MTH301 - Calculus II

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Assignment # 2 MTH 301 Fall 2019 Maximum Marks: 20 Due Date: 27th Jan, 2020 INSTRUCTIONS Please read the following instructions before attempting the solution of this assignment: To solve this assignment, you should have good command over 29-34 lectures. Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in these lectures. You should concern the recommended books for clarification of concepts. Upload assignments properly through LMS. No Assignment will be accepted through email. Write your ID on the top of your solution file. Do not use colored backgrounds in your solution files. Use Math Type or Equation Editor etc. for mathematical symbols and equations. You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students. Therefore, try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks. Avoid copying the solution from book (or internet); you must solve the assignment yourself. Also remember that you are supposed to submit your assignment in Word format any other like scan images, HTML etc. will not be accepted and we will give zero marks correspond to these assignments. Question: 1 Marks: 10 Show that the given differential is an exact differential and then integrate it dz=(x^2-4xy-2y^2)dx+(y^2-4xy-2x^2)dy. Question: 2 Marks: 10 Evaluate the line integral [image: a17tIuT.png] , where C is the line joining the points (0,-1) to (1,2).

Assignment # 1 MTH 301 Fall 2019 Maximum Marks: 20 Due Date: 29th Nov, 2019 INSTRUCTIONS Please read the following instructions before attempting the solution of this assignment: To solve this assignment, you should have good command over 8-14 lectures. Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in these lectures. You should concern the recommended books for clarification of concepts. Upload assignments properly through LMS. No Assignment will be accepted through email. Write your ID on the top of your solution file. Do not use colored backgrounds in your solution files. Use Math Type or Equation Editor etc. for mathematical symbols and equations. You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students. Therefore, try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks. Avoid copying the solution from book (or internet); you must solve the assignment yourself. Also remember that you are supposed to submit your assignment in Word format any other like scan images, HTML etc. will not be accepted and we will give zero marks correspond to these assignments. Question: 1 Marks: 10 [image: v1rorKj.png] Use chain rule to find and show it as a function of t. Question: 2 Marks: 10 Find the directional derivative of the function (x,y)=xe^y+y ln⁡z , at the point (-1,0,1) and in the direction of the vector [image: IL5dmgd.png]

Quiz 1 Total Questions : 20 Please read the following instructions carefully! Quiz will be based upon Multiple Choice Questions (MCQs). You have to attempt the quiz online. You can start attempting the quiz any time within given date(s) of a particular subject by clicking the link for Quiz in VULMS. Each question has a fixed time of 90 seconds. So you have to save your answer before 90 seconds. But due to unstable internet speeds, it is recommended that you should save your answer within 60 seconds. While attempting a question, keep an eye on the remaining time. Attempting quiz is unidirectional. Once you move forward to the next question, you can not go back to the previous one. Therefore before moving to the next question, make sure that you have selected the best option. DO NOT press Back Button / Backspace Button while attempting a question, otherwise you will lose that question. DO NOT refresh the page unnecessarily, specially when following messages appear Saving... Question Timeout: Now loading next question... Javascript MUST be enabled in your browser; otherwise you will not be able to attempt the quiz. If for any reason, you lose access to internet (like power failure or disconnection of internet), you will be able to attempt the quiz again from the question next to the last shown question. But remember that you have to complete the quiz before expiry of the deadline. If any student failed to attempt the quiz in given time then no re-take or offline quiz will be held.