Parametric equations
transformations : let x = (2 cos t) + h and y = (2 sin t) + k
(a) writing to learn : let k=0 and h= -2,-1,1, and 2, in turn. graph
using the parameter interval [0,2(pi)]. describe the role
ofh.
(b) writing to learn : let h=0 and k= -2,-1,1, and 2, in turn. graph
using the parameter interval [0,2(pi)]. describe the role
ofk.
(c) find a parametrization for the circle with radius 5 and
centerat (2,-3)
(d) find a parametrization for the ellipse centered at (-3,4)
withsemimajor axis of length 5 parallel to the x-axis and
semiminoraxis of length 2 parallel to the y-axis.

You are cycling around europe with friends. you book into a hostel and you ask the owner what the ratio of men to women is currently staying there. there are 24 men and 6 women. what is the ratio of men to women in its simplest form?

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

What are the domain and range of f(x)= -log5(x+2)