Recent content by Kris1

Nevermind problem solved

Hi, My question in my Stewart Calculus book is the same as http://faculty.tru.ca/smcguinness/M317W11/M317W11quiz4sol.pdf However when I work out the solution I seem to get a different value. My solution is integral from 0 to 2pi 16 <2cos^2t,2sin^2t,cos(t)sin(t)> 64 integral from 0 to 2pi...

Yes that is what I meant

Hi Mark, I realized my error and corrected it as your post went up. Thanks for the reminder though

Hi I am trying to find the gradient function of f(x, y) = 2*y^3+y*x*2+7/2 y^2+x^2 I have worked out the answer to be d/dx = 2*y^3+2*y*x+7/2*y^2+2*x d/dy = 6*y^2+x^2+(7/2)*2*y+x^2 Can someone please check this to make sure I have done the partial derivatives correctly as I am unsure if they...

Thanks for the help The answer I worked out to be was (10*t*i+6*t*j-5*k)/(sqrt(136*t^2+25)) I at first got it wrong because I tried this answer (10*t+6*t-5)/(sqrt(136*t^2+25)) But that didn't account for the i,j,k in the original vector hence the answer is...

A particle moves such that its position vector, as a function of time is r(t) = (5*t^2)*i + (3*t^2)*j − (5*t)*k Im trying to find the unit tangent to the trajectory as a function of time. However I can't seem to find any formula of how to do this. Can someone please help me with a formula or...

yes that clears things thankyou :) problem has been solved now

Actually no :/ I need to ask how I am going to find the vector?? Do I just solve the equation for L and then provide that as the answer?

Apologies the curve is actually. r(t) = 2*t*i + 2*t^2*j − 2*t^3*k I provided the wrong equation from something else I was working on. I was wondering why it indeed looked odd :/ Does this look better??

Thanks this makes a lot of sense. Combining two like this makes a lot of sense. This will make all of my further calculations easier thank you :)

Im trying to combine this domain into something of the form a>b and b<c however I cannot seem to convert this equation :/ Is it possible to convert this domain into a single expression?? The domain is sqrt(x^2+y^2-1)>0 and 1<= x^2+y^2 <= 20 any ideas?? I've encountered this problem many...

For the curve defined by r(t) = 3*t*i + 2*t^2*j − 3*t^4*k Find the tangent vector r′(t0) at the point P(4,8,−16), given that the position vector of P is r(t0). and Find the vector equation of the tangent line to the trajectory through P. Im unsure as to how to go about solving this. I've...

So u are saying that for the first one my answer should be -11+(-2*i)? is that what i am understanding?

z1 = −11+2 i and z2 = −1+13 i are given I need to find the following in the form x + y i. conjugate of z1 = conjugate of z1z2= z1/z2 = a) how would i go about it and b) can someone provide the solutions to the questions if possible