Can you help me solve those questions in detail. Thank you.
1. Let W R ! R2, .t/ D 2.cos t; sin t/. - Sketch and describe the graph of . 2. Find an approximate value for 
 a ´ 3:99 .4:98/2 sin.4:03?/
by setting up a suitable function f .x; y; z/ and using an appropriate linear approximation of f .
3. Consider the function
f W R 2 ! R; f .x; y/ D 4x 2 C y 2 (a) Plot and describe a contour map of f .  (b) Plot and describe the graph of f .  (c) Plot and describe the intersection of the graph of f with the xz-plane.  (d) Give a function R 2 ! R whose graph is the tangent plane to the graph of f at the point .1; 2; 8/.  (e) Find the direction of maximal increase of f at .1; 2/.  (f) Find the directional derivative of f at .1; 2/ in the direction toward the point .5; 5/.  4. Determine if any of the following functions is harmonic.
(a) f W R 3 ! R, f .x; y; z/ D x 2 C y 2 C z 2 . (b) uW R ! R, u.x; y/ D x
2 3  3xy .  2 5. Find the local maximum and minimum values of
f W D ! R;  f .x; y/ D x 2 C y 2 C 1
x2y 2 where D consists of all points .x; y/ in R 2 such that x; y ¤ 0.
6. Find the absolute extrema of 
f .x; y/ D 5 C 4x 2x 2 3y 2 on the region D consisting of all points .x; y/ in R 2 with x 2 C y 2 16.
This question was answered on: Jan 30, 2021
Buy this answer for only: $15
This attachment is locked
We have a ready expert answer for this paper which you can use for in-depth understanding, research editing or paraphrasing. You can buy it or order for a fresh, original and plagiarism-free solution (Deadline assured. Flexible pricing. TurnItIn Report provided)
Pay using PayPal (No PayPal account Required) or your credit card . All your purchases are securely protected by .
About this QuestionSTATUS
Jan 30, 2021EXPERT
GET INSTANT HELP/h4>
We have top-notch tutors who can do your essay/homework for you at a reasonable cost and then you can simply use that essay as a template to build your own arguments.
You can also use these solutions:
- As a reference for in-depth understanding of the subject.
- As a source of ideas / reasoning for your own research (if properly referenced)
- For editing and paraphrasing (check your institution's definition of plagiarism and recommended paraphrase).
NEW ASSIGNMENT HELP?
Order New Solution. Quick Turnaround
Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions. New orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.
WE GUARANTEE, THAT YOUR PAPER WILL BE WRITTEN FROM SCRATCH AND WITHIN A DEADLINE.