we have
now the parametric equation of line passing through point (1, 3) and (3, 6) is,
hence,
Find parametric equations for the segment joining the given points. (1, 3) and (3,6) c(t) =...
7. [-12 Points] DETAILS ROGACALCET3 11.1.033. Find parametric equations for the segment joining the given points. (3, 1) and (5, 4) c(t) |),osts 8. [-12 Points] DETAILS ROGACALCET3 11.1.049. Use the formula for the slope of the tangent line to find out for the curve c(t) - (543, 48 - 5) at t = 3. dy dx - 3 9. [-12 Points] DETAILS ROGACALCET3 11.1.062. Find an equation of the tangent line to the curve c(t) - (962 - 6,612...
The parametric equations below describe the line segment that joins the points P1(X1,Y1) and P2(x2,12). Consider the triangle A(1, 1), B(4,2), C(1, 4). Find the parametrization, including endpoints and sketch to check. X = X1 + (x2 - X1) y = V1 + (Y2 - Y1)t Ostsi (a) A to B x(t) = 1 + (2-1) y(t) = 1+(3-1) ostsi (b) B to C x(t) = (t) = Ostsi (c) A to C X(t) = y(t) = Ostsi
Find a parameterization for the line segment joining points (0,2) and (4,0) using the angle o in the figure to the right as the parameter. 2 (x,y) . Find parametric equations for the particle's motion along the line segment joining points (0,2) and (4,0), not including these points. X= y =
(a) Give a set of parametric equations (with domain) for the line segment from (4, -1) to (5,6). (b) Give a set of parametric equations (with domain) for the ellipse centered at (0,0) passing through the points (4,0), (-4,0), (0,3), and (0, -3), traversed once counter-clockwise. (c) Find the (x, y) coordinates of the points where the curve, defined parametrically by I= 2 cost y = sin 2t 0<t<T, has a horizontal tangent.
(1 point) (a) Find as a function of t for the given parametric equations. dx x t-ps у 4 - 31 dy dx = (b) Find dy as a function of t for the given parametric equations. dx X 5 - 4 -1 у dy dx =
The parametric equations where 0 tl describe the line segment that joins the points P1(x1, y and P2(x2, y2) Use a graphing device to draw the triangle with vertices A(1, 1), B(3, 4), C(1,7). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma- separated list of equations. Let x and y be in terms of t.) A to B B to C A to C The parametric equations where 0 tl describe the line...
(1 point) (a) Find dy du as a function of t for the given parametric equations. 2 = t- +5 y 6 – 2t dy dc (b) Find dy as a function of t for the given parametric equations. dc 2 4t – 6 +5 – +9 Y dy da =
Find parametric equations for the line described below. 30) The line through the points P(-1, -1, -1) and Q(7,-5,7) Find a parametrization for the line segment beginning at P1 and er 31) P1(3, 0, -2) and P2(0, 5, 0)
3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=etcost, yr etsint, z=et; (1,0,1) (b): Find the unit tangent vector T, the principal unit normal N, and the curvature k for the space curve, r(t) =< 3 sint, 3 cost, 4t >.
7. (-/1 Points) DETAILS LARCALC11 11.R.037. Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (7, 0,5), (10, 11, 9) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. *57 - 11 3+5 0 - 7x + 3 = 11y = -5z +...