Β Tutor-Marked Assignment 01 (TMA01)
This assignment is worth 12% of the final mark for MTH316 Multivariable Calculus. The cut-off date for this assignment is 27 February 2025, 2355hrs.
Note to Students: You are to include the following particulars in your submission: Course Code, Title of the TMA, SUSS PI No., Your Name, and Submission Date. For example, ABC123_TMA01_Sally001_TanMeiMeiSally (omit D/O, S/O). Use underscore and not space.
Need Help Writing an Essay?
Tell us about your assignment and we will find the best writer for your project
Write My Essay For MeQuestion 1
Define a function π: β2 βΆ β2 by
(a) Determine the value of k for the function π to be continuous at (0, 0), if any. (Use this value of k for the following sub-questions.) (10 marks)
(b) Show that ππ₯(0, 0) and ππ¦(0, 0) both exist and find their values. (10 marks)
Hire a Professional Essay & Assignment Writer for completing your Academic Assessments
Question 2
A GPS application designed for hikers measures the altitude, z, at various positions on terrain and performs a regression, yielding the altitude function below, where x, y, and z are measured in km.
Β
(a) State an equation that describes the level set of the function and use it to plot the contours of the terrain at the altitudes of 1.3 km, 1.5 km and 2 km with a graph plotter. Attach a screenshot of the graph and label each contour with its equation clearly. (8 marks)
Buy Custom Answer of This Assessment & Raise Your Grades
(c) A hiker is walking along a path given by π¦ = 1 β π₯ β π₯3. Sketch the path on your graph in part (a) and compute the directional derivative along the path at (0, 1) in the direction of increasing altitude. Explain briefly the meaning of this value of the directional derivative. (10 marks)
(d) The GPS carried by the hiker in part (c) shows that his ground speed is 0.8 m/s. Compute the hikerβs ascent rate (concerning time) as he crosses (0, 1). What is the degree of slope and how fast is he walking in the upslope direction? (7 marks)
(e) Another hiker is planning to walk from (5/2, 5/4) to (4, 2) in a straight line. From the contours plotted in part (a), explain the terrain he will experience along this path (without using calculations). (7 marks)
Β
The post MTH316 TMA01:Analysis of Continuity, Derivatives, and Gradient Functions β Singapore Assignment Jan 2025 appeared first on My Assignment Help SG.
The post MTH316 TMA01:Analysis of Continuity, Derivatives, and Gradient Functions β Singapore Assignment Jan 2025 appeared first on Write My Paper.
Save your valuable time by using our professional essay writing service. We assure you of exceptional quality, punctual delivery, and utmost confidentiality. Every paper we provide is meticulously crafted from scratch, precisely tailored to your instructions, and completely free of plagiarism. Trust us to deliver excellence in academic writing.
Together we can improve your grades. Our team of competent online assignment writers provides professional writing help to students in all academic levels. Whether you need a narrative essay, 5-paragraph essay, persuasive essay, descriptive essay, or expository essay, we will provide you with quality papers at student friendly price.