Question: What is a differentiable curves unit tangent vector? Give an example.

What is a differentiable curve’s unit tangent vector? Give an example.

Step by Step Solution

★★★★★

3.41 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The unit tangent vector of a differentiable curve represents the direction in which the curve is mov... 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 Precalculus Questions!

Q:

(a) What is an oriented surface? Give an example of a nonorientable surface. (b) Define the surface integral (or flux) of a vector field F over an oriented surface S with unit normal vector n. (c)...

Q:

1. The CFO of Diamonnds for You Corp. decides that the entity needs to recognize a provision of $500,000. The CFO anticipates this payment having to be made a year and a half from now. The current...

Q:

Given a curve C: r(t), find a tangent vector r'(t), a unit tangent vector u'(t), and the tangent of C at P. Sketch curve and tangent. r(t) = [10 cos t, 1, 10 sin t], P: (6, 1, 8)

Q:

Exercise 3. Read the subsection "Flux Across a Simple Closed Plane Curve" (p. 984 - 985). Explain what a simple closed curve is. The basic idea behind flux is that it's measure how much of the vector...

Q:

Exercise 3. Read the subsection "Flux Across a Simple Closed Plane Curve" (p. 984 - 985). Explain what a simple closed curve is. The basic idea behind flux is that it's measure how much of the vector...

Q:

1 1/4 Evaluate the integral (1 + 3 cost) i + (3 sint) j+ (sect) k] at. - 1/4 The result is + j + K. (Type exact answers, using x and radicals as needed.)Solve the initial value problem for r as a...

Q:

question below: A baseball is hit when it is 3 it above the ground. It leaves the bat with initial velocity of 197 ft/ sec at a launch angle of 13. At the instant the ball is hit, an instantaneous...

Q:

Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 2 r(t) = 6ti + -3/2 K Osts 13 The curve's unit tangent vector is Dit Di+ ([) K. (Type exact answers,...

Q:

Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (cost)i+ (sint) k, osts Find the curve's unit tangent vector. T(t) = kFind the curve's unit...

Q:

questions below: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (5cos t)i + (5sin t)j + (3t)k, Ostsx Find the curve's unit tangent vector....

Q:

? Find the dimensions of the largest rectangle that can be inscribed in the right triangle ABC show in the illustration. 0 A (0,9) (x, y) B (12, 0)

Q:

Company A unlevered value is $100 million. The tax rate is 30%. The debt cost ofcapital is 3% and the asset cost of capital is 6%. i. What is company A's value if debt/assets is raised to 25% after...

Q:

The opportunity cost of going to school is highest for someone who a) has to give up a job paying $10 an hour. b) has to give up a job paying $15 an hour. c) loves school. d) has to give up a...

Q:

=+b. What is the probability that not all passengers can be accommodated?

Q:

Find the derivative of the function. y = log 10 x 2 - 1/x

Q:

Find an equation of the tangent line to the graph of the function at the given point. h(x) = -xe 2-x , (2, -2)

Q:

Find the derivative of the function. f (x) = log 2 3 2x + 1

Q:

FASB. The Financial Accounting Standards Board was established because many groups interested in financial reporting believed that the Accounting Principles Board was not effective. Discuss the...

Q:

Mercury Plc had reported on EBIT at $120 million. Depreciation and amortization for the period estimated at $ 190 million and exactly covers the need in fixed assets investments. Net working capital...

Q:

On January 3, 2008, Austin Corp. purchased 25% of the voting common stock of Gainesville Co., paying $2,500,000. Austin decided to use the equity method to account for this investment. At the time of...