Find the equations for the tangent line and the normal line to the curve at the...
find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=10cost, y=10sint, z=8cos2t; (5sqrt3,5,4)
3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=etcost, yr etsint, z=et; (1,0,1) (b): Find the unit tangent vector T, the principal unit normal N, and the curvature k for the space curve, r(t) =< 3 sint, 3 cost, 4t >.
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
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:)
Q-1: a) find the equations of the tangent and normal to the curve x + 3xy + y = 5 at point (1,1). draw the equation of the ellipse b) Describe and 9x? + 4y +36x - 8y +4 = 0. (20marks)
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (5+?) 1+ (2t - 1)]+(31') k, t=to = 3 What is the standard parameterization for the tangent line? X = y = ZE (Type expressions using t as the variable.)
Question 8 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. Р 14 Tangent Plane: z= Edit Normal Line: X(t) = ? Edit y(t) = Edit z(t) = 1-t
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 parametric equations for the line that is tangent to the given curve at the given parameter value. Question Help (t)= (5 cost)i+(4 - 4 sin t).i+ (20), t=0 What is the standard parameterization for the tangent line? X y = Z- (Type expressions using t as the variable)
The equation of this Find the equation of the tangent Line to the curve y = 6 tan z at the point (536). tangent line can be written in the form y = mx + b where mis: and where bis: