1. (10 pts.) Find the equations of the two tangent lines to the parametric curve x...

Question

Question

Answer 1

Answer #1

x = { and y = 21 -& = 21 = 2(5#*) – 8(3**) = 10€* – 24 = 106* – 242 24(513 – 124) = 51-121 21 dx 2t 12 = 4t = +2 Att = -2, =

Answer 2

Similar Homework Help Questions

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 r = y = 20 - 81 at the point (4,0).
Find parametric equations for the tangent line to the curve with the given parametric equations at...

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 parametric equations for the tangent line to the curve with the given parametric equations at...

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)

Uestion 7[value16jp (a) Find parametric equations for the tangent line to the curve of intersecti...

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)...
112 PUINIS PREVIOUS ANSWERS SLALLE 15.2.07. Find parametric equations for the tangent line to the curve...

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 equations of the tangent lines to the curve y = (x-1)/(x+1) that are parallel to...

Find equations of the tangent lines to the curve y = (x-1)/(x+1) that are parallel to the line x − 2y = 5.

3. (5 points) (a): Find parametric equations for the tangent line to the curve with the...

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...

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...

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.)

Let the curve C in the (x, y)-plane be given by the parametric equations x =...

Let the curve C in the (x, y)-plane be given by the parametric equations x = e + 2, y = e2-1, tER. (a) Show that the point (3,0) belongs to the curve C. To which value of the parameter t does the point (3,0) correspond? (b) Find an expression for dy (dy/dt) without eliminating the parameter t, i.e., using de = (da/dt) (c) Using your result from part (b), find the value of at the point (3,0). (d) From...