Recent content by Turbodog66

Thanks! Never fails I overlook something simple like that. Other than that, does it appear that I am going about it correctly?

Homework Statement Suppose $$z=x^2 sin(y), x=5t^2-5s^2, y=4st$$ Use the chain rule to find $$\frac{\partial z}{\partial s} \text{ and } \frac{\partial z}{\partial t}$$ Homework Equations $$\frac{\partial z}{\partial s} = \frac{\partial z}{\partial x} \frac{\partial x}{\partial s} +...

Based on the two points listed, I found that t1 = 1 and t2=2. So next I would then substitute in the t values and solve? I attempted that previously, but I did not get the correct answer. $$\text{Length} = \int_{1}^{2} 5 \sqrt{ \displaystyle 4 + 4 (2^2 -1^2) + \frac{1}{2^2-1^2}} \, dt $$

Homework Statement Consider the path r(t) = <10t,5t2,5ln(t) defined for t >0. Find the length of the curve between (10,5,0) and (20,20,5ln(2)) Homework Equations L= ∫ab |r'(t)|dt The Attempt at a Solution r'(t) = <10, 10t, 5/t> t values are 1 and 2 based on the x values for the points...

Thanks, I see what I did wrong on part 3. Part 2 after redoing it again was expecting -0.42307, I rounded too soon it seems

Homework Statement The force on an object is F = -11j. For the vector v =-i-5j, find: 1. The component of F parallel to v 2. The component of F perpendicular to v 3. The work, W, done by force F through displacement v Homework Equations ProjvF = v dot F/ |v|2 OrthvF = F - ProjvF W = D...

Here is the problem in its entirety. I didn't include everything initially because I did not have a problem with the other 3. My intention was to present it as if it was simply a problem with a single equation and provided with 6 possible solutions, knowing that one of them must be correct.

One thing is certain, this problem is more of a test of your visual skills rather than testing your ability to solve an equation.. I have reached out to my TA to see if there is any help they can provide as well. I appreciate the help everyone

I agree, I have worked out the other 3 equations and was able to match 2 of them with a diagram fairly easily. But I still have to figure out which one matches the 1st equation(all 4 equations are supposed to be represented in the diagram). Are you saying you do see one with (2,2,1)? If so...

This is the original problem, directly from my assignment. #1 is the one in question. I will say that I failed to use "^" on the 3 variables to plainly indicate that they are squared, but I treated them as such and completed the squares. Just in case the attachment doesn't work, x^2 - 4x +y^2...

My apologies for the typo, I corrected it in the original post. Ultimately, I have what I believe is the correct values, but I am not seeing a sphere whose center is (2,2,1) with a radius of 1/2. The attachment is the image with the spheres, I'm not sure if it shows up embedded in the first post...

I see that, I have it written down correctly on my notebook, resulting in a r of 1/2. I appreciate your response, at this point I am more concerned with getting the correct values than matching to the correct graph. There are 4 total equations, and if even one of the choices are wrong it marks...

I have been given a problem with 4 equations, that need to be matched up to the corresponding image. I have worked the equations already and determined their center, but for the life of me I cannot seem to figure out which graph goes with which equation. The images are not that easy to read...