Which of the following correctly gives the Cartesian form of the parametric equations x(t) = -3t – 1 and y(t) = -15t – 10? Select the correct answer below: O y = 45x +5 Ох%3D 5у — 5 O x = 45y + 29 О у3 5х — 5 О у3 5х — 25

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

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Q: Find the parametric equations for the ellipse y2 + 4x2 - 2y + 4x + 1 = 0. Hint: Use completing the…

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Q: From the two parametric equations below, find dy dx x = (2 − 3t)/ (1 + t) , y =(3 + 2t)/(1 + t)

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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: 12. Given the parametric equations r(t) = 3t + 2 and y(t) = t+1 for 0 <t< 4, find the rectangular…

A: For getting the rectangular equation eliminate the t

Q: The Cartesian equation equivalent to the parametric equations x= 145t andy= 3 + 39t- 16t is: 16 x?…

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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: Convert the given equation, -z2- y2 +=1, z20 to an equation in cylindrical coordinates.

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Q: Which of the following correctly graphs the parametric equations x(t) V3t – 1 and - y(t) = -2t + 1?…

A: parabolas with a vertex(h,k)(other than the origin, we use the standard form(y−k)2=4p(x−h)(for…

Q: (d) Find the parametric equation for the line segment from point P(1,3, 2) and Q(1, –1,6).

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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: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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Q: Find two different pairs of parametric equations for y = - 2x + 4.

A: The given equation is: y=-2x+4 Consider, x=t Then, y=-2t+4

Q: What is the Cartesian form of the parametric equations ¤(t) =t+4 and y(t) =t² +3t +1? Provide your…

A: Given that,           x(t) = t+4    &amp;  y(t) = t2+3t+1  Then               t=x-4 , substituting…

Q: For the parametric equations x-5tan(0), y%36cos(0). The cartesian form can be written as a.…

A: The parametric equations are written in terms of r and θ . The Cartesian equations are written in…

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: 4

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Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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Q: Find the parametric equation of the line through a = 3 A co which is parallel to b = 2

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Q: 4. The trajectory of the spaceship Excelsior during the first 5 minutes of the launch can be…

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Q: A particle moves on a trajectory described by the parametric equations x(t)=2t, y(t)=8t, t≥0. What…

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Q: 8. The position of a particle moving in the xy-plane is given by the parametric equations x =…

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Q: 3. Find the angle or rotation and new equation of curve 9x2 + 24xy + 16y2 + 90x – 130y O such that…

A: According to our guidelines we are allowed to answer only one question at a time. Submit the  second…

Q: Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5. Ox-y=31-2 Ox-4:…

A: Given that:t=4x+1To find parametric equation for y=12x+5

Q: The parametric equations that correspond to T= (2t 1) i- 3vtj+ sin 3t k is %3D

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Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1…

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Q: Q2:- Find the parametric equations for the following Cartesian equations. 1) x=(/y² + 4 + 2) 2) 4x2…

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Q: Find a parametric representation of the solution set of the linear equation.x + y + z = 1

A: Consider the given linear equation  x + y + z = 1 We have one equation and three unknown(x, y, z).…

Q: 18. What is the rectangular equation of the curve whose parametric equations are x = 2t, y= 2+ 3t*?…

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Q: Eliminate the parameter in the parametric equations a(t) = log (12t) and y(t) =-3t + 2 to a…

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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: 5. Find the parametric equation of the line passing in R³ passing through the points (3, 1,0) and…

A: Directly use the formula for the parametric equation in R3

Q: 3. Find the angle or rotation and new equation of curve 9x2 + 24xy + 16y2 + 90x – 130y = O such that…

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Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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Q: Q1:- Draw the graph of the following parametric equations, and find the Cartesia 1) x = 6t + 2 y =…

A: Hello. Since your question has multiple parts, we will solve the first three part for you. If you…

Q: 8) Find the parametric equation of the Line passes through p (2 -4,5) parallel 19to 3x+y-97 =5 and…

A: This question can be solved using the concepts: general equation of a line condition of  line and…

Q: Find the rectangular equation for the following two parametric equations. x = 2t – 1 and y = t² + 6…

A: Given equation is  x = 2t-1            ..............(i) And y = t2+6          .............(ii) So,…

Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = 4t – 2…

A: xt=4t-2 &amp; yt=t-3 Now consider, x=4t-2⇒4t=x+2⇒t=x+24

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: For the parametric equations x=4tan(0), y=6cos(0). The cartesian form can be written as a.…

A: Sin²x+Cos²x=1

Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to…

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Q: 4. Solve for the critical points of the given parametric equation: x = t³ – 1; y = t² + t

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Q: Solve for the critical points of the parametric equations x = t3 -1, y = t2+t

A: To find the critical points

Q: Find the parametric equation of the line through a parallel to b, using t as the parameter. 439 H 8…

A: We are given two vectors a and b  a=[-23], b=[-83] to find the equation of the line through a and…

Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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Q: -10 -8 -6 -4 4 6 8 10 -10- Which of the following sets of parametric equations correctly represents…

A: Given: The curve as To determine: Parametric equation of given curve.

Q: Find the parametric equations of the line L which is parallel to the line L1 : 2x = 5y = 7z and…

A: The parametric equation of a line L that passes through a point a and parallel to a line r is given…

Q: A hiker in the woods travels along the path described by the parametric equations X = 80 − 0.7T Y=…

A: Hiker  X=80-0.7T Y=0.3T   Bear  X=0.2T Y=20+0.7T

Q: 8. Solve for the critical points of the parametric equations x = t - 1,y = t² +t

A: To find the critical points of parametric curve x(t)=t2-1, y(t)=t2+t

Q: What is the Cartesian form of the parametric equations æ(t) = 4cost – 1 and y(t) = 5sint + 2?…

A: Here I am attaching image so that you understand each and every step.