pls i wanna get how much its cost me? Haydar UserId:35201 Document Preview: Assignment 2Due : 4pm Friday 7 SeptemberMAS182 Applied MathematicsSemester 2, 2012Mathematics and Statisticsx1. Find...

pls i wanna get how much its cost me?

Haydar

UserId:35201

Assignment 2 Due : 4pm Friday 7 September MAS182 Applied Mathematics Semester 2, 2012 Mathematics and Statistics 1. Find the equation of the tangent line to the graph of y = x√ x2 − 1 at x = 2. 2. Using the method outlined in §5.4 of the textbook, sketch the functions (i) f(x) = 2x x2 − 1 (ii) f(x) = x3 − 6x2 + 12x. Note: The key features of a function to be considered are: 1. Domain; 2. x- intercepts and y-intercept; 3. Vertical and Horizontal asymptotes (where applica- ble); 4. First derivative to identify critical points and regions where the function is increasing/decreasing (you should indicate clearly whether a critical point is a local max/min or neither); 5. Second derivative to identify possible inflection points and regions where the function is concave upward or downward. 3. Find the absolute maximum and minimum of the function f(x) = x3−3x2−24x+5 for x ∈ [0, 5]. 4. An open-topped box is to be made by removing a square from each corner of an 90cm by 55cm rectangle of cardboard and then folding up the sides to make the box. What size square should be removed so as to maximise the volume of the box? What is that volume? Notes: • 10% of the marks for this assignment are reserved for presentation. • There are penalties for late assignments. You must contact your tutor before the due date if you have difficulties making the deadline. 1