Question: Let r(t) = (cos t, sin t, ln(cos t)). (a) Find T,N, and B at (1, 0, 0). (b) Find the equation of the osculating

Let r(t) = (cos t, sin t, ln(cos t)).
(a) Find T,N, and B at (1, 0, 0).
(b) Find the equation of the osculating plane at (1, 0, 0).

Step by Step Solution

★★★★★

3.39 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Differentiating gives rt sint cost sinf sint cost tant so that COS Now ... View full answer

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 Calculus 4th Questions!

Q:

Complete the function compute using pthreads v1() to parallelize the SAXPY loop using the "chunking" method. That is, given vectors x and y of some arbitrary length n, and when k threads are used,...

Q:

You will use a CAS to explore the osculating circle at a point P on a plane curve where 0. Use a CAS to perform the following steps: a. Plot the plane curve given in parametric or function form...

Q:

You will use a CAS to explore the osculating circle at a point P on a plane curve where 0. Use a CAS to perform the following steps: a. Plot the plane curve given in parametric or function form...

Q:

776 CHAPTER 14 CALCULUS OF VECTOR-VALUED FUNCTIONS 46. Method for Computing N Let v(t) = Ir'(t)II. Show that v(t) r" (t) - v'(t) r (t) N (1 ) = 12 Iv(t)1" (t) - v'(t)r(t)ll Hint: N is the unit vector...

Q:

Name: ________________________ Class: ___________________ Date: __________ Final Exam for Math 193 1. a) Evaluate the integral. 20xe 5x dx b) Evaluate the integral. 81 t ln tdx 1 c) Evaluate the...

Q:

scrimmage 3 DE ANZA COLLEGE NAME MATH 43 03/20/17 E. Njinimbam YOU MUST SHOW YOUR WORK CLEARLY AND LOGICALLY FOR CREDIT. 1.) For the conic section with equation r = 3 . 4 + 5sin a.) Find the...

Q:

9. Give the radian measure of 0 if: a. r = 5 and s = 6 simplify 19. cos' y + cosy sin b. r = 8 and s = 6 simplify 15. (sin x + cos x) + (sin x - cos x)2 simplify 3. a. 1 + cot A b. (CSC A - 1)(cSC A...

Q:

Round to the appropriate decimal place: If the problem asks for a specific decimal place, round your answer accordingly. Label your answer: Make sure you label your answer with the appropriate unit...

Q:

please help, i only have 1 question left and ill leave a great review!!!? 1. Reduce the following expression to a single function of one angle: cos(45 + A) + cos(45 - A). A. -2 sinA B. V2 sin A C....

Q:

1 MATHEMATICS Find the centre and radius of the circle formed by all the points represented by z x iy satisfyin k k 1 where a and are constant complex numbers given b the relation z BI a a B B iB 2...

Q:

Calculating Annuities Due As discussed in the text, an ordinary annuity assumes equal payments at the end of each period over the life of the annuity. An annuity due is the same thing except the...

Q:

What are the five major categories of pricing strategies? Give at least two examples of specific strategies that fall into each category.

Q:

A convertible bond has a par value of $ 1 , 0 0 0 bat its current market price is $ 1 , 0 6 0 . The current price of the issuing company's stock is $ 4 2 per share and the conversion ratio is 2 5...

Q:

What are the instructional objectives that need to be incorporated into the training program? (Instructional objectives are basically what the employee will know or be able to do upon completing the...

Q:

True or False. The matrix is in row echelon form. 3 1 -2 1

Q:

The notation refers to the entry in the __________ row and column_________of a matrix.

Q:

Write the augmented matrix of the given system of equations. 5 %3D 5 4 + 3D 6

Q:

Q4 4. Define activation records. Explain how it is related with runtime storage allocation. 5. Generate code for the following C program using any code generation algorithm

Q:

Assume that a parent company acquired its subsidiary on January 1, 2011, at a purchase price that was $320,000 in excess of the book value of the subsidiary's Stockholders' Equity on the acquisition...

Q:

Hello, Can you assist with the below? 3. Determining the Average Price Increase. In 1998, selected automobiles had an average cost of $12,000. The average cost of those same motor vehicles 10 years...