Find parametric equations for the line through (-4,1,1) parallel to the x-axis. Let z = 1. y-z= (Type expressions using t as the variable.) %3D

Q: If x(t) = -e * and y(t) = 2et, eliminate the parameter to write the parametric equations as a…

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Q: Find two different parametric equations for the rectangular equation given. y=x* +3 (a) Substitute…

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Q: Write Parametric Equations to Represent a Curve for the given curve for the given definitio:

A: In question number 32, we are asked to form only parametric equations, that means equation of x and…

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: find t in terms of x and plugin to second parametric equation.

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = t2 -…

A: Here we have to convert the parametric equation into rectangular equation.  The solution is…

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: Given : x(t) =  e4t, and y(t) = e7t Let x = e4t       e4t = x Taking both side log, log(e4t) =…

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Į ¤(t)…

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Q: find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should…

A: Definition used -             Parametric equation of a line-             Parametric equation of…

Q: find the parametric equation (linear). remove the parameter to find the equation. graph them.  c.…

A: The solution of given equations is given as follows . The graph is the straight line as given below…

Q: Find parametric equations for the curve with the given properties. The line passing through (4, 5)…

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Q: Find the parametric equations for, the tangent line to the curve It)=4?+1) i t (t+ 4)Ĵ ť 3+3 R at…

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

A: The given parametric equation is: x=3+t and y=t2-5t, 0≤t≤6 Find the value of t, where y=0:…

Q: Complete the parametric equations of the line through the points (4,-8,1) and (-7,2,-2) x(t) = 4 –…

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Q: find parametric equations for the given curve.  x 2 + y 2 = 49

A: Given: find parametric equations for the given curve.   x2 + y2 = 49=72The parametric equation for a…

Q: Find parametric equations for the line that passes through the points P and Q. P(1, –2, 3), Q(5, 1,…

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Q: Find parametric equations for the line through (5, –7) and (2, – 13).

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Q: ?dep 242229358tags autosavet Sketch the curve represented by the parametric equations (indicate the…

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Q: Find a parametric equations representation for the curve (x + 3)² + (y – 2)² = 9 x = 9cost + 3, x =…

A: You know the trigonometric identity:

Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: The midpoint of a line segment whose endpoints are P(3,2,1) and Q is M(2,3,–2). Find the parametric…

A: Given a line segment who endpoints are: P (3,2,1) and Q Let's say Q=( x, y, z) Now given that M (2,…

Q: (c) Find parametric equations of a line through the origin and parallel to the line I =1-t, y = 2, z…

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

A: Given  parametric equation is X = t-2 Y = 2t² So Y = 2*(X+2)² Y = 2X² + 8X + 8

Q: Find parametric equations for the line that passes through the point (6, 6) and is parallel to the…

A: parallel to the line y = −5/2x − 3.So slope= -5/2 In vector form: <2,-5>

Q: Find parametric equations and symmetric equation for the line. 8) The line through (2, 1, 0) and…

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Q: Write the Cartesian equation of the line given by the parametric equations æ(t) y(t) z(t) 5 – 4t -1-…

A: Givenx(t)=5-4ty(t)=-1-6tz(t)=6tIt means thatx-5-4=ty+1-6=tz-06=tcan also be written…

Q: Find parametric equations for the line segment joining the first point to the second point. (- 3, –…

A: equation of the segment (x_1,y_1,z_1) and (x_2,y_2,z_2) is  x-x_1/(x_2-x_1) = y-y_1/(y_2-y_1) =…

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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: 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: Find the parametric equation for the curve 2x + 5y = 6. (Use symbolic notation and fractions where…

A: Given equation is, 2x+5y2=6 Now write it in terms of x or y  x =(6-5y2)/2

Q: Find a set of parametric equations that represents the graph of y = 1 − x2, using each of the…

A: Given- y=1-x2 To find- Find a set of parametric equations that represents the  above graph using…

Q: Find parametric equations for the line described below. The line through the point P(3, 2, 4) and…

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Q: QV Find the Parametric equation for through a Point (5,3,-4) and Per Pendicudar to (ine Passes the…

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= -2 t+6 y=…

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Q: Find a parametric description r(t) for the ine segment from (-1,-3,-1) to (1,7,4). Provide your…

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Q: Find parametric equations for the line segment from (8, 3, 1) to (3, 5, -2). (Use t parameter t.)…

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Q: The set of parametric equations represents a line. Without eliminating the parameter, find the slope…

A: Differentiate the first equation wrt t: x = 8 - 3t…

Q: 6) Find parametric equations for the line through P(0, -2,-2) and Q(1,1,0).

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. y= 3/E-4…

A: In this question , we can eliminate the parameter 't' and rewrite the equation as a cartesian…

Q: Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented…

A: Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented…

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. (x(t) = 5 - 3t…

A: Please see the answer in step 2

Q: Find parametric equations for the curve with the given properties. The line passing through (5, 7)…

A: To determine the parametric equation of the line.

Q: Find parametric equations for the line segment joining the first point to the second point. (0,0,0)…

A: By following the procedure we find the parametric equation of line joining two points.

Q: 17. Let L be the line determined by the equation r(t) = (2 + 7t, 3 – 5t, 2t), –∞ < t < . (a) Give…

A: given equation is                                              r(t)=2+7t, 3-5t, 2t, -∞&lt;t&lt;∞ ℒ…

Q: 13. Given the points A(3,5) and B( – 3, – 7), find b. the parametric equations of the line.

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Q: find parametric equations for the given curve. Line of slope 8 through (−4, 9)

A: Given slope and a point are: The standard equation of line having a slope, m and a point (x1,y1) is…

Q: Find parametric equations for the line that passes through the point (3, 6) and is parallel to the…

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Q: 3. Find a rectangular equation to represent the plane curve. x = 3 tan t, y= 2 sect %3D

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Q: Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented…

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