Find parametric equations for the path of a particle that moves along the circle æ² + (y – 1)² = 4 in the manner described. a. Once around clockwise, starting at (2, 1) Answer + b. Three times around counterclockwise, starting at (2, 1) Answer + c. Halfway around counterclockwise, starting at (0, 3) Answer +

Q: In the given equation as follows ,  find a set of parametric equations for the line or conic :- see…

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Q: -38, find parametric equations for the given curve. 3x 34. Segment joining (-3,0) and (0, 4)

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Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = –7t – 2…

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Q: 3 Find the distance of the point Q from the line L with the following parametric equations. x = -1+…

A: The given line is: x=-1+4ty=1+3tz=7-3t  To find the distance of the point Q 36-5 from the given line…

Q: In the given equation as  follws , find a set of parametric equations forthe rectangular equation…

A: Given :                 y = 2x -5 , t=0 at point (3,1)

Q: Which option is a complete set of solutions of the equation x +2y-4z=13, written in parametric form…

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Q: A cheetah can run at 105 feet per second, but only for 7 seconds, at which time the animal must stop…

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Q: Given that x(t) = 10t + 2 and y(t) = –30t – 6, which of the following gives a Cartesian form of the…

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Q: 33. Find parametric equations for the path of a particle that moves along the circle x² + (y – 1)² =…

A: from the equation of a circle given to us, we have the radius r = 2 as the general form of the…

Q: Eliminate the parameter in the parametric equations x(t) = -6t + 8 and y(t) the equations. = 30t –…

A: givenx=-6t+8....................(i)and y=30t-10...................(ii)x=-6t+86t=8-xt=8-x6

Q: Eliminate the parameter in the parametric equations a(t) = -3t – 1 and y(t) =-15t – 10 to write a…

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Q: Eliminate the parameter t to find a Cartesian equation for: 3D² y = 3 + 5t The resulting equation…

A: Given that: x=t2…

Q: 6. Consider the parametric equations, x = 3t + 2, y = t2 a) Graph the curve C for -2<t< 2. Indicate…

A: a) We make a table for the values t x y -2 -4 4 -1 -1 1 0 2 0 1 5 1 2 8 4 Then we…

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

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Q: Given the parametric equations x =t+1 and y = t – 2 for -3 <t <3, a. Graph the parametric equations,…

A: Given :  x = t + 1            ------(i)    And       y= t² -2          -------(ii)   7 (a)

Q: Given the parametric equations, x = t - 1 and y = -t, find the point on the graph at time, t = 4.…

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Q: Consider the following parametric equations: 12 - 8 3t – 16 and y = 2 X = 2 Step 2 of 2: Plot the…

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Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

A: We can find the point as below

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: A watermelon is launched by a catapult with an initial velocity of 89 feet per second and an angle…

A: x(t)=(89cos61∘)t, y(t)=−16t2 +(89sin61∘)t+9.    comparing with height equation; y(t)=−1/2(g)t2 +(v0…

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

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Q: Come up with a parametric description of the circle (x- 2)° +(y+4)* = 9. Make it so that the circle…

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Q: Find the parametric equation of the line that passes through P(1, 0, -3) and is parallel to the line…

A: Given: We have to find the parametric equation of the line that passes through the point P(1, 0, -3)…

Q: Suppose parametric equations for the line segment between (6, 2) and (1, - 5) have the form: S(t) =…

A: Image is attached with detailed solution.

Q: With respect to the curve 2² - 2xy + 3y² = 1, answer the following questions. 1. What is the curve?…

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Q: Suppose parametric equations for the line segment between (5, – 8) and (3, – 1) have the form: s#(t)…

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Q: Suppose parametric equations for the line segment between (0,-10) and (8,-1) have the form: a + bt…

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Q: Which of the following correctly graphs the parametric equations x(t) = v4t – 4 and - y(t) = 3t – 3:

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Q: Suppose parametric equations for the line segment between ( – 2, – 4) and (3, 3) have the form:…

A: Given x(t)=a+bt          y(t)=c+dtwhen t=0,x(0)=-2,y(0)=-4⇒ x(0)=a+b0     -2=a      y(0)=c+d0…

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: please make curve clear and determine the direction (clockwise or counterclockwise) of the curve.…

A: Given that       x = -3t , y = t2  , -3 &lt;= t &lt;= 2  Here we have to draw the graph.

Q: Graph the following parametric equations by hand, using values of t in [- 2,2]. Make a table of t-,…

A: We will use the table to find solution to the problem .

Q: please make the curve easy to read and determine the direction (clockwise or counterclockwise) of…

A: Data given  X=-t+3   Y=-2t+1  value of t is given in a interval of [0, 5] Find out orientation of…

Q: Evaluate ſ y?dx + x dy along the following paths. EXAMPLE 4 (a) C = C, is the line segment from…

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Q: s on the graph of parametric equations 2VE %3D tF (2,0), then |PF|= B. 5 C. 6 D. 7

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Given two points P(6,3, 1) and Q(5,0,0), find the parametric equations for a smooth curve, C:x = 5+…

A: C : x = 5 + z        y  = 3z^2

Q: Suppose parametric equations for the line segment between (8, – 3) and (9, 2) have the form: S¤(t) =…

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Q: Suppose parametric equations for the line segment between (6, 2) and (1, - 5) have the form: S (t) =…

A: Here we use the initial consultations.

Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = = 6t –…

A: Parametric Equation of x : x(t)=6t-3⇔x=6t-3 Parametric Equation of y : y(t)=-18t-11⇔y=-18t-11

Q: If AB = 15 m, BC = 18 m and CA = 24 m, find the point %3D %3D %3D intersection of the angular…

A: As we konw angle bisector of triangle is incentre so we can find it by directlly formula

Q: 1/a- Find the parametric equation of the line passing through Po(1,3,4) parallel to 21-j+5k b- Find…

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Q: ) Suppose that the parametric equations x = 1, y = r', 12 0, model the position of a moving object…

A: Given

Q: For the given parametric equations, find the points (x, y) corresponding to the parameter values t =…

A: Given: x = t2 + t       ,     y = 3t+1  values t = -2, -1, 0, 1, 2

Q: Given two points P(6, 3,1) and Q (5,0, 0), find the parametric equations for a smooth curve, C:x= 5+…

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Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

A: Just put the value of t= 3 into the parametric equations and get the required point on the graph.…

Q: Suppose parametric equations for the line segment between (4, 3) and (– 1, – 10) have the form:…

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Q: find the parametric equation for each of the following a.) for the line of slope 2 passing through…

A: a) Firstly, we will find the equation of line of slope 2 passing through the point (-2,4) by using…

Q: Find parametric equations for the segment joining the given points. (1, 3) and (3, 6) 0 sts1 c(t)…

A: Let p and q be the points (1,3) and (3,6) The parametric equation of the segment joining p and q is…

Q: Which of the following graphs correctly displays the graph of the curve defined by the parametric…

A: The graph of  e-2t+4

Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

A: