This question gives you a pair of parametric equations. Find a rectangular equation for the plane...

Question

Question

Answer 1

Answer #1

Given pair of parametric equations,

x=t+4

=> t=x-4...................(i)

y=t²..........................(ii)

Put t from (i) into (ii)

y=(x-4)²

y=x²-2(x)(4)+4²

=>y=x²-8x+16, which is the required rectangular equation.

Answer 2

Similar Homework Help Questions

4. Find a rectangular equation for the plane curve defined by the parametric equations x=3sin()y =...

4. Find a rectangular equation for the plane curve defined by the parametric equations x=3sin()y = 3 cos(1) (a) y = x-3 (C) y = 7-9 (b) x + y = 9 (d) x+y = 3 5. Write the equation r = 4 cos in rectangular form. (a) x + y - 4y (b) x² + y = 4x (C) (x + y) = 4x (d) (x+y)* = 4y 6. Write [2(cos 15° + i sin 15°)] in rectangular form....
Use a table of values to graph the plane curve defined by the following parametric equations. Fin...

Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve ★17)x-t3 + 1.y=t3-1,for t in [-2, 2] 17) Give two parametric representations for the equation of the parabola. 18) 18) y=x2 + 6x + 15 Find the partial fraction decomposition for the rational expression. Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve...
2) Find a rectangular equation for the curve with the given parametric equations. x = 2...

2) Find a rectangular equation for the curve with the given parametric equations. x = 2 sin(t).y = 2 cos(t);0 st <270 (b) x2 + y2 = 2 c) x2 + y2 = 4 (d) y = x2 - 4 (a) y2 - x2 = 2 (e) y = x2 - 2

Question 20 0.1 p1 Find a rectangular equation for the plane curve defined by the parametric...

Question 20 0.1 p1 Find a rectangular equation for the plane curve defined by the parametric equations. x = 5 cost, y = -2 sint; Osts 21 4x2 + 25y2 = 100;-5 sxs 5 O 4x2 - 25y2 = 1;xzı 4x2 - 25y2 = 100; x 25 O 4x2 + 25y2 = 1;-} sxs O None Question 21 0.1 pts Solve.
A pair of parametric equations is given. x = y=t+3 (a) Sketch the curve represented by...

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.
Find the Derivative of a Curve Defined by Trigonometric Parametric Equations Question What are the critical points for...

Find the Derivative of a Curve Defined by Trigonometric Parametric Equations Question What are the critical points for the plane curve defined by the equations r(t)o(2)(t)1in(2t), and t<T? Write your answer as a list of values of t, separated by commas. For example, if you found t 1 ort would enter 1,2. 2, you Provide your answer below: Find the Derivative of a Curve Defined by Trigonometric Parametric Equations Question What are the critical points for the plane curve defined...

Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation...

Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve. x=5 cost. y 3 sint Osts 2x Choose the correct graph below ОА OB Ос OD Q Determine the rectangular equation of the curve. Choose the correct answer below. Ox+y? - 34 O 25x + 9 = 1
Question 8 Find an equation for the tangent plane and parametric equations for the normal line...

Question 8 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. Р 14 Tangent Plane: z= Edit Normal Line: X(t) = ? Edit y(t) = Edit z(t) = 1-t
Graph the plane curve for the pair of parametric equations x=4cot t, y= 4csc t

Graph the plane curve for the pair of parametric equations x=4cot t, y= 4csc t

Find a set of parametric equations to represent the graph of the rectangular equation y =...

Find a set of parametric equations to represent the graph of the rectangular equation y = 2 - x2 using t = x + 1