. In question 9 for example i would have though the first derivative would have been y'=1.(1/x)-2x because you derive the log... Could you explain where I am going wrong?

Hi guys, i need some more help with logs and deriving them and stuff. Two questions I struggled with are below, I can get the first derivative for question 9 but am unsure of how I would get the second derivative and make it equal zero ect. And i'm completly lost on question 10 as far as making...

Thanks for the help guys, makes much more sense now :D. Tommykins, as foram said, i use word 07 and photoshop to produce and cut the equations. Thanks again.