Find a vector equation for the curve of intersection of the surfaces x^2 + y^2 = 4 and z = xy.
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Q: X₁ + 2x₂ - 4x3 = 3 X₁ - 2x₂ + 3x3 = -1 3. 2x₁ +3X₂ X3 = 5 4x₁ + 3x2 - 2x3 = 7 - 5x₁ + 2x₂ - 6x3 = 7
A:
Find a
of the surfaces x^2 + y^2 = 4 and
z = xy.
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- Determine a vector equation for the line tangent of the curve of intersection of the surfaces:Find the two-unit vectors that are parallel to the tangent line to the curve y =x2sin(x) at the point (π/2, π2/4).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.
- give two example of tangent vector on manifoldFind a unit vector tangent to the curve of intersection of -x^2 - 2y^3 = z - 3 and 25/x2 - 4y - 3z^2 = - x + 6 at the point (1,1,0).Find both the parametric and vector equation of the line segment between (−2, 3) and (5, −1) where 0 ≤ t ≤ 1. Please show all your work.
- What is the vector equation of the line tangent to the curve traced at x=1? Determine the curvature traced at x=1.Identify the minimum for the function using the vectoral application of Newton’s method while applying dynamicFind the linear equation of the plane through the point (2, −2, 6) and with normal vector j+2k.