MATH24376/SG/ Page 1/6 MATH24376: APPLIED CALCULUS ASSIGNMENT 3 Student Name Student Number Date • Take the printout and write your answers in the space provided. • This is an individual assignment....

I just need this done for tomorrow


MATH24376/SG/ Page 1/6 MATH24376: APPLIED CALCULUS ASSIGNMENT 3 Student Name Student Number Date • Take the printout and write your answers in the space provided. • This is an individual assignment. Assignments copied in whole or in parts will receive a grade ZERO. • This assignment will be graded and is worth 6% of the total (100). Total marks is 24. • Show your work and include all formulas that you used to obtain your results. • SUBMISSION POLICY: DUE DATE: Tuesday, February 4, 2020, 8:00 A.M. SUBMISSION POLICY WILL BE STRICTLY FOLLOWED If you have any question/concern regarding submission policy please clarify with me during the lecture time. • Submit your written work (hard copy) in class on the due date during the first 15 minutes of the class. • NO ASSIGNMENTS (HARD COPY) SHOULD BE SLIDED IN THE DROP BOX. • If the hard copy is not given during the first 15 mins of the class, then it is considered late. • Late submission will be accepted only as a Dropbox submission on SLATE. NO HARD COPIES FOR LATE SUBMISSION. • Late submission will be accepted for 3 days after the due date with 10% penalty for each day. • Write your solution using blue/black pen. Assignment written with pencil will not be marked and will be assigned zero. MATH24376/SG/ Page 2/6 1. [4 marks] Find the derivative of each of the following functions: i. ?? = 1 5 ??5 − 3??3 − 9?? ii. ?? = √??4 (3 − ??2) iii. ?? = −??1.5 + √2??3√2 iv. ?? = ?? −2 −2 − ??−1 MATH24376/SG/ Page 3/6 2. [5 marks] Find the equation of the tangent line to ?? = 3??2 − 10?? at ?? = 3. MATH24376/SG/ Page 4/6 3. [5 marks] Find the derivative of each of the following functions using the product rule. You do not have to simplify your answers. i. ?? = (??3 − 2)(√?? − 1) ii. ?? = (2??2 + ??)(5??2 − 3?? + 2) MATH24376/SG/ Page 5/6 4. [5 marks] Find the derivative of each of the following functions using the quotient rule. You do not have to simplify your answers. i. ??(??) = ?? 2+1 √??+2 ii. ??(??) = ?? 2− ?? − 1 ??3 MATH24376/SG/ Page 6/6 5. The amount of data “D” (in GB) stored on a disk at a time “t” (in minutes) is given by: ??(??) = ?? 2 √2??+5 + 1 a) [2 marks] What is the amount of data stored on the disk at t = 2 minutes? b) [3 marks] What is the data transfer rate at t = 2 minutes?