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
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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...
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...
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...
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?