Homework Statement
A = 2i + 3j
B = -5i + 6j
Calculate (draw vector diagram)
A + B
A - B
Homework Equations
actually we're just confused as to whether we need to use the angles to answer this or just answer it directly, meaning that for A + B the answer would be -3i + 9j
The...
I meant the second one :)) x+8 under the sqrt sign
okaaay. Wait, I'll try to use the solution you suggested. Not quite sure if I can do it, thanks for the help :))
Homework Statement
prove that
2√2 <= ∫(from 0 to 1) (√x+8) dx <= 3
Homework Equations
The Attempt at a Solution
well...my only idea on how to solve this would be to evaluate the middle term, but my prof says it's not allowed. Do I just assign functions to the left and right...
yes yes, but using the solution you just presented really never crossed my mind and I am sorry about that. Could've saved me some time...
Lesson learned, next time I'll...experiment on everything :)))
thank you dude!(if you are a dude) you are awesome XDDD
oh wow. good god that never crossed my mind... TT_TT
awesome answer to the problem
was so caught up with the form
lim f(x) = f(a)
x -> a
thankyou :)))))
what I mean is, how can we evaluate the one-sided limits if it's x=0 or x=/=0??
i really can't make it continuous at f+g and fg at the same time, I am using
f(x)
= 1 ; x>=0
=-1 ; x<0
g(x) = |2|
= 2 ; x>=0
= -2 ; x<0
I just made the conditions either x>=0 or x<0 so that I could...
but wait, I'm sort of confused as to how I do this.
How do I verify that the limit exists if it's x=0 or x(is unequal to)0 in:
lim f(x) = f(0)
x -> 0
and, how do I add and multiply? Do I choose f(0) or f(x)??
no no i don't. I think I did post this question twice though. Didn't see the forum for homework at first.
though if you're talking about goodheavens, that person might be someone from the same school as me
i used the piecewise function:
f(x) = x^2 + 2 ; x<0
x^1/2 + 1 ; x>=0
g(x) = -3+x ; x<0
x-2 ; x>=0
they should be continuous at f+g (if I didn't do anything wrong), but I'm still working on fg