If you don't know LaTeX, at least use some spaces to make what you have written more readable.zacman2400 said:Homework Statement
find the arc length
x=2e^t, y=e^-t, z=2t
Homework Equations
The Attempt at a Solution
Don't you meanzacman2400 said:dr/dt=2e^ti-e^-tj+2
Are you sure about the middle term in the radical above?zacman2400 said:ds/dt=sqrt((4e^2t)+(e^-2t)+4)) dt
Shouldn't your integrand be ds/dt * dt?zacman2400 said:=integral from 0 to 1 sqrt(4e^4t+4e^2t+1)/e^t
zacman2400 said:sorry about the lack of latex, I have no idea how to integrate this function
A "Frustating arc length problem" is a mathematical problem that involves finding the length of a curved line, also known as an arc, on a graph. These types of problems can be challenging because they require a combination of geometry and calculus to solve.
Arc length problems can be frustrating because they often involve complex equations and require multiple steps to solve. Additionally, these problems can be time-consuming and may require the use of advanced mathematical concepts.
The formula for finding arc length is L = rθ, where L represents the arc length, r represents the radius of the circle, and θ represents the central angle in radians.
Some tips for solving arc length problems include breaking the problem down into smaller, more manageable steps, carefully labeling all given values and variables, and utilizing trigonometric functions and calculus techniques when necessary.
You can check your solution for an arc length problem by plugging your answer back into the original equation and ensuring that it satisfies all given conditions. Additionally, you can use a graphing calculator to graph the equation and visually confirm the accuracy of your solution.