Question: Find the unit tangent vector T(t) at the point with the given value of the parameter r(t) = < tcos3t, sin3t, cos3t > ; t

Find the unit tangent vector T(t) at the point with the given value of the parameter r(t) =< tcos3t, sin3t, cos3t > ; t = /4

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!

Q:

Consider the following vector equation. r(t) = (+4, + 5) (a) Find r'(t). r'(t) =2. [-/1 Points] DETAILS SCALC9 13.2.010. Find the derivative, r'(t), of the vector function. r(t) = (e-t, 6t - ts,...

Q:

Consider the given vector equation. r(t) = 4 sin(t)i - 3 cos(t)j (a) Find r'(t). XFind the unit tangent vector T(t) at the point with the given value of the parameter r. r(t) = cos(t)i + Stj + 2...

Q:

Let r (t) = Find a parametric equation of the line tangent to r (t) at the point (165, 405, 2.708 x(t) = 165 + 216t y(t) = z (t ) =Let r (t) = ( - 415 + 4, - 2e- , sin( Find the unit tangent vector T...

Q:

MULTIVARIABLE CALCULUS 1. [-/1 Points] DETAILS SCALCET9 13.2.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following vector equation. r (t ) = (+4, + 3 ) (a) Find r'(t). r' (t) = (b)...

Q:

1. [-/0.136 Points] DETAILS LARCALC11 12.4.004. Find the unit tangent vector to the curve at the specified value of the parameter. r(t ) = ti + 8taj, t = 4 T(4) = Need Help? Read It 2. [-/0.136...

Q:

Name: __________________________ Date: _____________ 1. The position vector r t 7t , 4 cos t , 4sin t describes the path of an object moving in space. Find the speed s t of the object. 2. Use the...

Q:

4. [0/0.068 Points] DETAILS PREVIOUS ANSWERS LARCALC11 12.2.014. Find r'(t) r(t) = 4\\ ti + +2\\tj + In( +2 ) k r'(t) = [& ( VT ) 1 2VT X Need Help? Read It Watch It 5. [-/0.068 Points] DETAILS...

Q:

Exercise 2: Read the subsection "Speed on a Smooth Curve" (p. 783). What does Equation (4) here say? State the theorem used to determine this equation. The rest of Chapter 13 continues on this trend...

Q:

If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves...

Q:

Question 2: What does Equation (4) here say? State the theorem used to determine this equation. Hint 1: Read the subsection "Speed on a Smooth Curve" (p. 783). 13.3 Arc Length in Space 783 from to to...

Q:

Bolton Garage Doors Corporation sold merchandise with a price of $22,500 to Sammy's Wholesale Company. Bolton offered terms of 2/10, n/30. Required: Prepare the journal entry to record the sale using...

Q:

Jaspal has a serious heart attack and is taken to the hospital. He is aware that he is not expected to live. Because he is a bachelor with no close relatives nearby, Jaspal gives his car keys to his...

Q:

03.02-PR002 Video Solution CTL (Concrete Testing Lab) borrowed $80,000 for new equipment at 8% per year, compounded quarterly. It is to be paid back over 3 years in equal quarterly payments. For each...

Q:

For January, sales revenue is $600,000; sales commissions are 5% of sales; the sales manager's salary is $96,000; advertising expenses are $80,000; shipping expenses total 2% of sales; and...

Q:

Ethan Corporation accountants have assembled the following data for the year ended June 30, 2010. Prepare the operating activities section of Ethans statement of cash flows for the year ended June...

Q:

Davis Corporation has developed the following flexible budget formula for monthly overhead: For output of less than 200,000 units: S36,600 4. $.80(units) For output of 200,000 units or more: $43,000...

Q:

Smith Clinic, Inc., is preparing its statement of cash flows (indirect method) for the year ended March 31, 2012. Consider the following items in preparing the companys statement of cash flows....

Q:

Three geologic formations overlie one another with the characteristics listed below. A constant velocity vertical flow field exists across the three formations. The hydraulic is 75 ft the top of the...

Q:

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

Q:

Draw an organization chart of an organization with which youre familiar (where you work, a student organization to which you belong, your college or university, etc.). Be very careful in showing the...

Q:

What can managers and organizations do to help employees who work from home be efficient and effective?

Q:

A boundaryless organization has the ability to change how employees may do their work. In addition to security concerns, what other issues do organizations face?