Show that the osculating plane at every point on the curve r(t) = (t + 2, 1
Question:
Show that the osculating plane at every point on the curve r(t) = (t + 2, 1 - t, 1/2 t2) is the same plane. What can you conclude about the curve?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
rt t 21t t rt 11t Tt r t r t 275 11t T t 2 2t 1 1 t 21 001 2 t t11 ...View the full answer
Answered By
Poonam Chaudhary
I have 15 month+ Teaching Experience
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Is there a point on the curve in Exercise 53 where the osculating plane is parallel to the plane x + y + z = 1?
-
Find an equation of the osculating plane of the curve x = sin 2t, y = t, z = cos 2t at the point (0, , 1).
-
(a) Use Exercise 81 to show that the angle between the tangent line and the radial line is = /4 at every point on the curve r = e6. (b) Illustrate part (a) by graphing the curve and the tangent lines...
-
50 successes in 200 trials when p = 0.2. For the binomial experiments find the normal approximation for the probability of
-
Using the data in Problem 20, find the trend projection with regression model using the Time Series Forecasting Solver of OM Explorer. Compare the performance of this method with the exponential...
-
Refer to Exercise 77. Explain why it is not appropriate to perform a paired t test about the true mean difference (Outbound Return) in flight times between Dubai and Doha. See Exercise 94 for an...
-
Plaintiff purchased stain and paint from defendant that, upon application, presented significant issues: discoloration and cracking. These issues became apparent 30 days after receipt of the...
-
(Multiple-Choice) 1. Which of the following is a characteristic of a corporation? a. No income tax b. Mutual agency c. Limited liability of stockholders d. Both a and b 2. Home Team, Inc., issues...
-
Briefly list the major administration tasks you can handle to manage a database in cloud. . QUESTION 12 List the major components of email system. QUESTION 13 In a job interview, you are...
-
1. Suppose you wanted to predict Winnings ($) using only the number of poles won (Poles), the number of wins (Wins), the number of top five finishes (Top 5), or the number of top ten finishes (Top...
-
Find equations of the normal and osculating planes of the curve of intersection of the parabolic cylinders x = y 2 and z = x 2 at the point (1, 1, 1).
-
Show that at every point on the curve r(t) = (e t cos t, e t sin t, e t ) the angle between the unit tangent vector and the z-axis is the same. Then show that the same result holds true for the unit...
-
One mole of an ideal gas with C P = (5/2)R and C V = (3/2)R expands from P 1 = 6 bar and T 1 = 800 K to P 2 = 1 bar by each of the following paths: (a) Constant volume (b) Constant temperature (c)...
-
A speed boat can travel 5.3 m/s in still water. The operator of the boat wishes to cross the Hudson River at Chelsea Park on the East side to get directly across on the West bank. If the current in...
-
E-portfolios are considered the authentic work-products of students and well-suited for self-assessment and peer-review (as a means of improving student learning). Why is this so, in your opinion?...
-
A student walks 45 m south, turns, and walks 67 m 23 0 W of N. What is the total displacement of the student?
-
You have a neutral conductor A and wish to give it a negative charge. You have with you a positively charged conductor (P) and nearby is a large metal filing cabinet. What approach would work to give...
-
Today, you borrow a sum of 10 000 euros. You will repay as follows 3,000 in 6 months 4 000 euros in 2 years ' 2,000 in 2 years and 3 months The balance in 3 years Knowing that the annual effective...
-
Comparative financial statement data of Hollingsworth, Inc., follow: 1. Market price of Hollingsworth's common stock: $50.60 at December 31, 2017, and $33.49 at December 31, 2016 2. Common shares...
-
In Exercises 105108, evaluate each expression without using a calculator. log(ln e)
-
Find the most general antiderivative of the function. (Check your answer by differentiation.) h(z) = 3z 0.8 + z 2. 5
-
Find the limit. Use lHospitals Rule where appropriate. If there is a more elementary method, consider using it. If lHospitals Rule doesnt apply, explain why. x lim x 4 x - 4 - 2
-
Find the intervals on which f is increasing or decreasing, and find the local maximum and minimum values of f . f(x) = 6x 4 16x 3 + 1
-
What is a functional group? Why is it important to recognize functional groups in organic chemistry? 2. Draw the structure of octane. 3. Name this compound. 4. When are hyphens and commas used in...
-
list 3 concepts in any subject area (ELA, Math, Science, Social Studies, etc.) that can be illustrated into a simple cartoon for students to explore, expand, or solve. Describe how the cartoon would...
-
Post should be at least 300350 words in length and should extend the discussion of the group supported by your course materials and/or other appropriate resource The goal of classroom behavior...
Study smarter with the SolutionInn App