Find the parametric equations for, the tangent line to the curve It)=4?+1) i t (t+ 4)Ĵ ť 3+3 R at the point (5,6, 24)

Q: Sketch the plane curve represented by the given parametric equations x = 4 cos t + 2, y = 4cos t -…

A: We first make a table for the function t 0 π/2 π 3π/2 2π x 6 2 -2 2 6 y 3 -1 -5 -1 3

Q: The equation of the tangent line to the parametric equations, x = sine, y= 20 + cose at 0 = 0 is y =…

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Q: Find parametric equations for line that is tangent to the curve x=cost, y=sint, z=t at the point…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: 12- Find an equation of the tangent plane to the given parametric surface at the specified point.…

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Q: Find the parametric equations of a vertical line through point (0,9). Assume v = 0 corresponds to…

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Q: Find the equations of the lines tangent and normal to the curve given by the parametric equations x…

A: Given: x=4 costy=2 sin2tt=π3

Q: Consider the parametric equations x = 2t – 5, y = 6. dy Use the derivative formula from Section 10.2…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A: Given surfaces are And the given point P is

Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost 0≤…

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Q: By eliminating parameter t, sketch the parametric curve for the given parametric equations. Then,…

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Q: Find a parametric equation for the line through the point(1,9,3) and perpendicular to the plwne…

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Q: 2. Find the parametric equations of the tangent line to the curve as result of the intersection of…

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Q: (a) Find parametric equations for the tangent line to the curve -tcost, y-t, -tsint at the point…

A: We have to find parametric equations for given point-

Q: What is the rectangular equivalence to the parametric equations? z (8) = 4 cos 0 + 2, y (8) = 2 sin…

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Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

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Q: 7. Sketch the curve with parametric equations z =e, y =e', teR.

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A: Given that z=x2+y2 and 3x−5y+7z=24 and point is 3,4,5. Let fx,y,z=x2+y2−z and gx,y,z=3x−5y+7z−24 We…

Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost…

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Q: 5. Given the parameter 7, constants a and c, show that the parametric equations: X(+) = (cosh () –…

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Q: Eliminate the parameter t from the parametric equationsx = 3+1 2 sec t and y =2+  4 tan t.

A: Given parametric equations are x=3+12 sect and y=2+4 tant We have to eliminate the parameter t from…

Q: Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to the line…

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Q: The parametric equation of the motion of a particle on a plane is given by 3/2. x = te + 2t12; y=t'…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: List all of the points (x,y on the parcmetric curve X= +?+ 4+ y= 6+3 where the tangent line is…

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Q: Find the tangent line(s) to the parametric curve given by a = t-9t and y =t at (0, 9) %3D %3D

A: We have to find the tangent line

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Consider the curve given by the parametric equations x = sin t, y = sin(t + sint) where -oo <t < ∞.…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: find parametric equations for the lines with the given description.  Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

A: Let's find.

Q: Find the parametric equations for the tangent line to the curve x =t* _ 1,y=t* +1,z=t* - at the…

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Q: Find parametric equations for the line through (3, – 7,6) parallel to the x-axis. Let z = 6. X= , y…

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Q: Two parametric equations are given by: x = cos (1), y sin (t) u- sin(t) v - cos(t) In one figure,…

A: Any point in the cartesian coordinate system is defined as x,y. The parametric functions are defined…

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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

A: make a table values t x=t+sint y=cost -π x=-π +sin-π=-π +0=-π =-3.14 y=cos-π=-1 -π2…

Q: I have no idea how to solve this question? Please refer to the image for details.

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Q: Find parametric equations for the tangent line to the curve of intersection of the following two…

A: We have to find parametric equations for the tangent line to the curve of intersection of the given…

Q: The parametric equations for the line tangent to curve of intersection of the surfaces x? + y2 = 8 ,…

A: We have given the surfaces; And the point (2,2,8)

Q: Find parametric equations for the line through the point (0, 1, 3) that is perpendicular to the line…

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Q: Find parametric equations for the tangent line at the point (cos(), sin(), ) on the curve z = cos t,…

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Q: 5. Sketch the parametric curve x = t2 – t, y = t³ – 3t and determine the location (x, y and t) where…

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

Q: Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line…

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Q: 2. Find the parametric equations for the line tangent to the curve given by r(t) = cos ti + sin tj +…

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

A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Q: 30. Find parametric equations for the tangent line to the curve of intersection of the cone z = x +…

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