## Question

###### How do you convert #(x + 1)^2 + (y + 1)^2 =4# into polar form?

How do you convert #(x + 1)^2 + (y + 1)^2 =4# into polar form?

## Answers

Substitute

#x = r cos theta# and#y = r sin theta# into the equation to get:

#(r cos theta + 1)^2 + (r sin theta + 1)^2 = 4# Hence:

#r^2 + 2(cos theta + sin theta)r - 2 = 0# ## Explanation:

Substitute

#x = r cos theta# and#y = r sin theta# into the equation to get:

#(r cos theta + 1)^2 + (r sin theta + 1)^2 = 4# This can be reformulated as follows:

#4 = (r cos theta + 1)^2 + (r sin theta + 1)^2#

#= r^2 cos^2 theta + 2r cos theta + 1 + r^2 sin^2 theta + 2r sin theta + 1#

#= r^2 (cos^2 theta + sin^2 theta) + 2r (cos theta + sin theta) + 2#

#= r^2 + 2r (cos theta + sin theta) + 2# Subtract

#4# from both ends to get:

#r^2 + 2(cos theta + sin theta)r - 2 = 0#

#### Similar Solved Questions

2 answers

##### Hi, I was just curious if anyone remembers how to turn a repeating fraction into a decimal

Hi, I was just curious if anyone remembers how to turn a repeating fraction into a decimal?...

1 answers

##### 1 Price + + + + + Dores Suppl + + + + + + +...

1 Price + + + + + Dores Suppl + + + + + + + Wozle price + + + Domes Demar + + + + + + + + + + + + 40 80 120 160 200 240 280 320 360 400 440 430 520 560 600 fer to Figure 9-5. With trade, total surplus is a. $3,240. b. S6,480. c. $7,760. d. $15,520....

1 answers

##### Your Pizza is a small pizzeria at Tuskegee, AL. In the table following, the difference in...

Your Pizza is a small pizzeria at Tuskegee, AL. In the table following, the difference in cost structure is summarized. Note that both plants are assumed to have the same labor costs of $400 per week, the same fixed cost of $1,000 per oven per week, and the same opportunity cost of $500 per week. No...

1 answers

##### A.) Journalize the transactions. b.) Post to Allowance for Doubtful Accounts, Income Summary, and Bad Debts...

a.) Journalize the transactions. b.) Post to Allowance for Doubtful Accounts, Income Summary, and Bad Debts Expense accounts as needed. c.)Prepare a current assets section of the balance sheet. Ending balances needed as follows: Cash, $13,500; Accounts Receivable, $165,000; Office Supplies, $2,100; ...

1 answers

##### Lacob Sports Medicine, Inc., offers two types of physical exams for students: the basic physical and...

Lacob Sports Medicine, Inc., offers two types of physical exams for students: the basic physical and the extended physical. The charge for the basic physical is $85, while the charge for the extended physical is $160. Lacob expects to perform 225 basic physicals and 165 extended...

1 answers

##### Discuss the impact of unemployment on a society and the individuals that are unemployed. Include in...

Discuss the impact of unemployment on a society and the individuals that are unemployed. Include in your discussion descriptions of the various types of unemployment. Finally, provide your solutions to lower unemployment....

1 answers

##### Walsh Company manufactures and sells one product. The following information pertains to each of the company's...

Walsh Company manufactures and sells one product. The following information pertains to each of the company's first two years of operations: 29 15 Variable costs per unit: Manufacturing: Direct materials Direct labor Variable manufacturing overhead Variable selling and administrative Fixed costs...

1 answers

##### Can someone please answer the questions now 53. The movement of the leg in the picture...

can someone please answer the questions now 53. The movement of the leg in the picture below is referred to as A. adduction. B. abduction C. extension. D. flexion. 54. While assessing a client's wrist and hand, a nurse asks him to turn his hand palm upward and then to turn his hand palm downw...

1 answers

##### 43 a. Write the equations in canonical form for the node volta b. Solve the canonical...

43 a. Write the equations in canonical form for the node volta b. Solve the canonical equation and find all the other indicated quantities. (polar form) +1 d. Determine the power dissipated in the 8-Q resistor, 7-Ω resistor, and the 2-Ω resistor P2-a...

1 answers

##### Which of the following is the most stable enol form of 1,3-cyclohexanedione?

Which of the following is the most stable enol form of 1,3-cyclohexanedione?...

1 answers

##### Find both a basis for the row space and a basis for the column space of...

Find both a basis for the row space and a basis for the column space of the given matrix A. 1 5 3 1 2 15 25 26 A basis for the row space is...

1 answers

##### You are a manager in a perfectly competitive market. The price in your market is $35....

You are a manager in a perfectly competitive market. The price in your market is $35. Your total cost curve is C(Q) = 10 + 2Q + .5Q2 and MC = 2 + Q. a. What level of output should you produce in the short run? b. What price should you charge in the short run? c. Will you make any profits in the shor...

1 answers

##### Lobster Liquidators will make $ 510 comma 000$510,000 if the fishing season weather is good, $...

Lobster Liquidators will make $ 510 comma 000$510,000 if the fishing season weather is good, $ 220 comma 000$220,000 if the weather is fair, and would actually lose $ 50 comma 000$50,000 if the weather is poor during the season. If the weather service gives a 4040% probability o...

1 answers

##### The angle of elevation from a point on the ground to the top of a pyramid...

The angle of elevation from a point on the ground to the top of a pyramid is 20 20 The angle of elevation from a point 198 feet farther back to the top of the pyramid is 12°30'. Find the height of the pyramid. 1203020020 ft What is the height of the pyramid? (Round to the nearest integer.)...

1 answers

##### [NMIDPDIACJ] Will Ferrell's water rocket of mass 5.85 x 102 g accelerates vertically upward at 26.0...

[NMIDPDIACJ] Will Ferrell's water rocket of mass 5.85 x 102 g accelerates vertically upward at 26.0 m/s2 during launch, overcoming both gravity and air resistance. (a) Draw a free-body diagram of the rocket during launch once it has departed from the launch pad. (b) Calculate the thrust force ap...

1 answers

##### Hi could you please show me how to do this? Thank you :) 7.6 points Use...

Hi could you please show me how to do this? Thank you :) 7.6 points Use the method of Lagrange multipliers to find the minimum value of f(x,y) = x2 + y2 on the line 2 + y = 12....

1 answers

##### QUESTION 3 10 points Save Two blocks of masses mi -2 kg and m2 1.91 kg...

QUESTION 3 10 points Save Two blocks of masses mi -2 kg and m2 1.91 kg are connected by a string. One block (m1) slides on a table and the other (m2) hangs from the string, which passes over a pulley. The coefficient of kinetic friction is o.20. What is acceleration of the blocks?...

1 answers

##### Help please ASAP II. Complete the Table-Qual angles s Evaluate the trigonometrie function of the qudrontal...

Help please ASAP II. Complete the Table-Qual angles s Evaluate the trigonometrie function of the qudrontal angle, possible. Please circle your answer, Given csc (3m/2) sec (0) s sectn)s csc (n/2) s csc (0) s cot (n) a cot(3m/2) s...