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Hint: for (a), if you multiply by r r the conversion to Cartesian coordinates is not hard. Then you need to convert to parametric form. For (b) if you plug in θ = π 2 θ = π 2 you can find the x, y x, y coordinates of the point. Then use the Cartesian equations you got in (a) and take the derivative. For (c) you can use your usual Cartesian ...
1. set 4t + 2 = 2s + 2, 4 t + 2 = 2 s + 2, 3 = 2s + 3, 3 = 2 s + 3, −t + 1 = s + 1 − t + 1 = s + 1 and find both s s and t t and then check that it all worked correctly. – Will Jagy. Jan 31, 2015 at 20:04. Add a comment. 1 Answer. Sorted by: They intersect each other when all their coordinates are the same.
Since there is only 1 parameter, these parametric equations cannot describe a 2-dimensional surface. The ...
76.9k 2 63 118. you are finding the slope of the oblique asymptotes two different ways which one is correct or both correct . oblique asymptote is y = mx + c and how to find the value of c. – user120386. Commented Feb 15, 2015 at 10:40. There is one oblique asymptote at +∞ and another at −∞. You find c as limt→±∞ y − mx.
When I started thinking about that, parametric equations seemed like the obvious way to plot only specific pieces of a function. I set about writing $22$ sets of equations of the form $$\begin{align} x_n&=r_n\cos\theta \\ y_n&=r_n\sin\theta \end{align}$$ as suggested by amWhy's answer to this question.
1. Compute the shortest distance between the following two parametric curves, r1(t)→ r 1 (t) → = −1 + 2t, 4 − t, 2 − 1 + 2 t, 4 − t, 2 . r2(t)→ r 2 (t) → = 3 − 2t, 5 + t, −1 + 3t 3 − 2 t, 5 + t, − 1 + 3 t . I think this can be done by simply minimizing the distance function and solving for t t, but I was wondering if it ...
What is the parametric equation of the Ellipse - equations of X and Y - given the Radiuses, Center, Angle ...
Then one parametric form is $(\frac{12+3s-6t}{4},s,t)$. In the general case of a set of linear equations, it helps thinking of the equations that need parametrization as a system with more variables than equations. The key is to find how many secondary variables are there, and take them as parameters.
Two questions on parametric equations, vectors, and planes. 1. Finding parametric equations from lines. 0.
the parametrization is a line segment. The first two are easy to prove: we have 0 ≤ t ≤ 1, so plug t = 0 into the equations for x and y. You should obtain x =x1 and y =y1, which gives us item #1 on our todo list. Do the same for t = 1, and you'll get item #2. The third requires a bit of algebra, and it must be kept in mind that x1,x2,y1,y2 ...