A hiker in the woods travels along the path described by the parametric equations X = 80 − 0.7T Y= 0.3T A bear leaves another area of the woods to the west and travels along the path a) b) X= 0.2T Y= 20 + 0.7T Do the paths of the hiker and bear cross? Do the hiker and bear collide?

Q: Consider the parametric equation of the shifted ellipse 9 45 x = 4 cos 0, y = 16 sin e Evaluate the…

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Q: Sketch the curve represented by the parametric equation and indicate the orientation of the curve.…

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Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the…

A: We will find the time taken by the rocket to hits the ground as shown below

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Q: 7. The parametric equation of an ellipse is given by x = a cost, y=bsint; 0<t<2n. Determine the area…

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A: It is given that x=3-sint, y=3+cost. we have to find the graph of the parametric curve

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A: Given :  x=2cos(θ), y=5sin(θ),  0≤θ≤2π The area under the curve can be written as:…

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

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A: The given question has been solved in detail

Q: The parametric equations for x3+y/3-4 , when 0s0<2n are:

A: See the attachment

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A: The parametric equations are x=t+sint, y=cos2t and t∈0,2π.

Q: Find parametric equations for the complete parabola x = y2. Answersare not unique.

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Q: In three dimensions, the cylinder x? + z2 – 10x – 6z – 2 = 0 has radius k i +tj+ and the axis line…

A: Radius =6  r(t)= (5+6cos(thetha))i+tj+(3+6sin(thetha)k

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Q: Find two different sets of parametric equations for the rectangular equation y = x2 + 4.

A: To find the set of parametric equations

Q: ii) Show that the polar equation of the top half of the parabola with Cartesian equation 1 y = v2x…

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Q: The parametric equations x = 16+ ² + St. Y= 4+³+3+² ned come correspond to the Do Not make…

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Q: You are given the parametric equations x = 2 cos(0), y sin(20). a) List all of the points (x, y)…

A: . .

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)

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Q: A pair of parametric equations is given. x = 5 cos(t),    y = 6 sin(t), Find a…

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Q: d) Find the parametric equations for the line of intersection of the two planes.

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

A: parametric equations x=3cos(2pi t)+2, y= -6cos(2pi t)+1.

Q: A curve represented by the parametric equations a = et and y = e 24, will be Select one: О нурerbola…

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Q: Find two different sets of parametric equations for the rectangular equation y = x2 - 3.

A: Find two different sets of parametric equations for the rectangular equation y = x2 - 3

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

Q: 1. Use the parametric equations of an ellipse, x = a cos 0, y = b sin 0, 0 < 0< 27, to find the area…

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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÷

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Q: Suppose you have the parametric equations x = 4cos(6) y= 6sin( 6 ) %3D Eliminate the parameter and…

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Q: 2. Find the coordinates of the centre, vertices and foci of the curve with parametric equations: x =…

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Q: Find the parametric equations of the li segment that passes through the point

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Q: Sketch the curve represented by the parametric equations x = 1 + 8t,                 y = 3 − 4t…

A: x=1+8t,  y=3-4t When t=0, x=1+80, y=3-40⇒x=1, y=3 When t=1, x=1+81, y=3-41⇒x=9, y=-1 Now the graph…

Q: The parametric equations x = sect and y = tan t , 0 <ts 2n, represent hyperbola.

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Q: The graph of the curve given by the parametric equations x= sint and y=cos2t IS a

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Q: Use the parametric equations of an ellipse, x = 2 cos(8), y = 3 sin(8), 0 < 0 < 27, to find the area…

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

A: Given, x282+y242=1

Q: Find two different sets of parametric equations for the rectangular equation  y = x2

A: y=x2 Let x=3t, then y=3t2=9t2 Now let x=4t, then  y=4t2=16t2

Q: If a projectile is fired with an initial 37. Path of a Projectile speed of t, ft/s at an angle a…

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Q: A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve…

A: Radius of fixed circle a=2 Radius of rolling circle b=1 ∠ICP=φ   aθ=AI=PI=Bϕ…

Q: Find the corresponding Cartesian equation of the parametric equation       x=3cosθx=3cosθ.…

A: Given:           x=3 cos θ,   y=4 sin θ            0≤θ≤2π From: x= 3 cos θ            cos θ=x3 From:…

Q: You are given the parametric equations z = cos(30), Y = 2 sin(0). (a) List all of the points (x, y)…

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Q: Give a parametrization of the left half portion of the polar curve described by the equation r = 3.

A: Give a parametrization of the left half portion of the polar curve described by the equation r = 3.

Q: Find two different sets of parametric equations for the rectangular equation  y = 4x + 1, t = −1 at…

A: Given equation is y=4x+1, t=-1 and the point is (-2,-7).