Find two positive numbers such that the sum of twice the first number and three times the second number is 180 and the product is a maximum. .......... |:| second number |:| . [-15 Points] DETAILS LARCALCET7 4.R.033. MY NOTES Consider the following function. x+5 foo= 2 X (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) X: (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X. Y) = ( ) relative maximum (x, y) = ( ) . [-/1 Points] DETAILS LARCALCET7 4.R.D71. MY NOTES Find the limit, if it exists. (If an answer does not exist, enter DNE.) |' 8X Im xa ,m X + cos(X)