Adoctor administers a drug to a 32-kg patient, using a dosage formula of
53 mg/kg/day. assume that the drug is available in a 300 mg per 5 ml suspension or in 500 mg tablets.

a. how many tablets should a 32-kg patient take every four hours?
b. the suspension with a drop factor of 10 gtt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of gtt/hr?

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

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

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x