Vector fields, integrals, and Green's Theorem
Provide answers to all questions.
Need full steps and solutions shown for questions 21 and 24 only.
Answer
 The questioner was satisfied and accepted the answer, or
 The answer was disputed, but the judge evaluated it as 100% correct.
3 Attachments

A curve is called closed if its terminal point coincides with its initial point: r(b) = r(a). Open means that for function D, for every point, P in D, there is a disk with center P that lies entirely in D (so D doesn't contain any of it's boundary points). Connected means that any two points in D can be joined by a path that lies in D. A simply connected region in the plane is a connected region D, such that every simple closed curve in D encloses only points that are in D.

Intuitively speaking, a simply connected region contains no hole and cant consist of two separate pieces. If you can sketch the region, I can determine the answer based on examples given for the concepts for question 9.

For 17 part b, grid curves obtained by letting u be constant are horizontal lines, whereas grid curves with v constant are circles. If v is constant, the sin v and cos v are constant, so the parametric equations resemble a helix. This, grid curves with v constant are spiral curves. Grid curves with u constant are curves that look like circles.

Also, three out of the first five questions came up as incorrect, so can you please double check all the answers.

I will recorrect everything, let me know the exact question numbers which are wrong!

If you have the second try to submit the answers for wrong entries ?

Sketch explanation added in the solution for #9.

Questions 1, 3, and 5 were wrong. If you could correct those and double check the rest of the questions to ensure they are correct, it would be appreciated.

Corrections applied

Thank you. Everything looks good, I'm just not sure about 17 b and c. I tried guessing (based on my notes) the 2nd option for u constant and the 3rd option for v constant, but both were wrong. I'm not sure if you'd have any guesses based on what I shared.

If you have any question which is similar to 17 then attach it here by clicking add a file! I may easily do after that!

It doesn't let me attach more files, but no worries.

Thank you,
 answered
 130 views
 $115.00
Related Questions
 Show that the distance between two nonparallel lines is given by $\frac{(p_2p_1)\cdot (a_1\times a_2)}{ a_2\times a_1}$
 Compounding interest of principal P, where a compounding withdrawal amount W get withdrawn from P before each compounding of P.
 Find $n$ such that $\lim _{x \rightarrow \infty} \frac{1}{x} \ln (\frac{e^{x}+e^{2x}+\dots e^{nx}}{n})=9$
 Find the quadratic approximation of the following functions at the given points
 Vector Sketching
 Convex subset
 Calculate $\iint_R (x+y)^2 e^{xy}dx dy$ on the given region
 Stokes' theorem $\int_S \nabla \times F \cdot dS= \int_C F\cdot dr$ verification