We will all rate if correct 4) Find the vector function that represents the curve of...
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
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
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
#46 except z is greater than or equal to 0 42-46 Find a vector function that represents the curve of intersection of the two surfaces. 42. The cylinder x² + y2 = 4 and the surface z = xy 43. The cone z = Vx2 + y2 and the plane z = 1 + y 44. The paraboloid z = 4x2 + y2 and the parabolic cylinder y = x2 45. The hyperboloid z = x2 - y2 and the...
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.
We will all rate if correct 1) For this problem use the following space curve: F(t) =< t, 3 sin(t), 3 cos(t) > a) Determine the unit tangent vector: T. b) Determine the unit normal vector: Ñ. c) Determine the curvature of this space curve at the point: (0,0,3). d) Determine the arc length of the curve between t = 0 and t = 1.
Prove that there are no natural number solutions to the equation where x, y ≥ 2 ... (See Picture Below) Prove that there are no natural number solutions to the equation where X, Y > 2. x2 - y2 = 1.
Question 3 3 pts Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cone z = V x2 + y2 and the plane z =6+y 12 1 12 a. r= 1 (61,42 – 36,42 +36) b. 1) = 1 (12t,t2 + 36,42 +36) +(12t,– 12,42 +12) ${12t,t2 – 36,2 +36) P(8) = 1 / 2 C. d. (6) 2 1
3. Find a vector function that represents the curve of intersection between the surfaces S: 21 = y and S: a = rº+y
a) Find the length of the curve traced by the given vector function on the indicated interval: r(t)e' costie' sin tj+e'k 0<t<In2 b) Find the gradient of the scalar function f 6xyz + 2x+ xz at (1, 1, -1) c) Find the curl of the given vector field: F(x, y,z) 4xyi + (2x2 +2yz)j+(3z2+y2)k