Question: 1. Let F = (M, N) = (3e, 2e) and D be the shaded region in the diagram below. The left-side curve C is

1. Let F = (M, N) = (3e, 2e) and D be the shaded region in the diagram below. The left-side curve C is part of the curve y = 126 and the right-side curve C3 is part of the curve x + y = 1. Let C = C + C+ C3. C C3 I 1 C2 (a) Use Green's theorem to show that [1 mark] M Mdx+Ndy = 0 = (b) Let Im Sc Mdx + Ndy. Evaluate I and 12. Note that [4 marks] e-1 t5e-to dt = 6e (c) Hence determine the value of 13. [1 mark]

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 Mathematics Questions!

Suppose there are three cards, A, B, and C. Two of them will be drawn one by one with replacements. What is the probability of getting (A, B), i.e. the first card is A and the second card is B?

Assume a company sells $ 1 9 . 4 million in gift cards in November, and customers redeem $ 1 2 . 4 million of the gift cards in December. Required: 1 . & 2 . Record the necessary entries in the...

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...

Help me pleaseeeeee Homework: Sec 2.5 Homework Save Score: 0 of 1 pt 2 of 7 (0 complete) HW Score: 0%, 0 of 7 pts 2.5.3 Question Help The Greens are moving. Their real estate agent located 75 houses...

MAT 271 Lab 7 Area Under a Curve Page 1 of 8 Name ______________________________ There are several formulas from geometry that allow us to calculate areas of certain plane regions. We will develop...

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...

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...

a Let Us Try! '\\ Hello! I hope you are having a good day. Before proceeding to Lesson 1, try to read and answer the activity below rst. Let us try rst your understanding of the concept. Get 1/2...

answer the questions and show work 1. The front view of a doghouse is made up of a square with an isosceles triangle on top. The doghouse is 1.35 m high and 0.9 m wide, and sits on a square base....

answer the questions and show your steps 1. The front view of a doghouse is made up of a square with an isosceles triangle on top. The doghouse is 1.35 m high and 0.9 m wide, and sits on a square...

Based on Code of conduct Identify ethical principle violated for each question: A) Sally, on accounts payable clerk, must have her manager sign off on all checks over 10,000. Her manager is out of...

Design synchronous counter circuit using JK Flip Flop to produce the following counting sequence. 2 5 1 3 Your answer must include the following: a) Excitation Table b) Karnaugh Map for J and K c)...

Which one of the following sets of products is most likely to be produced using a continuous flow manufacturing process? Custom cabinets, printed T - shirts, and wedding cakes Furniture, baked goods,...

The budget unit sales of Weller Company for the upcoming fiscal year are provided below: The companys variable selling and administrated expense per unit is $2.50. Fixed selling and administrative...

Dorothy Koehl recently leased space in the Southside Mall and opened a new business, Koehl's Doll Shop. Business has been good, but Koehl has frequently run out of cash. This has necessitated late...

Use the data given in P14-6 for Prince Company. Required: 1. Present component percentages for 2012 only. 2. Respond to the following for 2012: a. What was the average percentage markup on sales? b....

A certain area of the eastern United States is, on average, hit by 6 hurricanes a year. Find the probability that for a given year that area will be hit by (a) Fewer than 4 hurricanes; (b) Anywhere...

During a manufacturing process 15 units are randomly selected each day from the production line to check the percent defective. From historical information it is known that the probability of a...

Comput Milemen in Propum \ table [ [ , r n 1 , Cons ] , [ Wertingracew 1 / 1 / 2 7 , 4 , , ( 3 ) , sustec, ] , [ Derectmarrale med,,,Dis,MUSW, ] , [ Derectiteve , , ABDE,,m , ] , [ Herractionatival...

In Problems 1724, use the graph of the function g shown to estimate the indicated limits and function values. g(2.5) 2 g(x) 4 2 2 Figure for 17-24 X

In Problems 1520, use the description of the region R to evaluate the indicated integral. 1/2 2xy dA; R R = {(x, y) |0 y 9 - x, -3 x 3}

In Problem find the matrix products. Note that each product can be found mentally, without the use of a calculator or pencil-and-paper calculations. 0][2 -31 0] 1 (A) -3 (B) 4 5. 5] 1

Gus (age 84) and Belle (age 18) are married in early 2016. Late in 2016, Belle confronts Gus about his failure to transfer to her the considerable amount of property he previously promised. Gus...

In 2002, Gordon purchased real estate for $900,000 and listed title to the property as "Gordon and Fawn, joint tenants with right of survivorship." Gordon predeceases Fawn in 2016 when the real...

Referring to the revenue arrangement in BE18.6, determine the transaction price for the contract, assuming (a) Nair is only able to estimate whether the building can be completed by August 1, 2020,...