Question: Find explicit, implicit and parametric equations for the intersection of the cylinder x 2 + y 2 = 1 with the plane x + y

Find explicit, implicit and parametric equations for the intersection of the cylinder x2+y2=1 with the plane x+y+z=0, and calculate its tangent line at the point (0,1,-1).
Find explicit, implicit and parametric equations

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

(a) Find a vector function that describes the curve of intersection of the cylinder x 2 + y 2 = 4 and the plane x + y + 2z = 4. (b) Use the vector function to find the parametric equations for the...

Q:

1. Use double integration in polar coordinates to find the volume of the solid that lies below the surface z = 5 + x y and above the circle x 2 + y 2 = x in the xy-plane. 2. Find the area of the...

Q:

Calculus 3 : Section 10.5: Problem 1 [1 point] Consider the following geometry problems in 3space Enter T or F depending on whether the statement is true or false. [You must enter T or F -- True and...

Q:

1. [-/0.391 Points] DETAILS LARCALC11 11.5.005. Determine whether each point lies on the line. x = -5 + t, y = 4t, z = 5+t (a) (0, 20, 10) O Yes O No (b) (5, 6, 11) O Yes O No (c) (-7, -8, 3) Yes O...

Q:

Find a vector equation and parametric equations for the line. (Use the parameter r.) The line through the point (5, 2.2, 3.6) and parallel to the vector 2i + 2j k r(t) = G -- I'v X (m), y(t), 2(0) =(...

Q:

# 8 . Given the planes x - y + 2 z = 1 4 and - 2 x + 2 y + z = - 3 do: ( a ) Find parametric equations of their line of intergection, ( b ) Find symmetric equations of the same line, ( c ) Sketch the...

Q:

1. [-/1 Points] DETAILS LARCALC11 11.5.012. 5. [-/1 Points] DETAILS LARCALC11 11.5.029 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the...

Q:

Assignment Submission & Scoring Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit...

Q:

Problem X MATH 10 X re Lec 10.2, x re EU1 - Ch X calorimet X Ch6Pr38: X Factoring X C Solved: ( X G if det(a) x @ 2023-MA X Course H X + X C...

Q:

19. Let P be the point (4, 1, 2). Find parametric equations for the line through P and parallel to the vector (1, -1, 0). 20. (a) Find parametric equations for the intersection of the planes 2x + y z...

Q:

Sand is piled between two walls as shown. Assume the pile to be a quarter section of a cone and that ratio p of this volume is voids (air space). Use the second theorem of Pappus-Guldinus to...

Q:

What is the shape of a frequency with an arithmetic mean of 80 Kg, median of 76 Kg and a mode of 75 Kg ed out of Select one: O a. Symmetric O b. Negatively skewed O c. Positively skewed O d. Flat 3.

Q:

PriceCooperHouse ( PCH ) audits XYZ Corporation. Shelley is a tax partner at PCH who does no work for XYZ . She is not a covered member relative to XYZ . Nonetheless, PCH ' s independence would be...

Q:

If a manufacturer conducted a survey among randomly selected target market households and wanted to be 99% confident that the difference betwe estimate and the actual market share for its new product...