1. Sketch the graph of the parametric curve and eliminate the parameter, giving any limits on...
4. Eliminate the parameter for the given set of parametric equations then sketch the graph of the parametric curve using rectangular coordinates. x=3 sin t and y=-4cost on the interval Osts 2tt.
Sketch the curve represented by the parametric equations (indicate the orientation of the curve) and B) eliminate the parameter and write the resulting rectangular equation whose graph represents the curve. Adjust the domain of the rectangular equation, if necessary. x = t + 4 and y = t2
(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically.) (c) Use the numerical integration capability of a graphing utility to approximate the value of this integral. Round your result to the nearest tenth. (Be careful with your notation, show orientation arrows on your...
Let the curve C in the (x, y)-plane be given by the parametric equations x = e + 2, y = e2-1, tER. (a) Show that the point (3,0) belongs to the curve C. To which value of the parameter t does the point (3,0) correspond? (b) Find an expression for dy (dy/dt) without eliminating the parameter t, i.e., using de = (da/dt) (c) Using your result from part (b), find the value of at the point (3,0). (d) From...
6. (a) Use a graphing utility to graph the curve represented by the following parametric x=езі, over the interval-2sts2.(b) Write an integral that represents tions: the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically) (e) Use the numerical integration capability of a the value of this integral. Round your result to the nearest tenth (Be careful with your notation, show orientation arrous on your curve, and show your steps clearly.) utility...
Consider the parametric curve given by x(t) = 16 sin3(t), y(t) = 13 cos(t) − 5 cos(2t) − 2 cos(3t) − cos(4t), where t denotes an angle between 0 and 2π. (a) Sketch a graph of this parametric curve. (b) Write an integral representing the arc length of this curve. (c) Using Riemann sums and n = 8, estimate the arc length of this curve. (d) Write an expression for the exact area of the region enclosed by this curve.
Eliminate the parameter to sketch the curve: 2 = sin -0, 1 y = cos -0, 20, - <O<a
For the following exercises, eliminate the parameter t to
rewrite the parametric Quetion as a Cartesian equation
1) NUMBER 19 only please
For the following exercises rewrite the parametric equations
as a Cartesian equation by building an x-y table.
2) NUMBER 27 please
For the following exercises, Parameterize (write parametric
equations for) Each Cartesian equation by setting x(t)=t or by
setting y(t)=t
3) NUMBER 31 and 33
THANK YOU SO MUCH. just those 4 . ill upvote best answer
x...
1.) Given: x=5cost and y=2sint a. Sketch a graph of the parametric curve by eliminating the parameter and Label orientation. Show all work. b. Determine dy/dx and d^2y/d^2x Show work and simplify your answers. Express answers in terms of “t”
Solve C and D part please
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.(Can you name the curve?) (a) r = sin 0, y = cos, - SOST (b) x = 4 sect and y = 3 tant 3 3 (c) r=-1+ z sint and y = cost for -A <t <3 (d) x = cosht and y cosh 3t (no need to sketch...