I need 74,75,76,77 step by step 74. Determine the parametric equations for the line perpendicular to L: r = (5,6) +s(1,-5), se R containing the3 point P(2,4).75. Determine the Cartesian equation for a line passing through the point P( 1,3) with normal vector n =(3,5).76. Determine the Cartesian equation of the line with parametric equations x = 2t - 1, y = 4t+2, te R.77. Determine the coordinates of a point on the line with symmetric equation :x +3y-2z+4%3D4#8. Determine the symmetric equation of the line going through the points P(-2,0,3) and O(13 7)

Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

Answered: 74. Determine the parametric equations…

74. Determine the parametric equations for the line perpendicular to L:r = (5,6) + s(1,-s). ,sER containing the point P(2,4).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

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: Give a vector parametric equation for the line through the point (3, 1) that is perpendicular to the…

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

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

Q: 1) Find the parametric equations of the line that is tangent to circle x² + y2 = 25 %3D at point (3,…

A: Given: Equation of circle: x2+y2=25 and tangent at point 3, -4

Q: Q1. Find the curvature of the line whose parametric equations are given as: x = -2+t, y =3+ 2t, z…

Q: Find parametric equations of the line through (-1,0,3) that is parallel to 5i – 6j+k. x(t) y(t) =…

Q: The parametric equation of the line resulted from intersection of x-y 0, and z = 2 is %3D

A: Use the given planes.

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

Q: x = 2t2 – C : 3t + 1 y = et²-1

Q: (3) Find a parametric equation for the line segment joining (1, 0, 1) and (0, –2, 1).

A: The direction vector of the segment is: (0,-2,1) - (1,0,1) = (-1, -2, 0) Initial point is (1,0,1).…

Q: Find parametric equations for the line segment joining the points (6, 2) and (9, 10). x=t, y 2+8t,…

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

Q: 8. Find a parametric representation of the line through the point P(1,0,4) and perpendicular to the…

Q: Can someone help me out with this question?

A: On a horizontal line, the y value is fixed. And x values are changing.

Q: Find the distance between the point (1, −2, 4) and the line given by the set of parametric equations…

A: The given point is M=(1, −2, 4) The direction vector of the line is =s=(2,1,2) A point on the line…

Q: What is the parametric equation of line through the point (1,2,-1) and perpendicular to the plane…

A: What is the parametric equations of line line through the point (1,2,-1)and is perpendicular to the…

Q: Find the equation of the tangent line of the parametric equations x = 2 – 3 cos 0, y = 3+2 sin 6 at…

A: Given that: x=2-3cosθ and y=3+2sinθ

Q: Find parametric equations for the line segment joining the points (9, 8) and (16, 11). O x=9+7t, y…

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: Find the length of arc of the curve given by the parametric equations x = t°, y=t² from the point…

A: Arc length is given byL=∫abdxdt2+dydt2dt

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

A: Given: The parametric equations for the line tangent to curve of intersection of the surfaces…

Q: Given the planes π1 : x − 2y + 3z + 1 = 0 and π2 : 2x + y + z + 2 = 0. Let L be the line of…

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

Q: What is the parametric equation of line through the point (1,2,-1) and perpendicular to the plane…

A: The objective is to find the parametric equations of the line through the point.

Q: Eliminate the parameter t from the parametric equationsx =3 +sin t and y = cos t - 2.

A: Given: x=3+sint and y=cost-2 We have to eliminate the parameter t from the parametric equations.…

Q: 4. Find the parametric equation of the tangent line to r(t) = 4costi – 3tj %3D at Po(2, –n)

A: Given: To find the parametric equation of the given tangent line as follows, r(t) = 4 costi- 3tj…

Q: s) Find the parametric equations of the line that is perpendicular to the plane 2x +y+3z = 4 through…

Q: Find the parametric equations for the line through the point (5, 2, 9) and perpendicular to the…

A: The parametric equation of a line passing through the point and has a direction cosines <a , b…

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +…

Q: 9. Find the exact length of the parametric curve for the given interval. x = 4t 2 - 3, y = 3t, 0 St5…

Q: Find parametric equations, in terms of t, of the line passing through (2, 2, 12) and parallel to the…

A: Given: The line is passing through 2,2,12. Also, it is parallel to the line: x=5-9ty=2z=4+t The…

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

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

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

Q: Which of the following is Parametric equations for the line passing through the origin and A(3, -2,…

A: We will use Standard form of parametric equation of Line passing through two points

Q: Match the parametric equation with the corresponding plane curve displayed. Sx=47-5 y=16 130 104 78…

A: The given parametric equation is: x=4t2-5y=16t4

Q: Find parametric equations for the line pass- ng through the point P(1, –1, 3) and perpen- licular to…

A: Given that: Line is passing through P(1,-1,3) and perpendicular to the plane: 4x+3y-2z=6.

