Let w ={ (x, y, z); |√(x^2+y^2+z^2)|; x, y,z ∈ℝ} prove that w is a subspace of ∈ℝ
how could i resolve this subspace.

Shiny white dental insurance costs $258 per year. approximately one-third of insured people need a filling, which averages $110 each. 80% of insured people get a preventive check-up each year, and the average cost of this visit is $95. if you consider shiny white’s income and expenses, what is the expected value of each insured customer?

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.