Question: Let r = f (Î¸), where f is continuous on the closed interval [Î±, Î²]. Derive the following formula for the length L. of the

Let r = f (Î¸), where f is continuous on the closed interval [Î±, Î²]. Derive the following formula for the length L. of the corresponding polar curve from Î¸ = Î± to Î¸ = Î².

VIS(0) + [f"(0)} do

Step by Step Solution

★★★★★

3.49 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

That dt for x and y ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

955-M-C-D-E (2801).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

(a) Use Formula 10.2.6 to show that the area of the surface generated by rotating the polar curve r = f (Î¸), a ¤ Î¸ ¤ b (Where f is continuous and 0 ¤ a...

Let V Î¸ be open in R2. A function F: V R2 is said to be conservative on V if and only if there is a function f : V R such that F = f on V. Let (x, y) V and let F = (P, Q) : V R2 be...

Let C0 and C denote the circles z = z0 + ReiÎ¸ (Ï ¤ Î¸ ¤ Ï) and z = ReiÎ¸ (Ï ¤ Î¸ ¤ Ï), respectively....

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

b2 g) Assume instead that at time 0, people in the SOE become aware that a monetary tightening in the leading countries in the world economy is underway. As a crude representation of this, suppose...

explain ANSWER ALL In this problem we consider a model of a closed economy in the "very short run". Time is continuous. The assumptions are: = (( ) + ) (1) 0 0 1 0 0 = ( ) 0 0 (2) = 1 (3) 1 + = (4)...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

A three-point bend test is performed on a block of ZrO2 that is 8 in. long, 0.50 in. wide, and 0.25 in. thick and is resting on two supports 4 in. apart. W hen a force of 400 lb is applied, the...

The following transactions of Dunn Miles occurred during 2014: Apr. 30 Miles is party to a patent infringement lawsuit of $ 230,000. Miless attorney is certain it is remote that Miles will lose this...

Find a Cartesian equation relating xx and yy corresponding to the parametric equations x = e 4 ty = e 3 tx = e 4 ty = e 3 t Write your answer in the form y = f ( x )

Draw a graph of mass against time where the mass is increasing, is equal to 10.0 kg at 13 yr, and has a growth rate of exactly 4.0 kg/yr after 1 yr. An organism grows from 4 kg to 60 kg in 14 yr....

Draw a graph of mass against time where the organism reaches 10.0 kg at 1 yr, and has a growth rate of exactly 4.0 kg/yr at 13 yr. An organism grows from 4 kg to 60 kg in 14 yr. Suppose that mass is...

A car starts at 60 mph and slows down to 0 mph. The average speed is 20 mph after 1 h. Draw the positions of cars from the above descriptions of 1-h trips. What speed must the car achieve according...

(c) How might the statement of cash flows help the user of the financial statements? P5-7 (L01,3,5,6) GROUPWORK (Preparation of a Statement of Cash ing balance sheet at December 31, 2016. Flows and...

please show work for how you calculate the payment amounts. Using N, I, PV,FV Exam 2 -Critical Thinking Question 2 Question: Your cousin is aware that you are taking a finance class and has come to...

First drop down: does not allow us & allows us. Second drop down: is & is not. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions...