Homework Statement
Let the vector V = (x1,y1,z1)
x1' = x1/sqrt(x1^2 + y1^2 + z1^2)
y1' = x1/sqrt(x1^2 + y1^2 + z1^2)
z1' = x1/sqrt(x1^2 + y1^2 + z1^2)
What do you call x1', y1' and z1' in mathematics terms?
is x1' the norm of x1 and y1' the norm of y1?
Thanx
Homework...
Ok...thanx for that...but i have no idea what all those formulas you jst posted mean.
like F support, r normal, F, Mr equivalent etc. Could you please explain what all that is about cos yeh...i don't get any of it. Like i said, i haven't done physics for 4 years. If i don't get the forumulas...
Homework Statement
Hey, I'm currently working a software project where I have a ball on a flat square plane and that plane can tilt up and down and left and right and at a combined angle in both direction
for example diagonally. I haven't done physics since high school (4yrs ago) and I've...
Homework Statement
Let S = {0101, 1010, 1100}. From first principles, find a basis B for the dual code C orthogonal (couldn't find symbol)
Homework Equations
http://www.maths.uq.edu.au/courses/MATH3302/files/codingnotes.pdf
i'm using page 19,20 and 21
The Attempt at a Solution...
Homework Statement
Calculate the flux:
line from (4,6) to (2,6)
using formula: integral v.n dS where v = -yi+xj
n = j
Parametrising:
x = t:
y = 6
Therefore r(t) = ti+6j
r'(t) = i
dS = |r't|dt =>dS = dt
v.n = (-6i+tj) . (j) => t
(As line is going from right to left (4,6) to...
Homework Statement
i'm trying to find the eigenvalues of a matrix and i have the solution but i don't understand how it gets from the step 1 to step 2? could someone please explain.
let # = lambda
Step 1: (1-#)[(2-#)(-1-#)+1]+[3(-1-#)+2]+4[3-2(2-#)] = 0
Step 2: (1-#)(#+2)(#-3) = 0...
Homework Statement
can som1 please give me an idea where to start with this integral.
integral of: cos (2t) x e^2t
thanx
Homework Equations
The Attempt at a Solution
Homework Statement
i'm trying to put the 3x3 matrix: [4 2 6]
[ 2 8 2]
[-1 3 1]
into row echelow from.
but i don't know where I'm goin wrong in my row operations. could some1 please tell...
? I'm trying to find the LU decomposition so U is jst an upper triangular matrix and that's what my answer above is. and from the fact that
det(A) = det(LU) = det(L)det(U) = det(U) as det(L) = 1 the determinant of A has to be equal to the determinant of U. i worked out the determinant of A to...
Homework Statement
i'm trying to put the 3x3 matrix: [4 2 6]
[ 2 8 2]
[-1 3 1]
into row echelow from.
but i don't know where I'm goin wrong in my row operations. could some1 please tell me where i hav...
Partial derivatives
(6x^2+y^2+10x)i + (2xy+2y)j
how am i supposed to find values of x and y that make it equal to zero??
the partial derivative with respect to x is a quadratic function with both x and y terms. so I'm stuck!
Homework Statement
Find all the critical points of f(x,y) = 2x^3+xy^2+5x^2+y^2+100
Homework Equations
The Attempt at a Solution
I'm really not sure how to do this question due the the x^3 term in the function. Could someone please advise how to start this.
Thanx :D
So i'll get grad f = (2xz^4)i-(2yz^4)j - (4z^3 x^2 - 4z^3 y ^2)k
And i substitute, x = 1, y=-2 and z=3 into grad f:
and i get, the coordinates, (162, 324,972). <----Is this right?
does that fact that it is on the plane z= 1 hav anything to do with the solution?
Thanx
Homework Statement
For the function f(x, y, z) = z^4(x^2 − y^2), find the coordinates of
those points in the plane z = 1 at which the direction of the greatest rate of
change of f is parallel to the vector i − 2j + 3k.
Homework Equations
The Attempt at a Solution
i just want...