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AMERICAN 1. Consider the curve represented by the parametric equations x=1-1 and y = 1° +1,...
Consider the parametric equations below. x = 2 + 4t y = 1-t2 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.(b) Eliminate the parameter to find a Cartesian equation of the curve. y = _______ Consider the parametric equations below. x = 3t - 5 y = 2t + 4 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the...
Consider the parametric equations below. - 2 y=+4 -3553 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the 2 + 6 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1sYS 7 Need Help?
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 pair of parametric equations is given. x = y=t+3 (a) Sketch the curve represented by the parametric equations. -10 5 -10 5 10 -10 -51 5 10 * -10 -5 MM 5 10 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
16. Sketch the curve represented by the parametric equations x = e', y = e3+ +1. 3 2+ 1+ + -5 -4 -3 -2 -1 + 4 1 2 3 5 x -1 -2+ -3+ ♡ Tņ
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...
1. [-/1 Points] DETAILS SCALCCC4 1.7.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the parametric equations below. x = 5t - 2 y = 3t + 1 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Eliminate the parameter to find a Cartesian equation of the...
Consider the following parametric equations. x = √1 + 2 , y = 2√t; 0 ≤ t ≤ 16 a. Eliminate the parameter to obtain an equation in x and y. b. Describe the curve and indicate the positive orientation.
3.) Sketch the curve represented by the parametric equation and indicate the orientation of the curve. Also, write the corresponding rectangular equations by eliminating the parameter. x = sec , y = cos 0, 0<O< 1/2, 7/2 <OS
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...