Challenge 3: Adjust the functions for f(t) and g(t) to create a parametric function that is a straight line between the points (-2,-3) and (6,3). The parameter t will go from 0 to 1 for this parametric function. Right now the parametric function is graphed in red and goes from (1,0) to (1,1). Keep t going from 0 to 1 for your parametric function.

Q: 2.) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

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Q: Eliminate the parameter for the given parametric equations to write an equation in the form of y =f…

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Q: find a parametric equation for the line that is per-pendicular to the graph of the given equation at…

A: 41. Here the given as  Now we let

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: Find the First and Second Derivate of y with respect to x from parametric equations. x=3-t5;y=7t-5

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Q: Suppose a curve is given by the parametric equations x = f (t), y = g (t), where the range of f is…

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Q: Suppose parametric equations for the line segment between (-2, 10) and (8, 9) have the form: a + bt…

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: Suppose parametric equations for the line segment between (5, 3) and (3, – 8) have the form: S¤(t) =…

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Q: 20. Sketch the curve defined by the parametric equations over the given interval. Include the…

A: By putting the different values of t in x and y.we can draw the graph

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: Suppose a parametric equations for the line segment between (5,2) and (7,8) have the form:  x(t)=…

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Q: Suppose parametric equations for the line segment between (-2, - 6) and (4, 7) have the form: Sa(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: 8. Let, x - 1- and y -1+1 a) Complete the chart and sketch the curve represented by the parametric…

A: The given parametric equations are x=1-t2 and y=1+t. Complete the given table as follows. t x y…

Q: Find a parametric equation for the path of a particle that moves halfway around the circle…

A: We have to find the parametric equation for the path of a particle.

Q: Question 3. Consider the function f(z, y, z) = 1² + y² +2z2 – 2r – 4y – 8z. The set of points where…

A: Given: f(x,y,z)=x2+y2+2z2-2x-4y-8z (a) To find the parametric equation of the curve containing the…

Q: 20. Sketch the curve defined by the parametric equations over the given interval. Include the…

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Q: Eliminate the parameter f in the parametric equations z(t)=√t+1, y(t) = Sketch the graph of the…

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Q: Suppose parametric equations for the line segment between (7, 3) and (3, 0) have the form: S z(t) =…

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Q: find the slope of the parametric curve x=-6t-5, y=3t^3, at the point t=3

A: To find the slope we have to find dy/dx For that we find dx/dt and dy/dt first

Q: Find an equation for the projection of the curve on the xz plane. (Hints: First, figure out from…

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Q: A curve is given by the parametric equations x(t)=t2-4t and y(t)=t2+2t-3. The line tangent to the…

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Q: Suppose parametric equations for the line segment between (2, a(t) 6) and (0, 0) have the form: = a…

A: Explanation of the solution is given below...

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

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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 ( – 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: 2 Make a graph of the parametric equations x(t) = t - 3 on the interval 0sts 4 y(t) = ) = t ³ - 5 t

A: Given parametric equations  X(t) = t2-3  Y(t) =t3-5t

Q: Given the information below, define a set of parametric equations, (t) and y(t) to model the…

A: We are given that the movement of an object is a straight-line path joining (9, 2) and (-8, -3).…

Q: Determine the relative maximum, relative minimum, and point of inflection without eliminating the…

A: The parametric equations are, x=1t3 y=t2-t   Differentiate x=1t3 with respect to t. dxdt=ddx1t3=-3t4…

Q: Suppose a ball is hit with a horizontal velocity of 80 ft/sec and an initial upward velocity of 90…

A: NOTE: Refresh your page if you can't see any equations. . here the given horizontal distance is…

Q: - A curve is defined by the parametric equations x(t) = t² -4t +1 , y(t) =t³ Find the equation of…

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Q: 6. Locate all the points (if any) of the horizontal and vertical tangents to the curve defined by…

A: Consider the given equations,x=t2-t,y=t3-3tFind derivative with respect to…

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: The diagram shows part of the curve with parametric equations x = 2 In(t + 2). y =+2t + 3. (1) Find…

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

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Q: Given the information below, define a set of parametric equations, x(t) and y(t) to model the…

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

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

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Q: I Let C be the line segment from A(0,-3) to B(-4, 1). a) Sketch the graph of C, and find parametric…

A: The parametric equation of a line includes a real parameter t. It is of the form  x=xt,y=yt A line…

Q: Finding the length of the curve with parametric equations  x(t) = 3t2,  y(t)=2t3,  0 ≤ t ≤ 2

A: Given: - The parametric equations are, x(t)=3t2, y(t)=2t3, 0≤t≤2 To find: - The length of the curve…

Q: Make a graph of the curve defined by the parametric equations X = t -5 on the interval 0 sts 3 y=t?

A: Given x=t-5 y=t2   0≤t≤3

Q: It can be shown that the parametric equations x = x1 + (x2 – x1)t, y = y1 +(y2 – yı)t, where 0 <t 1,…

A: Given: Parametric equation of line segment joining the points P1x1,y1 and P2x2,y2 is given as…

Q: Consider the curve whose parametric equations are x (t) = 2t? – 4t + 2 and y (t) = 2t – 8t? + 8. At…

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: Suppose parametric equations for the line segment between (7, – 4) and (3, 5) have the form: |*(t) =…

A: The two points are  A=(7,-4) and B=(3,5) The parametric equations are- x(t)=a+bty(t)=c+dt

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

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: We will make a table of values for t,x,y t x y -2 5.4 2.1 -1 1.7 1.4 0 1 1 1 1.4 1.7 2…

Q: Picture of question is attached.

A: a). substituting x = t, we get b). substituting        we get