You wish to estimate the average weight of a pet rat. You obtain 40 rats (eas- ily and cheaply done; keep them, because they make excellent pets), sampled uniformly at random and with replacement from the pet rat population. The mean weight is 340 grams, with a standard deviation of 75 grams.

(a) Give a 68% confidence interval for the weight of a pet rat, from this data.

(b) Give a 99% confidence interval for the weight of a pet rat, from this data.

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

If f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)

Divide. write in simplest form 41/6 divided by 10