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- Find a vector equation for the curve of intersection between the surfaces y^2-x^2=9 and 2x-3y-z=12.Find a vector equation for the curve of intersectionof the surfaces x^2 + y^2 = 4 andz = xy.Find the vector equation that represents the curve of intersection of the paraboloid z=3x^2+y^2 and the surface y=x^3. Write the equation so that one of the functions is simply t.
- Find a vector function that represents the curve of intersection of the surface 4x+2y-8z^2=16 and the cylinder of radius 3 wrapped around the y-axis.find an equation for the plane that is tangent to z=4x^2+y^2 at the point (1,1,5)Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The paraboloid z = 3x2 + y2 and the parabolic cylinder y = 2x2 r(t) = (1,322 + 9^) * Need Help? Read It
- Solve for the distance between the point P(0,0,0,0) and the plane w + x + y + z = 3 in R^4.Find a vector function that represents the curve of intersection of the paraboloid z = 7(x^2) + 2(y^2) and the cylinder y=4x^2. Use the variable t for the parameterFind the vector equation of the plane tangent to the surface z = x^3 - y^3 at the point (0,1,-1)
- Find the equation of the plane tangent to the surface of Z = x^2 + y^2 at point P(1, 2, 5).Find the unit vectors that are parallel to the tangent line to the parabola y = x^2 at point (2, 4). Attached is a picture of the problem. Thank you.Find an equation for the tangent plane to the surface z = 3y^2 − 2x^2 + x atP(2, −1, −3). Express your answer in the form z = ax + by + c.