Question

Find the equations for the tangent line and the normal line to the curve.

x=sen^2(xy) on the point (1/2,pi/2)

the hell, that is the problem... plese help.

pi=3.14 what else do you need???????????

Answer #1

Find the equations for the tangent line and the normal line to
the curve x = sin^2 (xy)? at point ((1/2),(pi/2)).

Find the equation of the line tangent to the curve at the point
(-5,2)
xy^3+x^2=x-5y

Find equations of the tangent plane and normal line to the
surface x=2y^2+2z^2−159x at the point (1, -4, 8).
Tangent Plane: (make the coefficient of x equal to 1).
=0.
Normal line: 〈1,〈1, , 〉〉
+t〈1,+t〈1, ,

Find equations of the tangent plane and normal line to the
surface x=3y^2+1z^2−40x at the point (-9, 3, 2).
Tangent Plane: (make the coefficient of x equal to 1).
=0.
Normal line: 〈−9,〈−9, , 〉〉
+t〈1,+t〈1, , 〉〉.

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 the equations of the tangent and normal to the curve
x2 + y2+3xy-11 = 0 at the point x = 1, y =
2.

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)

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 an equation of the tangent plane and find the equations for
the normal line to
the following surface at the given point.
3xyz = 18 at (1, 2, 3)

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