Question 13Solve the problem.Find parametric equations for the normal line to the surface x2 + 2xyz + y2 = 4z2 at the point (1, 1, 1).x = t+ 4, y = t+ 4, z=t- 6x = 4t + 1, y = 4t + 1, z = -6t + 1x =t- 4, y =t - 4, z=t+ 6x = 4t+ 1, y = -4t + 1, z= -6t+1

Find parametric equations for the normal line to the surface x2 + 2xyz + y2 = 4z2 at the point (1,…

Answered: Question 13 Solve the problem. Find…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 61E

See similar textbooks

Similar questions

Shooting into the Wind Using the parametric equations you derived in Problem 6. draw graphs of the path of a projectile with initial speed v0=32ft/s, fired into a headwind of =24ft/s, for the angles =5,15,30,40,45,55,60 and 75. Is it still true that the greatest range is attained when firing at 45 ? Draw some more graphs for different angles, and use these graphs to estimate the optimal firing angle.
Find a parametric equation of the normal line to the following surface at the point (x, y) = (1, 2)
Find parametric equations for the normal line to the surface z=-7x2 -9y2 at the point (2,1,-37)
4. Find the parametric equation of the line through (1, 0, -2) and parallel to the line ⅓ (x – 4) = ½ (y) = z + 2.
Eliminate the parameter to find the explicit equation for the parametric equations given by x(t) = √t + 1, y (t) = t + 2. What is the difference between the graph of the parametric equations and the graph of the explicit (normal) equation?
Consider the surface x2 + y2 − 2xy − x + 3y − z = −4 and the point P(2, −3, 18). Determine the the parametric equations of the normal line to the surface at P0
11. Obtain the rectangular equation from the parametric equations by eliminating the parameter t X=t and Y=2t
A. Sketch the two curves: 1.r1=3cos#. 2. r2=1+cosf.
Find the parametric equations for the line through the point(0, 1, 2) that is perpendicular to the line x = 1 + t, y = 1 − t, z = 2t, and intersects this line.
Suppose parametric equations for the line segment between (2,4) and (−2,2) have the form:x(t)=a+bt y(t)=c+dtIf the parametric curve starts at (2,4) when t=0 and ends at (−2,2) at t=1, then find a, b, c, and d.
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=t^2+1, y=4(t^1/2), z=e^(t^2-t); (2,4,1)

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Question 13 Solve the problem. Find parametric equations for the normal line to the surface x² + 2xyz + y2 = 4z? at the point (1, 1, 1). x =t+ 4, y =t+4, z=t- 6 x = 4t + 1, y= 4t + 1, z= -6t + 1 x =t - 4, y = t- 4, z=t+ 6 x = 4t + 1, y = -4t + 1, z = -6t +1 O OO