Question

Let c be the path given by c(t) = (2t, t^2, ln(t)) for t > 0....

Let c be the path given by c(t) = (2t, t^2, ln(t)) for t > 0. Set up the integral that yields the arclength of c between the points (2, 1, 0) and (4, 4, log2). I know how to set up the inner part of the integral but I dont know how to find the bounds for the integral. If you want to skip the part where you set up the integral and just show me how to find the bounds thats fine, whatever is easier for you. Thank you.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For t ≥ 0, let (cosht,sinht) be the point sitting on the curve xˆ2−yˆ2 = 1...
For t ≥ 0, let (cosht,sinht) be the point sitting on the curve xˆ2−yˆ2 = 1 in the first quadrant. Let L be the line connecting the origin to this point. (a) Find the equation of the line L. (b) Set up an integral A(t) that computes the area of the region in the first quadrant bounded by the line L,the curve xˆ2−yˆ2 =1,and the line y=0. (c) Simplify A(t) as much as possible. Hint: There should be one term...
A space curve C is parametrically parametrically defined by x(t)=e^t^(2) −10, y(t)=2t^(3/2) +10, z(t)=−π, t∈[0,+∞). (a)...
A space curve C is parametrically parametrically defined by x(t)=e^t^(2) −10, y(t)=2t^(3/2) +10, z(t)=−π, t∈[0,+∞). (a) What is the vector representation r⃗(t) for C ? (b) Is C a smooth curve? Justify your answer. (c) Find a unit tangent vector to C . (d) Let the vector-valued function v⃗ be defined by v⃗(t)=dr⃗(t)/dt Evaluate the following indefinite integral ∫(v⃗(t)×i^)dt. (cross product)
Let C be the curve parametrized by r(t)=(t2+2)i+(1+t)j+2t^2k, with 0≤t≤. Consider the conservative vector field F=yz2i+xz2j+2xyzk,...
Let C be the curve parametrized by r(t)=(t2+2)i+(1+t)j+2t^2k, with 0≤t≤. Consider the conservative vector field F=yz2i+xz2j+2xyzk, Calculate ∫CF⋅dr
Let C be the plane curve determined by the function r(t)=(3-t^2)i+(2t)j where -2<=t<=2. -Find T(t), T'(t),...
Let C be the plane curve determined by the function r(t)=(3-t^2)i+(2t)j where -2<=t<=2. -Find T(t), T'(t), the magnitude of T'(t), and N(t). Please show work, Thank you!
x=2−t, y=2t+1; −1≤t≤1 (a) Sketch the parametrized curve using any method, but you must explain your...
x=2−t, y=2t+1; −1≤t≤1 (a) Sketch the parametrized curve using any method, but you must explain your thinking in clear sentences, or show mathematical work. Pay attention to the given domain. (b) Choose one of (i) or (ii) below – only one will be graded. i. Set up and solve an integral for the arc length of this curve OR ii. Calculate the equation of the tangent line to this curve at some point (tell the reader which point you chose!)...
9. Let t correspond to the number of months after January 15 with 0 ≤ t...
9. Let t correspond to the number of months after January 15 with 0 ≤ t ≤ 12. A mathematical model for the variation of the expected temperature during the year is given by T(t) = 20 − 2t(t − 12) in degrees Fahrenheit. What is the expected average temperature for the whole year in degrees Fahrenheit? (a) 70°F (b) 66°F (c) 68°F (d) 72°F (e) None of the above. 10. Carbon 14 (C-14), a radioactive isotope of carbon, has...
2. There is a famous problem in computation called Subset Sum: Given a set S of...
2. There is a famous problem in computation called Subset Sum: Given a set S of n integers S = {a1, a2, a3, · · · , an} and a target value T, is it possible to find a subset of S that adds up to T? Consider the following example: S = {−17, −11, 22, 59} and the target is T = 65. (a) What are all the possible subsets I can make with S = {−17, −11, 22,...
Consider an infinite-horizon groundwater management problem where xt is the stock of groundwater at time t,...
Consider an infinite-horizon groundwater management problem where xt is the stock of groundwater at time t, yt is the quantity of groundwater extracted at time t, g(yt) gives the amount of total recharge to the aquifer, B(yt) is the benefit of extracting yt, and C(xt, yt) 2 is the cost of extracting yt from a stock of size xt. Suppose that there are property rights to groundwater, but a large number of users. Groundwater used in agriculture is unregulated. Suppose...
T F 1. A p-value of .008 in hypothesis testing means there is only a .8%...
T F 1. A p-value of .008 in hypothesis testing means there is only a .8% chance we could get such sample statistics from the population if the null hypothesis is as stated. Such an event is considered unlikely and we would reject the null hypothesis. T F 2. As a general rule in hypothesis testing, it is always safer to set up your alternate hypothesis with a greater-than or less-than orientation. _____3. If the level of significance is .02...
I did already posted this question before, I did get the answer but i am not...
I did already posted this question before, I did get the answer but i am not satisfied with the answer i did the code as a solution not the description as my solution, so i am reposting this question again. Please send me the code as my solution not the description In this project, build a simple Unix shell. The shell is the heart of the command-line interface, and thus is central to the Unix/C programming environment. Mastering use of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT