1. (10 pts.) Find the equations of the two tangent lines to the parametric curve r...
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).
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)
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
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)...
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 line that is tangent to the given curve at the given parameter value. r(t) = In 1+ k, t=to=4 What is the standard parameterization for the tangent line? X= y = ZE (Type expressions using t as the variable.)
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.)
112 PUINIS PREVIOUS ANSWERS SLALLE 15.2.07. Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t. y = e-4, z = 5t - ; (0, 1, 0) (X(t), y(t), z(t)) =(
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)
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (2 cos t) + (9-2 sin t))+(0) What is the standard parameterization for the tangent line? t=0 (Type expressions using t as the variable.)