For the following, assume that Plants A and B have the following marginal costs for reducing emissions:Number of units reduced Marginal costs for Plant A Marginal costs for Plant B1 3 12 5 23 7 34 9 55 11 9(a) The government tells both plants to reduce three units of output. How much does this "conventional" regulation cost each plant? Whatâs the total cost?(b) The government implements a carbon tax of $5 per unit. How much does each plant reduce? What is the total cost?(c) Which approach is cheaper? Why is the cheaper approach cheaper?

Which example has gravitational potential energy? a. a horse slowing down from a run b. an apple about to fall from a tree branch c. a bicycle being pedaled down a horizontal path d. beaker sitting on the floor

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.

7. see worksheet 1 for values of variables x1, x2 and x3 and answer the following questions: a. for each variable find the mean, median, coefficient of skewness, range and population standard deviation. b. compared to variable x1, how are the mean and median affected by extreme values (outliers) seen in x2 and x3. c. is the median or mean the better measure of location for x2 and x3? explain. d. explain the differences in the magnitudes of the skewness coefficients for the three variables. e. what is the relationship between the range and standard deviation looking across the three variables?