Find a set of parametric equations for the tangent line to the curve of intersection of...

Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces at the given point. (Enter your answers as a comma-separated list of equations.) z = sqrt(x2 + y2) , 9x − 3y + 5z = 40, (3, 4, 5)

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Colby Messinger answered 1 year ago

Find a set of parametric equations for the tangent line to the curve of intersection of...

Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces at the given point. (Enter your answers as a comma-separated list of equations.) z = x2 + y2, z = 16 − y, (4, −1, 17)

Find parametric equations for the tangent line to the curve with the given parametric equations at...

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.$$ x=e^{-t} \cos t, \quad y=e^{-t} \sin t, \quad z=e^{-t} ; \quad(1,0,1) $$(b): Find the unit tangent vector $\mathbf{T}$, the principal unit normal $\mathbf{N}$, and the curvature $\kappa$ for the space curve,$$ \mathbf{r}(t)=<3 3="" 4="" sin="" cos="" t="">$$

Find the equation of the tangent plane and the parametric equations for the normal line to...

Find the equation of the tangent plane and the parametric equations for the normal line to the surface x2 + y2 - z = 0 at the point P(4,-1, 6). Show all steps

Find the parametric equations of the line of intersection of the planes x − z =...

Find the parametric equations of the line of intersection of the planes x − z = 1 and y + 2z = 3. (b) Find an equation of the plane that contains the line of intersection above and it is perpendicular to the plane x + y − 2z = 1.

Question: (a) Find parametric equations for the line of intersection of the planes given by 3x...

Question: (a) Find parametric equations for the line of intersection of the planes given by 3x − 2y + z = 1 and 2x + y − 3z = 3. (b) Find the equation of the plane orthogonal to both of these planes and passing through the point (−2, 1, 1).

1. Given parametric equations below, find dy/dx , equations of the tangent and normal line at...

1. Given parametric equations below, find dy/dx , equations of the tangent and normal line at the given point. (a) x = t^2 , y = t^3−3t at t = 1 (b) x = cos(t), y = sin(2t) at t = π/4 2. ) Given parametric equations below, find d^2y/dx^2 and determine the intervals on which the graph of the curve is concave up or concave down. (a) x = t^2 , y = t^3−3t (b) x = cos(t), y...

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Find a set of parametric equations for the tangent line to the curve of intersection of...

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