Forecasting Profits As a result of increasing energy costs, the growth rate of the profit of a 4-year old glassblowing company has begun to decline. The company's management, after consulting with energy experts, decides to implement certain energy-conservation measures aimed at cutting energy bills. The general manager reports that, according to his calculations, the growth rate of their prot should be on the increase again within 4 years. If the glassblowing company's profit (in hundreds of dollars) I years from now is given by the function P(t)= 13t2+20t+50 (05:58) determine whether the genera! manager's forecast will be accurate. Hint: Find the inflection point of the function P and study the concavity of P. Yes, the forecast will be accurate. 0 No, the forecast will not be accurate. Fencing. A fence is to be built around a rectangular area of 14 square metres. The dimensions are x and y. On one of the sides with length x, there is a gap of 05x that has no fence The goal is to find the dimensions for the minimum fence length (a) The length equation can be expressed as L(x)=1.5x+ X 0 L(x)=14+2x O L(x)=2x+ X 0 L(x)=1.5x+L X 28 O L(x)=1.5x+i X (b) The length x for the minimum fence length is (9 None of the other answers 0 29396 m 0 4.3205 m 0 1,8001 m 0 4,1572 m \fDifferentiable Function. If a differentiable function f(x) satisfies f( - 3 ) = f(3) then there exists a c in (-3,3) with Of ( c ) = 0 Of" ( c ) = 0 Of" ( c ) 0 Of' ( c ) > 0 Of ( c ) = 0 Of ( c ) > 0 Of ( c )