Q: Find parametric equations for the line segment thatgoes from Q(0, 3) to P(-2, 0).

A: Given Q(0,3) and P(-2,0)

Q: Find the length of the curve having a parametric equation of x= 2cos³0 and y=2sin²0 from 0-0 to…

Q: Find parametric equations of the line through (-2, –1, 3) that is parallel to 2i – 3j+k. x(t) = %3D…

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x+2y…

A: Let F(x,y,z) define a surface that is differentiable at a point (x0,y0,z0), then the normal line to…

Q: Eliminate the parameter in x = -t +2t and y =t-4 and then identify the parametric curve and sketch…

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

A: Topic = Functions

Q: List all of the points (x,y) on the parametric curve x=t^3+4t, y=6t^2 where the tangent line is…

Q: Find a set of parametric equations for the line passing through the point (1, 0, 2) that is…

Q: Find the distance between the point (4, −1, 5) and the line given by the set of parametric equations…

A: The point is: P(4, −1, 5) The line is: x = 3, y = 1 + 3t, z = 1 + t The line is: <3, 1, 1> +…

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

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

I need 74,75,76,77 step by step

74. Determine the parametric equations for the line perpendicular to L: r = (5,6) +s(1,-5), s
e R containing the
3 point P(2,4).
75. Determine the Cartesian equation for a line passing through the point P( 1,3) with normal vector n =
(3,5).
76. Determine the Cartesian equation of the line with parametric equations x = 2t - 1, y = 4t+2, te R.
77. Determine the coordinates of a point on the line with symmetric equation :
x +3
y-2
z+4
%3D
4
#8. Determine the symmetric equation of the line going through the points P(-2,0,3) and O(13 7)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find the parametric equations for the line through the point P = (-1, 4, -4) that is perpendicular to the plane 2x−4y−2z=1.2x−4y−2z=1.Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. x = y = z = (B) At what point Q does this line intersect the yz-plane? Q = ( , , )
Find parametric equations for the normal line to the following surface at the indicated point.z = 4x2 − 5y2; (4, 5, -61)In your answer, use the given point and a unit direction vector that has a positive x-coordinate.
The planes 5x+y+z=−6 and 3y+5z=22 are not parallel, so they must intersect along a line that is common to both of them. The vector parametric equation for this line is?
Find the distance between the skew lines with parametric equations x = 1 + t, y = 3 + 6t, z = 2t, and x = 2 + 2s, y = 6 + 14s, z = −3 + 5s.
Find the distance between the skew lines with parametric equations x=2+t,y=1+6t,z=2t&x=2+2s,y=4+15s,z=-2+6s
Suppose a line is given parametrically by the equation L(t)=(1-t, t-4, 1-t) then the vector u and point Po that were used to define this line are = ?
Find both the parametric and vector equation of the line segment between (−2, 3) and (5, −1) where 0 ≤ t ≤ 1. Please show all your work.
Find the set of symmetric and parametric equations of the line passing through the point P(3, 4, 1) that is parallel to the plane 3x−2y −z −4 = 0 and perpendicular to the line 2x = −y/2 = −3z.
Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the line <1−4t,3t−3>
Provide the point-normal form equation of the plane containing (1, -1, 4) and line with parametric equations x=1+3t, y=2+6t, and z=−t
Find parametric equations for the line through (1,10,-3) perpendicular to the plane 10x+3y+5z=19. Let z=-3+5t. x___, y____, z_____, −∞<t<∞ (Type expressions using t as the variable.)
Find the distance between the skew lines with the given parametric equations. x = 2 + t, y = 3 + 6t, z = 2tx = 1 + 2s, y = 5 + 14s, z = -3 + 5s.