35 and 41 please!!! For the following exercises, parameterize (write parametric equations for) each Cartesian equation...
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...
Write the parametric equations x=2siny=4cos0 in the given Cartesian form. y^2/16= with x0. Write the parametric equations x=2sin2y=5cos2 in the given Catesian form. y= with 0x2. Write the parametric equations x=4ety=8e−t as a function of x in Cartesian form. y= with x0. Write the parametric equations x = 2 sin 0, y = 4 cos 0, 0<O< in the given Cartesian form. = with x > 0. 16 Write the parametric equations x = 2 sin’e, y = 5 cos?...
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...
These are together, please show work and I will rate 13.) Parameterize the line segment from P(2, 1) to Q(6, 7)) so that t=0 corresponds to P and t=1 corresponds to Q. 14.) Parameterize y = x², with 0 <x<3 so that the motion starts at (3,9) and ends at (0,0) 15.) Find the parametric equations of the circle of radius 2 with center at the origin so that the motion starts at (0,2) and goes clockwise once on the...
Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 2 sin t, y = 5 cost, osts 21 3+ 2+ 1+ -3 4
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
In Exercises 21-22, give the equation of the line that is the intersection of the given planes. 21. p1: 3(x-2) +(y 1)+4z 0, and p2: 2(x-1)-2(y+3) +6(2-1) 0 In Exercises 23-26, find the point of intersection between the line and the plane. 26. line: (1,2, 3) +t (3, 5,-1), plane: 3x-2y- z=-4 In Exercises 27-30, find the given distances. 27. The distance from the point (1, 2,3) to the plane 3(x-1)+(y 2)+5(2-2) 0. In Exercises 21-22, give the equation of...
The equation below gives parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 6-3, y = 362; - <t< Find a Cartesian equation for the particle's path. y=0 Graph the Cartesian equation below. Indicate the direction of motion as t increases. Choose the...
7. Use the given information about the parametric equations x-ft) and y-g(t) to graph the Cartesian (rectangular) x-y relation. ft) is the absolute value of a linear function, and three points on the graph of this function are: H0, x=1; t-1, x 0; and t=2, x=1 g(t) is a linear function, and two points on the graph of y-g(t) aret-0, y=1; and t-1. y-0.
(1 point) Write the parametric equations x = 51 -1, y = 3 - 2 in the given Cartesian form. Preview My Answers Submit Answers