find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point.

Q: List all of the points (x, y) on the parametric curve t° + 4t, y = 6t? where the tangent line is…

A: Given that, Parametric equation of the curve are following, x = t3 + 4t,      y = 6t2 and the…

Q: Consider the curve defined by the parametric equations X = cos t, y = 3sec t on the interval…

A: To eliminate t and find cartesian equation.

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: In Exercises 23–38, find parametric equations for the given curve. 25. 4x - y2 = 5

A: For the given curve:                                     4x-y2=5   To determine:…

Q: parametric

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Q: Eliminate the parameter and graph the plane curve represented by the parametric equations, x = 4sin…

A: Given: Parametric equations, x=4sinty=3cost Identity used: sin2A+cos2A=1 where, A is the angle.

Q: Find the area of the surface obtained by rotating the curve of parametric equations: x = 6t -…

A: Area of surface obtained by rotating the curve is given by

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

A:

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

A:

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: Find the distance between the point and the line given by the set of parametric equations. (Round…

A:

Q: find an equation for the plane tangent to thelevel surface ƒ(x, y, z) = c at the point P0 . Also,…

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Q: Find parametric equations for the surface generated by revolving the curve y = 1/x about the x-axis.

A: When y = f(x) is rotated about x axis, we get a surface with parametric representation is,…

Q: True or false: There is more than one way for pairs of parametric equations to represent the same…

A: There is more than one way for pairs of parametric equations to represent the same plane…

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

A: The line is perpendicular to the xy-plane and passes through the origin;

Q: Sketch and identify the curve defined by the parametric equations x = sin²t, y = 2 cost

A: Given the parametric equations  x=sin2t y=2 cost To find : Sketch and identify the curve using given…

Q: Find the area of the surface obtained by rotating the curve of the parametric equations, x =…

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

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Consider the parametric equations: x(t) = 3t + 1 and y(t) = t² + 2t +1 Find a rectangular equation y…

A: First eliminate the then put value

Q: Sketch the surface represented by the parametric equations x = cos³ t and y=sin³ t with 0st≤n/2.…

A: Given: x=cos3t and, y=sin3t we have to find the surface area by rotating about x-axix. Suppose the…

Q: t. A projectile is fired from a height of 8.2 feet with an initial velocity of 122 ft/sec at an…

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Q: Persamaan berparameter bagi lengkung adalah The parametric equations of a curve are 3t + 2 x = In(2t…

A:

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

A:

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

A:

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

A:

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Find the distance from the point (3, 2, 5)to the line with parametric equations x=t,y =l +t ,z = 2 +…

A: The equation of the line in matrix form:                                                xyz = 012 +…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given Equation of line is x=2t,y=t-3, z=2t+2That isx2=y+31=z-22=tequation of line in vector form is…

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at (a,…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: Find a parameterization for the line segment joining points (0,3) and (12,0) using the angle 0 in…

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Q: Try to sketch by hand the curve of intersection of the circu- lar cylinder x + y² = 4 and the…

A: Given, Circular cylinder, x2+y2=4 Parabolic cylinder, z=x2

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: For any queries please let me know through comments.i will try to reply ASAP!!! Please like if…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: To find distance.

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

A:

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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

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

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A:

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Follow the procedure given below.

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

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Q: Sketch the curve by using the parametric equation to plot points. Then, eliminate the parameter 0,…

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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: 7. Sketch the curve with parametric equations x = e-t , y = e', teR.

A: Topic = Functions

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A:

Q: Exercises 15–17, find parametric equations for the line tangent to the curve of intersection of the…

A: Since you have posted a question with multiple question, we will solve first question for you. If…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A:

Q: find parametric equations for the line tangent tothe curve of intersection of the surfaces at the…

A: Given surfaces, x2+2y+2z=4     and   y=1f(x,y,z)=x2+2y+2z-4          and   f(x,y,z)=y-1  And point…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.