Eliminate the parameter and obtain the standard form of the rectangular equation. Circle:  x = h + r cos(?),    y = k + r sin(?) Use your result to find a set of parametric equations for the line or conic. (When 0 ≤ ? ≤ 2?.) Circle: center:  (6, 3);  radius: 7

Q: Eliminate the parameter and graph the plane curve represented by the parametric equations, x = 4sin…

A: Given: Parametric equations, x=4sinty=3cost Identity used: sin2A+cos2A=1 where, A is the angle.

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: Given the parametric equationsx=2t2y=t4+1

Q: 2. Determine the ry-coordinates of the points where the following parametric equations will have…

A: Given : Parametric equations : x = 2sin t,  y = 4 cos t,  0 ≤ t ≤ 2π To find : xy coordinates…

Q: A pair of parametric equations is given. x = cos(t), y = cos(2t) (b) Find a rectangular-coordinate…

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Q: A lizard moves through the plane with its position at t seconds given by the parametric equations…

A: →cos(nπ) = (-1)n  →First find the inital co-ordinates at t = 0. Now, we have to find the time at…

Q: Consider a projectile launched at a heighth feet above the ground and at an angle with the…

A: The parametric equation of the position of the ball is given by…

Q: he rectangular equation from the parametric equations by eliminating the paramet

A: 11. Obtain the rectangular equation from the parametric equations by eliminating the parameter t X=t…

Q: Find parametric equations for the lines with the given description.Perpendicular to the xy-plane,…

A: The line is perpendicular to the xy-plane and passes through the origin;

Q: y? The ellipse 1 can be drawn with parametric equations where x(t) is written in the 32 form x(t) =…

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Q: Find a parametric form for the line through the point (8, –6, –3) and perpendicular to the plane 2x…

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Q: Consider the parametric equations below. x = 4 + 5t,    y = 1 − t2   Eliminate the parameter to…

A: Calculation:Compute the Cartesian equation as follows.Rewrite x = 4 + 5t as follows t = (x – 4)/5.

Q: Match the parametric equations with the graphs labeled A - F. As always, you may click on the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Eliminate the parameter for the following set of parametric equations x = -6 cos 4t , y = 2 sin 4t…

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Q: A playful monkey is sliding down a helical slide. Her position at time t after the start is given by…

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Q: i) Eliminate the parameter for the given set of parametric equations, sketch the graph of the…

A: Given: x=6-7 e-2t & y=4+3 e-2t To eliminate the parameter t & to sketch the graph of…

Q: Use parametric equations and Simpson's Rule with  n = 8  to estimate the circumference of the…

A: Given: The equation of ellipse is 16x2 + 4y2 = 64. To estimate: The circumference of the ellipse…

Q: What does the graph of the parametric equations x (t) = 2-t and y(t) = (t + 3)², where t is on the…

A: Given parametric equation:x(t)=2-ty(t)=(t+3)2 where t is on the interval  [-4, 0]

Q: 5. Given the parameter 7, constants a and c, show that the parametric equations: X(+) = (cosh () –…

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Q: Exn=9sin+2 and v(r)-8 cost+ 2, eliminate the parameter to write the parametric equations as a…

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Q: y? The ellipse 1 can be drawn with parametric equations where x(t) is written in the form x(t) = r…

A: Compare the given equation with the standard form of equation of ellipse than write the parametric…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Find parametric equations for the line that passes through the point (6, 6) and is parallel to the…

A: parallel to the line y = −5/2x − 3.So slope= -5/2 In vector form: <2,-5>

Q: Determine the parametric equations with t>=0 for the segment of the curve whose Cartesian equation…

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Q: 10. Eliminate the parameter and identify the graph of the parametric equation. x = sin t , y = -3…

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Q: Eliminate the parameter in the parametric equations x(t) = e³t and y(t) = 3e' to a Cartesian form of…

A: Givenx(t)=e3t    ....(1)y(t)=3et     ....(2)

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at (a,…

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Q: Eliminate the parameter and obtoin the standerd formt 7,) of the rectongular equation. Circle:…

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Q: Find the parametric equation for the curve 2x + 5y = 6. (Use symbolic notation and fractions where…

A: Given equation is, 2x+5y2=6 Now write it in terms of x or y  x =(6-5y2)/2

Q: Hypocycloid When a circle rolls on the inside of a fixed circle, any point P on the circumference of…

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Q: A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder…

A: for the right angle triangle, use the Pythagorean theorem  ................(1) the location of the…

Q: Sketch the parametric equations by eliminating the parameter. x = sec(t), y = tan(t) y y 4 4 2 X -4…

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Q: iminate the parameter in x = -t +2t and y =t-4 and then identify the parametric sketch its image in…

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Q: What does the graph of the parametric equations x(t)=3−t and y(t)=(t+1)2, where t is on the interval…

A: Given data÷

Q: x = 1 + 4t,    y = 3 − t2

A: Here we extract t from the 1st equation then put this into second equation.

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

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Q: Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented…

A: Given parametric equations are: x = t - 2, y = t2 ; - ∞ < t < ∞ Squaring both sides of x = t -…

Q: Find a parameterization for the circle (x- 14)2 + y2 = 49 starting at the point (7,0) and moving…

A: Center= (14,0) And radius=7

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. y= 3/E-4…

A: In this question , we can eliminate the parameter 't' and rewrite the equation as a cartesian…

Q: Eliminate the parameter in x = -t +2t and y =t-4 and then identify the parametric curve and sketch…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Eliminate the parameter and get the standard form of the equation. Circle: x= h+ r cos(theta), y= k…

A: From given equations, we solve for cos theta and sin theta

Q: What is the rectangular form of the parametric equations? z(t)=t-3, y(t) = 2t2-1, where t is on the…

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Q: Find a set of parametric equations for the curve of intersection of a paraboloid x² + (y − 2)² = z…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Eliminate the parameter and graph the plane curve represented by the parametric equations, x = 3sec…

A: Given: x = 3sec t, y = 3tan t ; 0 ≤ t ≤ π/4

Q: 3) (i) Eliminate the parameter to find a Cartesian equation of the curve. (ii) Sketch the parametric…

A: Our objective is to eliminate the parameters to find the cartesian equation of the curve and sketch…

Q: Find parametric equations for the line that passes through the point (3, 6) and is parallel to the…

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