Is this right? which of the following is the best linear approximation for f(x) = tan(x) near x = 3pi/4? i used the linearization equation y=f(a)+f'(a)(x-a) y=f(3pi/4)+f'(3pi/4)(x-3pi/4) y=tan(3pi/4)+sec^2(3pi/4)(x-3pi/4) y= -1+2(x-3pi/4) y= -1+2x-3pi/2 2y=4x-3pi-2 is this correct?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

What is the interquartile range of this day at set?

If f(x) = 5х – 2 and g(x) = 2х + 1, find (f – g)(x).