Question: ( 2 points ) Find the unit tangent vector vec ( T ) ( t ) for the smooth curve represented by the position function

(2 points) Find the unit tangent vector vec(T)(t) for the smooth curve represented by the position function vec(r)(t)=4t2vec(i)+3t2vec(j)+3tvec(k) whenever t=1.
( 2 points ) Find the unit tangent vector vec ( T

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:

Question list K Let u(t) = 5t'i+ (12 -8) j-6k and v(t) = eli+7 e "j- ek. Compute the derivative of the following function. u(t) . v(t) Question 6 Select the correct choice below and fill in the...

Q:

4. [0/0.273 Points] DETAILS PREVIOUS ANSWERS LARCALC11 12.4.010. Find the unit tangent vector T(t). r(t) = ti + ti +4k, P(9, 3, 4) T(3) = 2ti + j X Find a set of parametric equations for the line...

Q:

pls let me know 1. [-/1 Points] DETAILS LARCALC11 12.4.007. MY NOTE Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 4ti - In(t)j, t = e T(e) = Need Help?...

Q:

(1) For the curve r(t) = e costi + e sintj + tk find the unit tangent vector T(t) and parametric equation of the line tangent to the curve at the point P(1, 0, 0). (2) Find T(t), N(t), aT and an for...

Q:

helppppppppp 1.If a particle with mass m moves with position vector r(t), then its angular momentum is defined as and its torque as L(t) = mr(t) x v(t) and its torque as t(t) = mr(t) x a(t). Show...

Q:

1. Consider the curve defined by r (t) = ti+5j - 8tk. (a) Find a unit tangent vector for r (t) at the point where t = 3 (b) Find an equation of the line tangent to this curve at the point where t =...

Q:

1) Let In be the line through the points (1, 0, -1) and (-1, 1, 0), and let L2 be the line through the points (3, 1, -1) and (4, 5, -2). Show that I and Ly are skew, and then find the distance...

Q:

1) Find an equation of the plane that passes through the point (8, 5, 1) and is parallel to the yz -plane. 2) Find a set of parametric equations of the line that passes through the point (1, 4, 5)...

Q:

1) Find an equation of the plane that passes through the point (8, 5, 1) and is parallel to the yz-plane. 2) Find a set of parametric equations of the line that passes through the point (1, 4, 5) and...

Q:

1. (12 points) Given the vector function at) = (35in 2!, 300521, 3!) a. Find the unit tangent vector t) ilk b. Find the arc length of the curve on the given intervai r(t)=(35in2t, 3c052t, 3t), 03:57

Q:

Let A = the set of respondents who believe in astrol- ogy, R = the set of respondents who believe in rein- carnation, Y = the set of respondents who believe in the spirituality of yoga. The survey...

Q:

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. A graph with a...

Q:

The Net Present Value Method Part 7 Cash 11% Present Years Flows Factor Value Investment in equipment Now $ (160,000) 1.000 $ (160,000) Working capital needed Now (100,000) 200 (100,000) Annual net...

Q:

Generate a project risk matrix for the Bike-sharing kiosks project and discuss the importance of defining the project risks. The WBS should contain the task, dependencies, the resources that are...