Which set of parametric equations represents the curve shown in the figure? Select the correct answer below: x(t) = t + 4, y(t) = -r² O x(t) = t², y(t) = t + 4 O x(t) = t + 4, y(t) = t² O x(t) = t, y(t) = t²

Q: Find the First and Second Derivate of y with respect to x from parametric equations. x=1/(t-5)3…

A: To find the First and Second Derivate of y with respect to x from parametric equations. x=1/(t-5)3…

Q: x = t + t and y = t* + 2t²

A: If the parametric equation of a curve are x=f(t) and y=g(t), then the slope of the tangent line at…

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: A set of parametric equations is given as x = t+2 cos t and y =t+sin t. Find dy in terms of t. i. dx…

A: Given parametric equations arex=t+2cost and y=t+sintfindi) dydx interms of t.ii) d2ydx2 when t=π3

Q: Which set of parametric equations represents the curve shown in the figure? Select the correct…

A: option 1 x = 3t -1⇒ 3t  = x+1⇒ 3t  = x+12⇒ t  = x+123Hence y = -2t+1 becomes y = -2 x+123+1 As per…

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

A:

Q: 6. Find the parametric equations of the line along which the following planes intersect. t: x +y +…

A:

Q: A curve C has parametric equations 1 y = 1-1 t t+±1. 1-t dy (i) Find in terms of t. dx

A: From the given information. Write the expressions for x and y.

Q: 17. Find the cartesian equation of the parametric curvex =1+e²*, y= e'. (a) z² = y? – 1 (b) 7 = x² –…

A:

Q: parametric equations. x = 8t/2, y = 3 + (8 – t)/2,0 < t s 4 You may assume that the curve traces out…

A: Given  we have the set of parametric equations x=8t32, y=3+(8-t)32,   0≤t≤4 we have to find the…

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

A:

Q: Suppose that a parametric curve C is given by the equations x = f(t), y = g(t)for 0 ≤ t ≤ 1. Find…

A: The parametric curve C is given by the equations x=ft,  y=gt  for  0≤t≤1.

Q: ELIMINATE THE PARAMETER IN THE PARAMETRIC EQUATIONS: x=t +1 Y = t t-1

A: Topic - equations

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

A:

Q: the length of a parametric curve: x = 2t + 1 ; y = t2 - 3 ;  0 < t < 5

A:

Q: The parametric equation of the line through the origin that is parallel to the line given by x = t,…

A:

Q: Find the First and Second Derivate of y with respect to x from parametric equations. a). x=(t-2)5/2…

A:

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…

A:

Q: Suppose parametric equations for the line segment between (6, 7) and (4, 5) have the form: Sa(t) = a…

A: The parametric equations for the line segment between (6,7) and (4,5) have the…

Q: Suppose parametric equations for the line segment between (7, 8) and (5, 1) have the form: Sx(t) = a…

A: We have to find

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

A:

Q: 17. The Cartesian equation of the curve with parametric equation x = 1+t?, y = 2t, where tis a…

A: for cartesian equation,  eliminate the value of 't' from both equation

Q: 1. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the…

A:

Q: Sa(t) = t2 – 3 lu(t) = 2t +1' Consider the parametric curve -2 <t< 3. At which time(s) does the…

A:

Q: Match the parametric equations with the correct graph. x = t cos(t), y = t, z = t sin(t), t2 0 ZA ZA…

A:

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

A:

Q: . Find a cartesian equation for the given parametric equations: a) x = t2 – 4 and y =t+1 b) x = 2…

A: Eliminating t

Q: 4. Determine the length of the parametric curve given by the following parametric equations. (a) x =…

A:

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

A: topic - parametric equation to rectangular equation correct curve is top left corner y =(x-1)2

Q: A cartesian equation of the parametric curve x = 6t + 11E - 10, y = E is O A No solution OB.…

A:

Q: Find the 1st  and 2nd Derivate of y with respect to x from parametric equations.     x=(t-2)5/2…

A:

Q: Which is a parametric equation for the curve 25 = (x +7) + (y+ A. c(t) = (5 cos(t) – 5, 5 sin(t) –…

A:

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: Which of the following is Parametric equations for the line passing through the origin and A(1, 0,…

A:

Q: The parametric curve 7(t) = t2 i + (3 – t) j + et k as: 2t – 1+ e = 0 - = ť², y = 3 – t, z = et t? +…

A:

Q: x = 1 + 4t,    y = 3 − t2

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

Q: Suppose parametric equations for the line segment between (6, – 9) and ( – 1, – 5) have the form:…

A: ...............when  ...............when  .

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

A: Given

Q: Suppose parametric equations for the line segment between (2,4) and (−2,2) have the form: x(t)=a+bt…

A:

Q: Considering C is a curve which has the following parametric equations: 1 t³t+1, C = { x (t) = { 1³3…

A: Parametric equation

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:

Q: The parametric equation of the x_axis is t=1 O x=1 O x=0 O x=t

A: To find the parametric equation of x axis.

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

A: Given parametric equations, x=et,y=e3t+4 To find y.

Q: What is the parametric equation for the line through the point (1,2, 3) paralkel to the y- axis? (a)…

A:

Q: A cartesian equation of the parametric curve x= 12t + 13 /t – 14, y = vt is OA. X = [ 3y – 2 [ 4y +…

A: We have to find the cartesian equation of the given parametric curve.

Q: The curve C have the parametric equation: x(t) = t² + 1 and y(t) = t³ – 1 a) Make a sketch of curve…

A: In the Cartesian coordinate system, the parametric equations use a third variable(usually "t") to…

Q: Suppose parametric equations for the line segment between (3, 1) and (2, 4) have the form: ( x(t) =…

A:

Q: Plot the parametric curve x=t^3 ; y= sin(t^3); for (t, -2, 2). a) what familiar curve is produced?…

A:

Q: Suppose parametric equations for the line segment between (6, 1) and (7, 7) have the form: Sx(t) = a…

A: We have find four unknowns so we need four independent equations.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.