Homework Statement
4. Give a c > 0 and an integer n0 ≥ 1 such that, for all n ≥ n0.
b. 16n log (n²) ≤ cn²
The answer (from the sheet) is c = 32
Homework Equations
..
The Attempt at a Solution
When I attempt to solve such an equation I start at n=1, then go to n=2. but that way I get the...
Homework Statement
In a population of children 60% are vaccinated against the 'waterpokken'. The probablilities of contracting 'waterpokking' are 1/1000 if the child is vaccinated and 1/100 if not.
a: Find the probability that a child selected at random will contract 'waterpokken'.
Homework...
Would you also like to give an answer to my last question?
3. How can you be sure that the points you choose won't result in vectors that are linearly dependent?
Attempt: Because a plane is non-collinear; if the points on the plane aren't on the same line, the vectors formed by those points are...
Hi, thanks very much! It's much more clear now! Three more questions and my attempt:
1. What is the key to create three points on different lines?
Attempt: I suppose make sure that the combination should not be a scalar multiply of the other points?. So point R could be (3, 6, 5\frac{2}{3})...
Homework Statement
How to convert an implicit representation to a parametric
Homework Equations
Implicit: ax + by + cz = d.
Parametric: (x,y,z) = (xp, yp, zp) + s(xv,yv,zv,) + t(xw,yw,wz)
The Attempt at a Solution
For parametric to implicit it would look like this:
(x,y,z) = (0, 7, 6)T +...
Homework Statement
Suppose that a linear transformation maps a point (2,3) to (0,1) and maps a point (9,7) to (1,0). Find the matrix for this linear transformation.
2. Solution (answersheet)
Observe that the two point that are the result of the mapping are the two base vectors.
If our...
Ow yeah. I'm being stupid.
And if two vectors are parallel? then the angle is, I suppose 180 degrees? What equation would I need to solve in that case?
(i'm sorry, my teacher is very unclear about these things, he puts questions on his sheets but doesn't always give the answers during class)...
ok. so let me reform:
(21-3k) / √(17+k²) * √35 = 0
\frac{21-3k}{\sqrt{17+k²} * \sqrt{35}} = 0
what would be the easiest way to get to k = 7? (when I put 7 as k I get zero, so the equation is correct)
Homework Statement
Vectors
find k if (4,1,k)τ & (5,1,-3)τ are perpendicular?
From the answer sheet I know the answer is k = 7
Homework Equations
I believe I need these two but I'm not certain:
Dot-product: v*w = v1w1 + v2w2 + ... vdwd
cos θ = v*w / ||v|| * ||w||
The Attempt at...
hm okay. like x^-3. got it.
I guess I should learn this formula, not only because it's a "familiar" one for you guys. But also because for some reason it's not on my formula sheet.
:) tnx for your help.
how to compute the ANTI derivative of 1 / x^3
I think I need the formula: f(x) = 1/x^n than f'(x) = -n/x^n+1 but I'm not sure and don't know how to use it.
I know the answer is: -0.5 * x^-2 but have no idea why.
could someone explain this to me please?