APPLICATIONS OF DIFFERENTIATION [MAXIMUM & MINIMUM VALUES

APPLICATIONS OF DIFFERENTIATIONQuestion1Question 2Question 3Find the maximum profit that a company can make, if the profit function is given by p(x) = 41 - 72x - 18x2Question 4Find the maximum value of 2x3 – 24x + 107 in the interval [1 , 3 ]Question 5Find two numbers whose sum is 24 and whose product is as large as possibleQuestion 6A square piece of tin of side 18 cm is to be made into a box without top, by cutting off a square from each corner and folding up the flaps. What should be the side of the square to be cut off so that the volume of the box is maximum ?Question 7Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.Question 8Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is of the volume of the sphereAnyone needs online tuition on this topic can contact me at:georgeignatiusxx@gmail.comgeorgeignatius9 [Skype]Rate: 8 US Dollars per hour payable instantly through PAY PAL