Question: Find the points on the given curve where the tangent line is horizontal or vertical. 61. r= 3 cos 0 63. r-1+ cos 0 62.

Find the points on the given curve where the tangent line is horizontal or vertical.

61. r= 3 cos 0 63. r-1+ cos 0 62. r= cos 0 + sin 0 64. r= 65. 66. r - sin 20 r= cos 20

Step by Step Solution

★★★★★

3.48 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

61 r 3 cos x r cose 3 cos 0 cos y r sin 0 3 cos 0 sin dyde3 sin 03 cos 0 3 cos 20 0 20 or 0or 3 So the tangent is horizontal at 3 and 32 same a as 20 ... 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)

M-C-P-E (79).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work. x = t3 - 3t, y = t2 - 3

Find the points on the curve y = (cos x) / (2 + sin x) at which the tangent is horizontal.

Find the points on the curve y = 2x3 + 3x2 - 12x + 1 where the tangent is horizontal.

51-54 Find the points on the given curve where the tangent line is horizontal or vertical. 51. r3 cos 52. r = e 53. r1+ cos 0 54. r2=sin 20

1. (Section 2.2, Problem 46) 2. (Section 2.2, Problem 64) 3. (Section 2.3, Problem 4) 4. (Section 2.3, Problem 10) 5. (Section 2.3, Problem 12) 6. (Section 2.3, Problem 18) 7. (Section 2.3, Problem...

2.5 EXERCISES 1-6 . Write the composite function in the form f(g(x)). 15. y = x sec kx 16. y = 3 cot ne [Identify the inner function u = g(x) and the outer function y = f(u).] Then find the...

buckley (jdb4687) - HW06 - beshaj - (54110) This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001 1. y =...

8. [-/0.12 Points] DETAILS SCALCET9 10.2.AE.003. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Example Video Example .() Find the area under one arch of the cycloid x = r(0 - sin(0)) y = r(1 -...

6 | Consumer Choices Figure 6.1 Investment Choices Higher education is generally viewed as a good investment, if one can afford it, regardless of the state of the economy. (Credit: modification of...

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...

Why is it necessary to understand, and in fact accept, some degree of risk, when making investment decisions? (b) Compare the risk-versus-benefit trade-off from various investment options (minimum of...

3. National income from manufacturing industries is to be estimated for 1989 from a sample of 6 of the 19 industry categories that reported figures early for that year. Incomes from all 19 industries...

2 4 Multiple Choice 3 points Which of the following does not affect stockholders' assets? Paying wages to employees Receiving an investment of cash from an owner Selling goods to customers with...

A particle of mass m constrained to move in one dimension is confined within 0 Obtain an expression for the density of states (that is, the number of states per unit energy interval) for high...

The mechanism shown in Fig. 10.53 is used to raise a crate of supplies from a ship's hold. The crate has total mass 50 kg. A rope is wrapped I' around a wooden cylinder that turns on a metal axle....

A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 700 kPa. Air enters the compressor at 30C at a rate of 12.6 kg/s and leaves at 260C. A diesel...

This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the...

Determining Portfolio Weights What are the portfolio weights for a portfolio that has 100 shares of Stock A that sell for $40 per share and 130 shares of Stock B that sell for $22 per share?

Explain why converging economies may present a strong argument for limiting flows of capital but not for limiting trade.

The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. P=$1000,r=7.5%,t=3 months The loan's future value is...

SQL ASSIGNMENT Activity 1 : Create a table STUDENT with under mentioned structure by using SQL Statement: StdID Number Primary Key StdName Character ( 3 0 ) NOT NULL Sex Character ( 6 ) Male or...

One million dollars is invested for 20 years at a nominal annual rate of 10%. Find the amount if interest is compounded: (a) monthly; (b) continuously. O (a) $7,329,074 (b) $7,388,056 O(a) $7,323,074...