Question: If C is a smooth curve given by a vector function rstd, a t b, and v is a constant vector, show that

If C is a smooth curve given by a vector function rstd, a ≤ t ≤ b, and v is a constant vector, show that

Lv dr = v [r(b) r(a)]

Lv dr = v [r(b) r(a)]

Step by Step Solution

★★★★★

3.31 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Given C is a smooth curve given by a vector function rt a t b and v is a constant vector To prove ... 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 Early Transcendentals 9th Questions!

Q:

If C is a smooth curve given by a vector function r(t), a t b, show that dr r Jc

Q:

If C is a smooth curve given by a vector function r(t), a

Q:

If C is a smooth curve given by a vector function r(t), a

Q:

The figure shows level curves of a function f (I, y). (@) Draw gradient vectors at P and Q. Is V f(P) longer than, shorter than, or the same length as V f(Q)? shorter than (b) If C is the line...

Q:

E-Tutorial Physics Book Note: I have attached below the lesson for the two (2) activities. Thank you. Activity 1. Directions: Look at each circuit below and show the solution using Kirchhoff's Rules...

Q:

[-/1 Points] DETAILS LARCALC11 12.4.JIT.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/1 Points] DETAILS LARCALC11 12.4.JIT.006.MI. Find the domain of the vector-valued function. (Enter your...

Q:

Calculus 3 : final answer only, no explanation needed Section 13.2: Problem 8 (1 point) Find the work done by the force field F(I, V, 2) = cityj + 6k on a particle that moves along the helix r(#) = 6...

Q:

4. [-I16.66 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the line integral / F . dr, where C is given by the vector function r(t). c F(x,y,z)=xi+yj+xyk, r(t) = sin(l:) I + cos(t)j + tk, 0 5 ts...

Q:

Exercise 1: Read both the introduction to the section and Example 1 (p. 969 - 971). Explain what the differential ds is substituted with in the computation of the line integral here. The subsection...

Q:

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

Q:

Why is it important for managers to evaluate internal controls?

Q:

Another name for an income statement account is what? Question options: a) Nominal account b) Temporary account c) Real account d) Both nominal and temporary are correct

Q:

Which of those is not a true statement about simple interest notes and simple discount note? - in the simple discount note, interest is deducted in advance, so the proceeds are less then the face...

Q:

4.16 Prove that IDA* returns optimal solutions whenever there is sufficient memory for the longest path with cost

Q:

Suppose and Evaluate the following integrals. a. b. c. d. SS4) dx = 2. fi[(x) dx = -5. Sis(x) dx = 1. 3

Q:

Suppose f(x) 0 on [0, 2], f(x) 0 on [2, 5], Evaluate the following integrals. a. b. c. d. S(x) dx = 6, and Si 5(x) dx = -8. .5 S() dx

Q:

Use the value of the first integral I to evaluate the two given integrals. a. b. 3 4 (x 2x) dx = - I = (4 2r3) dx 2x) dx

Q:

women's roles in the family and in society illustrate a theme of the 1 9 5 0 s

Q:

1. The United States and Japan have similar income and purchasing-power levels, yet, the channel structures between the two countries have significant differences. Discuss those differences in the...

Q:

The following are the prices of zero coupon bonds. Par value is $1,000 in each case. Maturity Price 6 months $998 1 year $995 What is the forward rate (expressed as BEY) for a six month period six...