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Q-1: a) find the equations of the tangent and normal to the curve x + 3xy...
uestion 7[value16jp (a) Find parametric equations for the tangent line to the curve of intersection of the cvlinders y -r2 and z - r2 at the point (1, -1,1) (b) Find an equation for the osculating plane of the curve ア(t) 〈cos 3t, 4t, sin 3t) at the point (-1.4T,0).
uestion 7[value16jp (a) Find parametric equations for the tangent line to the curve of intersection of the cvlinders y -r2 and z - r2 at the point (1, -1,1) (b)...
Find the equations for the tangent line and the normal line to
the curve at the point (0,1)
sen(y) + tan(y) = 5 ln(x)
find an equation of the tangent plane and parametric equations
of the normal line to the surface at the given point
z=-9+4x-6y-x^2-y^2 (2,-3,4)
Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+-
Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+-
1) Graph the curve r(x) (x3-4x6-3xy for the values -2 3x K2 Find f(x) Determine unit tangent vector for x-1 Sketch unit tangent and unit normal vector for x-1
1) Graph the curve r(x) (x3-4x6-3xy for the values -2 3x K2 Find f(x) Determine unit tangent vector for x-1 Sketch unit tangent and unit normal vector for x-1
Find equations for the tangent plane and the normal line at point Po(Xo Yo.20) (5.2.0) on the surface - 8 cos (x) + 4x+y + 5 + 3y2 = 213 The equation for the tangent plane is 80x + 100y + 312 - 600 = 0 Find the equations for the normal line. Let x = 5 + 80t. x= y = (Type expressions using t as the variable:)
Find equations of the tangent lines to the curve y = (x-1)/(x+1) that are parallel to the line x − 2y = 5.
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 In(t), y = 6/t, z = t4; (0,6, 1) x(t), y(t), z(t) = X
3. Find the equations of tangent and normal lines to the given curves at the given points. y2 – 2x – 4y - 1 = 0, at the point (-2,1).
(a) Find the slope m of the tangent to the curve
y = 2 + 4x2 − 2x3
at the point where x = a.
m =
(b) Find equations of the tangent lines at the points (1, 4) and
(2, 2).
y(x)
=
(at the point (1, 4))
y(x)
=
(at the point (2, 2))
(c) Graph the curve and both tangents on a common screen.
say and the sose m of the target to the survey * 2...
1. (10 pts.) Find the equations of the two tangent lines to the parametric curve x = 1, y = 2 - 81 at the point (4,0).