2) A company's price function is pop= 500 - XV x ( ) what is the company's revenue function ? 3 ) consider the equation X y + x y ? = 6 9 use implicit differentiation to find dy b ) what is the marginal revenue function ? If you could not get part ( a ) explain how you would have accomplished this part . ( b ) what is an equation for the tangent line through the point ( 1 , 2 ) on the graph of this equation ? If you could not get part ( a ) , explain how you would have accomplished this part . ( ) Use the marginal revenue function to estimate the revenue from the Sale of the 17th unit assuming 16 units have already been gold . If you could Not get part ( a ) and ( b ) , explain how you would have accomplished this part . 5 ) Answer the following questions about the function 4 ) A ranchers property is Situated Neat to a large () . given the first denvative of is Cliff face . They want to fence in some pasture f'(x ) = 272- 12x+16 for their livestock to graze in . They have enough a ) Give all critical numbers of f materials to make fencing totalling 1 soo feel in length . If the rancher wants their pasture to be in the shape of a rextangle and such that one side of this rectangle is formed by the Gift wall , give the dimensions for the remaining three sides which maximize the area of the pasture and give this maximum . area . b ) on which intervals is the graph increasing ? on what interval" is the graph of this funddion decreasing ? C ) PH which X value (s ) does this function have a relative maximum ? and relative minimum ? OF fees (6) using the following data , sketch a graph - lim x-71- f( ) = 00 limx -> it fox ) = - 00 e ) on which intervals is the graph of this function lim x - - co f ( ) = 2 Concave upwards ? and downwords limx-soo ty ) = 1 f(0 ) = 4 f ( 2 ) = 0 f ( 3 ) = 3 - f (x ) so on the intervals ( -20,1 ) V ( 1 ,2 ) U ( 2 , 3 ) - f' ( x ) 20 on the intervals ( 3,20 ) f ) list any points of inflection on the graph "f " ( xx ) so on the intervals ( = 40 , 1) U ( 2 , 3 ) U ( 3 , 4 ) of this function . - f " ( x ) 2 0 on the interval ( 1 ,2 )