14.- Sketch the curve represented by the intersection of the surfaces. Find a vector-valued function for the space...
Sketch the space curve represented by the vector-valued function and give the orientation of the curve. r(t) = 5 cos(t)i + 5 sin(t)j + tk o op Tul Tul V - 5 y - 5
1) Find the vector function that represents the curve of intersection for the following surfaces assume y0): 202 + x2 = 9 and 32 + y + 4z2 = 25
3. Find a vector function that represents the curve of intersection between the surfaces S: 21 = y and S: a = rº+y
4) Find the vector function that represents the curve of intersection for the following surfaces (assume y > 0): 202 + z2 = 9 and x2 + y2 + 4z2 = 25
Find a vector function that represents the curve of intersection of the two surfaces: The cone z=sqrt(x^2 + y^2) and the plane z =1 + y.
Sketching a Curve In Exercises 9-12, sketch the curve represented by the vector-valued function and give the orientation of the curve. 2 9. r(t) = (n cost, i sin ) 10. r(t) = (1 + 2.12 - 1) 11. r(t) = (1 + 1)i + (31 - 1)j + 2tk 12. r(t) = 2 cos ti + tj + 2 sin tk 29 12. r(t) = 2 cos ti + tj + 2 sin tk
4) Find the vector function that represents the curve of intersection for the following surfaces (assume y > 0): x2 + z2 = 9 and x2 + y2 + 4z2 = 25
Answer each of the following question about the given the 3-dimensional surfaces x + y² +22 = 20 and 2 = x² + y². (2 pt) A) What quadric surfaces are represented by these equations? Give any details you can. x² + y2 + z = 20 := x2 + y2 (2 pt) B Make a sketch, nothing fancy just a sketch, of these surfaces and identify the space curve of intersection and describe this space curve in your own...
1. 2. Which vector function represents the curve of intersection of the surfaces x = y2 and y² + x2 25 ? = Find a vector that is parallel to both of the planes 2 – y + 2z = 2 and x + y + 3z = 13.
Sketch the space curve. Interval Vector-Valued Function r(t) = -ti + 5tj + 2tk [0, 1] 6 2 2 6 6 22 7. 4 2 Find its length over the given interval. Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize f(x, y) = 2x + 2xy + y Constraint: 2x + y = 200 file 40.80