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T/F: Euclidean geometry does not apply to space near a massive object....

Question

T/F: Euclidean geometry does not apply to space near a massive object.

T/F: Euclidean geometry does not apply to space near a massive object.



Answers

TRUE OR FALSE? In Exercises 79 and 80, determine whether the statement is true or false. Justify your answer.

The surface consisting of all points $(x, y, z)$ in space that are the same distance $r$ from the point $(h, j, k)$ has a circle as its $xy$-trace.

Okay, This question asks us about path, independence for conservative fields and what this is asking. It's a true false question saying, If I have a conservative fields, every line integral from a to B, has the same value regardless of what the path looks like. So all three of these colors, even though the paths or what they different, we'll have the same value for F dot de are when we integrate it. And for a conservative fields, we say that the vector field F is the Grady INTs of some potential function. And if this is the case than the integral over an arbitrary curve c of f dot de are is just the Grady int or sorry, the potential function at the ends minus the potential function at the beginning. And we see that this is independence of our choice of C. So this is path independent and since its path independent, our claim is true for this question.

Hey, they ask us to take raisin before y squared equals one and tell us that represents a surface in space. Well, normally, when you see an equation like this, you think all this is just a two dimensional equation. But this could be a three dimensional equation. It just does not have a Z value in it. Which means Z can be anything we want. If you remember from earlier in this chapter Ah, that this will represent an ellipse. And so we actually would have just in the Z equals zero playing we would have and the lips that would be stretched looks from one of my graph and I just did We would have an ellipse that it stretched longer in the ex direction than it is in the wind direction. But that's just in the Z equals zero playing. We could go to a different Z value plane and we would have the same size of lips just at a different height, and we could go to another Z value and again get another he lips. And so, if we allow a three dimensional possibility here, what we end up with is an elliptical cylinder here in three dimensions. So, yes, it does give a surface Oh, the true statement

The question here is whether the living statement is true or false over the line in those face, as defined that venture. If I I mean what's decided or anything. What? Any light? Yes. Is once said so. Yes, dating by the S zero. So in fort. And this is the question. Thank you.

The question. We have prepared statement in school falls. If sees, the could see is the in space. Mostly we'll see activity point as radius reachable. See moving towards this. That ideas? Yes. Oh, wait. So the more they state fun And this is the final set. Particulate question. Thank you.


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