Question

Find parametric equations for the curve of intersection of the cylinders x^+y^2=1 and x^2+z^2=1. Use 3D Calc Plotter to graph the two surfaces. Then graph your parametric equations for the curve of intersection. Use a different constant primary color for each of your parametric curves. Print out your graph.

I need help on how to do this using 3D Calc Plotter please.

Thank you.

Answer #1

Find a set of parametric equations for the tangent line to the
curve of intersection of the surfaces at given point
z=x^2+y^2,z=16-y,(4,-1,17)

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 = 9 −
y, (3, −1, 10)

a) Find a parametric equation for a curve given as an
intersection of a sphere x^2 + y^2 + z^2 = 1 and a plane x + z = 1,
where 0 ≤ a ≤ 1.
b) Do the contour plot of the function f(x, y) = x 2 −y 2 . The
contour plot is a collection of several level curves drawn on the
same picture (be sure to include level curves for positive,
negative and zero value of...

Find the parametric equations for the tangent line to the curve
that is the intersection of the paraboloid z=4x^2+y^2 and the
parabolic cylinder y=x^2 at the point (1,1,5).

Find parametric equations for the tangent line to the curve with
the given parametric equations at the specified point.
x =
e−5t
cos(5t), y =
e−5t
sin(5t), z =
e−5t; (1, 0, 1)

Find parametric equations for the tangent line to the curve with
the given parametric equations at the specified point.
x =
e−8t
cos(8t), y =
e−8t
sin(8t), z =
e−8t; (1, 0, 1)

Use Lagrange multipliers to find the highest point on the curve
of intersection of the surfaces. (double-check your
answer!)
Sphere: x2 + y2 + z2 =
30, Plane: 2x + y − z = 4
(x, y, z) =

Find parametric equations of the line that passes through (1, 2,
3) and is parallel to the plane
2 x − y + z = 3 and is perpendicular to the line with parametric
equations:
x=5-t, y=3+2t , z=4-t

Find parametric equations of the line that passes through (1, 2,
3) and is parallel to the plane
2 x − y + z = 3 and is perpendicular to the line with parametric
equations:
x=5-t, y=3+2t, z=4-t

The curve given by the parametric equations of x = 1-sint, y = 1-cos t ,
Calculate the volume of the rotational object formed by rotating the x axis use of the parts between t = 0 and t = π / 2.
Please solve this question carefully , clear and step by step.I
will give you a feedback and thumb up if it is correct.

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