Question
Asked Jan 27, 2020
1 views

In Exercises 1–4, find the curve’s unit tangent vector. Also, find the length of the indicated portion of the curve.

1. r(t) = (2 cos t)i + (2 sin t)j + 25t k, 0 <=t <= pai

2. r(t) = (6 sin 2t)i + (6 cos 2t)j + 5t k, 0 <=t<=pai

3. r(t) = ti + (2/3)t3/2 k, 0<=t<= 8

4. r(t) = (2 + t)i - (t + 1)j + t k, 0<= t<= 3

check_circle

Expert Answer

Step 1

Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question.

1.)

Find the curves unit tangent vector.

Calculus homework question answer, step 1, image 1
fullscreen
Step 2

Now, take Mod...

Calculus homework question answer, step 2, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: express each vector in the form v = y1i + y2j + y3k. 5u - v if u = &lt;1, 1, -1&gt;and v = &lt;2, 0,...

A: Given vectors

question_answer

Q: generate a parametrization of the line through P(2, -4, 7) parallel to v1 = 2i - j + 3k. Then genera...

A: We know that equation of line through (x1,y1,z1)  and parallel to ai+bj+ck is

question_answer

Q: Find an equation for the plane that passes through the point (-1, 6, 0) perpendicular to the line x ...

A: Direction ratios of line x =-1 + t, y = 6 - 2t, z = 3t are  &lt;1,-2,3&gt; .Sine line is perpendicul...

question_answer

Q: Find the areas of the parallelograms whose vertices are given in Exercises 35–40. 35. A(1, 0), B(0, ...

A: Area of parallelogram ABCD is |AB x AD|  

question_answer

Q: What are quadric surfaces? Give examples of different kinds of ellipsoids, paraboloids, cones, and h...

A: Those equation or graph that can be represented in the below form are called Quadrative Surfaces:

question_answer

Q: Determine if the following radical expression is a real number?. √-25

A: Given the radial expression √-25

question_answer

Q: The curve y = sqrt(x2 + 1), 0&lt;=x&lt;=sqrt(2), which is part of the upper branch of the hyperbola ...

A: Find dy/dx from the given curve using power rule and chain rule.

question_answer

Q: Find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets ...

A: We first have to find  the line through the origin perpendicular to the plane 2x - y - z = 4Directio...

question_answer

Q: dy/dx of pi

A: pi is a constant.It has value 3.14 approx.