Question: Consider the spherical polar coordinates (r, 9, () defined such that. x = r cos() sin(9), y = r sin(@) sin(9), z = r cos(9)

Consider the spherical polar coordinates (r, 9, () defined such that. x = r cos() sin(9), y = r sin(@) sin(9), z = r cos(9) The associated scale factors are given by h, = 1, ho =r, ho = rsin(9), Find the expression of the surface element dS on the c coordinate surface Please give your answer in terms of "theta", "phi" and "r" as = dr do

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

Given the rectangular coordinates (1,-V3) , which of the following polar coordinate pairs in radians represents the same point? O A. -4, 3 O B. 47T 4, 3 O C. (-2, O D. 57T 2, 3If r 1' I] . which of...

1. 3 2 Consider the function f(x) = x - 3x - 9x + 10, x (a) . Find the equation of the straight line passing through the maximum and minimum points of the graph y = f(x). (4) (b) Show that the point...

Lecture - Electric Field Lines We have been finding the electric field vector of source charges at a single point in space There are electric field vectors at all points in space surrounding source...

https://phet.colorado.edu/sims/html/charges-and-fields/latest/charges-and-fields_en.html Lecture - Electric Field Lines We have been finding the electric field vector of source charges at a single...

Please write everything down in a way I can CTRL- C at least for the last 5 questions - 20 - 25 (writing assessments) 11 of 25 Item 10 Which of the following expressions represents the second...

Donnie Smith Assignment Section 9.4 due 04/28/2017 at 11:59pm MST 1. (1 point) Find the area enclosed by the curve r = 9(1 + cos()). Area = Sharma MAT 266 ONLINE B Spring 2017 5. (1 point) Find the...

O 32 20 3) Cos A Find the value of each trigonometric ratio as decimals rounded to the ten-thousandths place. 4) tan Z 8 Find the missing side. Round answers to the nearest tenth. show work i solve...

1 of 25 Which of the following expressions is the derivative of y = cos (In (x + 2))? Item (1 point) Item 2 Item 3 O y' = sin(In(z+2)) O y' = sin(In(z+2)) Item 4 21 Item 5 O y' = - sin (7+2) Item 6 O...

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

Assume that you are going to test computerized controls that your client has put in place. Consider the concept related to program changes. What is the important concept for you to consider when...

Reforming Parliament. Many people have suggested that there are some problems with the way our parliament runs. There is too much power in the Prime Ministers Office, MPs act like trained seals and...

City Street Fund has a portfolio of $640 million and liabilities of $16 million. Required: If there are 32 million shares are outstanding, what is net asset value

originates from a host of sources including: societys laws, customs, practices and unwritten values that shape and determine how people behave and interact with each other. Question 1 5 Answer a ....

Watch the fi lm An Unfi nished Life. Analyze the communication among the four main characters, with a focus on the system within which they operate. What are the elements of the system? Identify two...

Visit the Center for Communication and Civic Engagement, which can be accessed by going to the books online resources for this chapter and clicking on WebLink 1.8. At this site, youll fi nd...

How do diff erent models represent the process of human communication?